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achievers.online/question-details/the-number-of-3-digit-numbers-that-are-divisible-by-either-3-or-4-but-not-divisible-by-48-is-2023https://smartachievers.online/question-details/the-number-of-ways-of-selecting-two-numbers-a-and-b-a-2-4-6-100-and-b-1-3-5-99-such-that-2-is-the-remainder-when-a-b-is-divided-by-23-is-2023https://smartachievers.online/question-details/the-number-of-permutations-of-the-digits-1-2-3-7-without-repetition-which-neither-contain-the-string-153-nor-the-string-2467-is-________-2023https://smartachievers.online/question-details/the-sum-of-all-the-four-digit-numbers-that-can-be-formed-using-all-the-digits-2-1-2-3-is-equal-to-_________-2023https://smartachievers.online/question-details/in-an-examination-5-students-have-been-allotted-their-seats-as-per-their-roll-numbers-the-number-of-ways-in-which-none-of-the-students-sits-on-the-allotted-seat-is-__________-2023https://smartachievers.online/question-details/the-number-of-seven-digit-positive-integers-formed-using-the-digits-1-2-3-and-4-only-and-sum-of-the-digits-equal-to-12-is-__________-2023https://smartachievers.online/question-details/total-numbers-of-3-digit-numbers-that-are-divisible-by-6-and-can-be-formed-by-using-the-digits-1-2-3-4-5-with-repetition-is-________-2023https://smartachievers.online/question-details/a-person-forgets-his-4-digit-atm-pin-code-but-he-remembers-that-in-the-code-all-the-digits-are-differentthe-greatest-digit-is-7-and-the-sum-of-the-first-two-digits-is-equal-to-the-sum-of-the-last-two-digitsthen-the-maximum-number-of-trials-necessary-to-obhttps://smartachievers.online/question-details/the-number-of-3-digit-numbers-that-are-divisible-byeither-2-or-3-but-not-divisible-by-7-is-___________-2023https://smartachievers.online/question-details/the-number-of-words-with-or-without-meaning-that-can-be-formed-using-all-the-letters-of-the-word-assassination-so-that-the-vowels-occur-together-is-__________-2023https://smartachievers.online/question-details/the-total-number-of-six-digit-numbers-formed-using-the-digits-4-5-9-only-and-divisible-by-6-is-________-2023https://smartachievers.online/question-details/the-number-of-9-digit-numbers-that-can-be-formed-using-all-the-digits-of-the-number-123412341-so-that-the-even-digits-occupy-only-even-places-is-__________-2023https://smartachievers.online/question-details/let-and-be-distinct-integers-whereandthen-the-number-of-ways-of-choosingandsuch-thatis-divisible-by-5-is-_________-2023https://smartachievers.online/question-details/five-digit-numbers-are-formed-using-the-digits-1-2-3-5-7-with-repetitions-and-are-written-in-descending-order-with-serial-numbers-for-example-the-number-77777-has-serial-number-1-then-the-serial-number-of-35337-is-_______-2023https://smartachievers.online/question-details/the-total-number-of-4-digit-numbers-whose-greatestcommon-divisor-with-54-is-2-is-_________-2023https://smartachievers.online/question-details/number-of-4-digit-numbers-the-repetition-of-digits-is-allowed-which-are-made-using-the-digits-1-2-3-and-5-and-are-divisible-by-15-is-equal-to-______-2023https://smartachievers.online/question-details/let-n-0-n-3-2-n-2-n-1-n-n-2-n-a-e-b-e-c-where-a-b-c-and-e-n-0-1-n-then-a-2-b-c-is-equal-to-________-2023https://smartachievers.online/question-details/the-number-of-seven-digits-odd-numbers-that-can-be-formed-using-all-the-seven-digits-1-2-2-2-3-3-5-is-_______-2023https://smartachievers.online/question-details/let-5-digit-numbers-be-constructed-using-the-digits-0-2-3-4-7-9-with-repetition-allowed-and-are-arranged-in-ascending-order-with-serial-numbers-then-the-serial-number-of-the-number-42923-is-_______-2023https://smartachievers.online/question-details/if-p-n-1-p-n-11-21-2-n-1-2-n-1-then-n-2-n-15-is-equal-to-______-2023https://smartachievers.online/question-details/if-c-3-c-3-10-1-n-2-n-then-the-ratio-n-2-3-n-n-2-3-n-4-is-2023https://smartachievers.online/question-details/let-the-number-of-elements-in-sets-a-and-b-be-five-and-two-respectively-then-the-number-of-subsets-of-a-x-b-each-having-at-least-3-and-at-most-6-elements-is-2023https://smartachievers.online/question-details/the-number-of-triplets-x-y-z-where-x-y-z-are-distinct-non-negative-integers-satisfying-x-y-z-15-is-2023https://smartachievers.online/question-details/k-0-6-c-3-51-k-is-equal-to-2023https://smartachievers.online/question-details/the-number-of-ways-of-giving-20-distinct-oranges-to-3-children-such-that-each-child-gets-at-least-one-orange-is-__________-2023https://smartachievers.online/question-details/the-number-of-4-letter-words-with-or-without-meaning-each-consisting-of-2-vowels-and-2-consonants-which-can-be-formed-from-the-letters-of-the-word-universe-without-repetition-is-___________-2023https://smartachievers.online/question-details/some-couples-participated-in-a-mixed-doubles-badminton-tournament-if-the-number-of-matches-played-so-that-no-couple-played-in-a-match-is-840-then-the-total-numbers-of-persons-who-participated-in-the-tournament-is-___________-2023https://smartachievers.online/question-details/number-of-integral-solution-to-the-equation-x-y-z-21-where-x-1-y-3-z-4-is-equal-to-__________-2023https://smartachievers.online/question-details/a-boy-needs-to-select-five-courses-from-12-available-courses-out-of-which-5-courses-are-language-courses-if-he-can-choose-at-most-two-language-courses-then-the-number-of-ways-he-can-choose-five-courses-is-_______-2023https://smartachievers.online/question-details/let-s-1-2-3-5-7-10-11-the-number-of-non-empty-subsets-of-s-that-have-the-sum-of-all-elements-a-multiple-of-3-is-________-2023https://smartachievers.online/question-details/suppose-anils-mother-wants-to-give-5-whole-fruits-to-anil-from-a-basket-of-7-red-apples-5-white-apples-and-8-oranges-if-in-the-selected-5-fruits-at-least-2-oranges-at-least-one-red-apple-and-at-least-one-white-apple-must-be-given-then-the-number-of-ways-ahttps://smartachievers.online/question-details/if-all-the-six-digit-numbers-with-are-arranged-in-the-increasing-order-then-the-sum-of-the-digits-in-the-72th-number-is-___________-2023https://smartachievers.online/question-details/among-the-statements-s-1-2023-2022-1999-2022-i-s-d-i-v-i-s-i-b-l-e-b-y-8-s-2-13-13-n-11-n-13-i-s-d-i-v-i-s-i-b-l-e-b-y-144-f-o-r-i-n-f-i-n-i-t-e-l-y-m-a-n-y-n-2023https://smartachievers.online/question-details/25-190-19-190-8-190-2-190-is-divisible-by-2023https://smartachievers.online/question-details/let-the-number-22-2022-2022-22-leave-the-remainder-when-divided-by-3-and-when-divided-by-7-then-2-2-is-equal-to-2023https://smartachievers.online/question-details/if-1-n-1-c-n-n-1-n-c-n-1-n-1-2-c-1-n-c-0-n-1023-10-t-h-e-n-n-i-s-e-q-u-a-l-t-o-2023https://smartachievers.online/question-details/the-sum-of-the-coefficients-of-the-first-50-terms-in-the-binomial-expansion-of-1-x-100-is-equal-to-2023https://smartachievers.online/question-details/fractional-part-of-the-number-4-2022-15-is-equal-to-2023https://smartachievers.online/question-details/the-value-of-1-1-50-1-3-48-1-5-46-1-49-2-1-51-1-is-2023https://smartachievers.online/question-details/the-value-of-r-0-22-c-r-c-r-23-22-is-2023https://smartachievers.online/question-details/if-c-1-30-2-2-c-2-30-2-3-c-3-30-2-30-c-30-30-2-60-30-2-then-is-equal-to-2023https://smartachievers.online/question-details/let-x-8-3-13-13-and-y-7-2-9-9-if-t-denotes-the-greatest-integer-t-then-2023https://smartachievers.online/question-details/the-largest-natural-number-n-such-that-3ndivides-66-is-_______-2023https://smartachievers.online/question-details/the-remainder-when7-103is-divided-by-17-is-________-2023https://smartachievers.online/question-details/the-remainder-when-19-200-23-200-is-divided-by-49-is-________-2023https://smartachievers.online/question-details/suppose-r-0-2023-r-2-c-r-2023-2023-2-2022-then-the-value-of-is-___________-2023https://smartachievers.online/question-details/let-the-sum-of-the-coefficients-of-the-first-three-termsin-the-expansion-ofbe-376-then-the-coefficient-ofx4is-___________-2023https://smartachievers.online/question-details/the-remainder-when2023-2023is-divided-by-35-is-__________-2023https://smartachievers.online/question-details/50th-root-of-a-number-x-is-12-and-50th-root-of-another-number-y-is-18-then-the-remainder-obtained-on-dividing-x-y-by-25-is-_________-2023https://smartachievers.online/question-details/the-remainder-on-dividing-5-99by-11-is-_________-2023https://smartachievers.online/question-details/if-the-ratio-of-thefifth-term-from-the-beginningto-the-fifth-term-from-the-end-in-the-expansion-ofisthen-the-third-term-from-thebeginning-is-2023https://smartachievers.online/question-details/if-the-coefficients-of-x-7-in-a-x-2-1-2-b-x-11-and-x-7-in-a-x-1-3-b-x-2-11-are-equal-then-2023https://smartachievers.online/question-details/if-the-coefficients-of-three-consecutive-terms-in-theexpansion-ofare-in-the-ratio-1520-thenthe-coefficient-of-the-fourth-term-is-2023https://smartachievers.online/question-details/the-absolute-difference-of-the-coefficients-of-x-10-and-x-7-in-the-expansion-of-2-x-2-1-2-x-11-is-equal-to-2023https://smartachievers.online/question-details/if-the-coefficient-of-x-7-in-a-x-1-b-x-2-13-and-the-coefficient-of-x-5-in-a-x-1-b-x-2-13-are-equal-then-a-4-b-4-is-equal-to-2023https://smartachievers.online/question-details/if-the-coefficients-of-x-and-x-2-in-1-x-p-1-x-q-are-4-and-5-respectively-then-2-p-3-q-is-equal-to-2023https://smartachievers.online/question-details/the-sum-of-the-coefficients-of-three-consecutive-terms-in-the-binomial-expansion-of-which-are-in-the-ratio135-is-equal-to-2023https://smartachievers.online/question-details/the-coefficient-of-x-5-in-the-expansion-of-2-x-3-1-3-x-2-5-is-2023https://smartachievers.online/question-details/if-a-r-is-the-coefficient-of-x-10-r-in-the-binomial-expansion-of-1-x-10-then-r-1-10-r-3-a-r-a-r-1-2-is-equal-to-2023https://smartachievers.online/question-details/letbe-the-sum-of-the-coefficients-of-the-oddpowers-ofin-the-expansion-of-letbe-the-middle-term-in-the-expansion-of-if-whereandare-odd-numbers-then-the-ordered-pairis-equal-to-2023https://smartachievers.online/question-details/the-coefficient-of-x-301-in-1-x-500-x-1-x-499-x-2-1-x-498-x-500-is-2023https://smartachievers.online/question-details/if-the-coefficient-ofin-the-expansion-ofis-equal-to-the-coefficient-ofin-the-expansion-of-whereandarepositive-real-numbers-then-for-each-such-ordered-pair-a-b-2023https://smartachievers.online/question-details/the-coefficient-of-x-18-in-the-expansion-of-x-4-1-x-3-15-is-__________-2023https://smartachievers.online/question-details/if-the-constant-term-in-the-expansion-of-3-x-2-1-2-x-5-7-is-then-is-equal-to-_______-2023https://smartachievers.online/question-details/the-number-of-integral-terms-in-the-expansion-of-3-1-2-5-1-4-680-is-equal-to-___________-2023https://smartachievers.online/question-details/letbe-the-constant-term-in-the-binomial-expansion-of-if-the-sum-of-the-coefficients-of-the-remaining-terms-in-the-expansion-is-649-and-the-coefficient-ofis-thenis-equal-to-_________-2023https://smartachievers.online/question-details/let-the-sixth-term-in-the-binomial-expansion-of-in-the-increasing-powers-of-be-21-if-the-binomial-coefficients-of-the-second-third-and-fourth-terms-in-the-expansion-are-respectively-the-first-third-and-fifth-terms-of-an-ap-then-the-sum-of-the-squares-of-ahttps://smartachievers.online/question-details/if-the-term-without-x-in-the-expansion-of-x-2-3-x-3-22-is-7315-then-is-equal-to-________-2023https://smartachievers.online/question-details/the-constant-term-in-the-expansion-of-2-x-1-x-7-3-x-2-5-is-_______-2023https://smartachievers.online/question-details/let-the-coefficients-of-three-consecutive-terms-in-the-binomial-expansion-ofbe-in-the-ratio258then-the-coefficient-of-the-term-which-is-in-the-middle-of-these-three-terms-is-_________-2023https://smartachievers.online/question-details/if-the-co-efficient-of-x-9-in-x-3-1-x-11-and-the-co-efficient-of-x-9-in-x-1-x-3-11-are-equal-then-2-is-equal-to-________-2023https://smartachievers.online/question-details/let-0-be-the-smallest-number-such-that-the-expansion-of-x-2-3-2-x-3-30-has-a-term-x-n-then-is-equal-to-________-2023https://smartachievers.online/question-details/binomial-theorem-and-its-simple-applications-important-questions-17https://smartachievers.online/question-details/if-the-constant-term-in-the-binomial-expansion-of-is-and-the-coefficient-of-is-where-is-an-odd-number-then-is-equal-tohttps://smartachievers.online/question-details/let-a-b-x-c-x-2-10-i-0-20-p-i-x-i-a-b-c-if-p-1-20-and-p-2-210-then-2-a-b-c-is-equal-to-2023https://smartachievers.online/question-details/the-coefficient-of-x-7-in-1-x-2-x-3-10-is-_________-2023https://smartachievers.online/question-details/the-sumof-the-first-20-terms-of-the-series-5-11-19-29-41-is-2023https://smartachievers.online/question-details/if-gcd-m-n-1-and-1-2-2-2-3-2-4-2-2021-2-2022-2-2023-2-1012-m-2-n-then-m-2-n-2-is-equal-to-2023https://smartachievers.online/question-details/if-s-n-4-11-21-34-50-to-n-terms-then-1-60-s-29-s-9-is-equal-to-2023https://smartachievers.online/question-details/letrespectively-be-the-sum-to-12terms-of-10-ap-whose-first-terms-are-1-2-3-10-and-the-common-difference-are-1-3-5-19respectively-thenis-equal-to-2023https://smartachievers.online/question-details/if-a-n-2-4-n-2-16-n-15-then-a-1-a-2-a-25-is-equal-to-2023https://smartachievers.online/question-details/let-a-1-a-2-a-3-be-an-ap-if-a-7-3-the-product-a-1-a-4-is-minimum-and-the-sum-of-its-first-n-terms-is-zero-then-n-4-a-n-n-2-is-equal-to-2023https://smartachievers.online/question-details/the-sum-of-all-those-terms-of-the-arithmetic-progression-3-8-13373-which-are-not-divisible-by-3-is-equal-to-__________-2023https://smartachievers.online/question-details/let-the-digits-a-b-c-be-in-ap-nine-digit-numbers-are-to-be-formed-using-each-of-these-three-digits-thrice-such-that-three-consecutive-digits-are-in-ap-at-least-once-how-many-such-numbers-can-be-formed-2023https://smartachievers.online/question-details/letbe-an-ap-if-the-sum-of-its-firstfour-terms-is-50-and-the-sum-of-its-last-four-termsis-170-then-the-product-of-its-middle-two-terms-is-_________-2023https://smartachievers.online/question-details/the-sum-of-the-common-terms-of-the-following-three-arithmetic-progressions-3-7-11-15-399-2-5-8-11-359-and-2-7-12-17-197-is-equal-to-________-2023https://smartachievers.online/question-details/letbe-the-three-ap-with-the-same-commondifference-and-having-their-first-terms-as-a-a-1-a-2respectively-letbe-theterms-ofrespectively-such-thatifthen-the-sum-of-first-20-terms-of-an-ap-whose-first-term-isand-common-difference-is-is-equal-to-________-2023https://smartachievers.online/question-details/the-8-t-h-common-term-of-the-series-s-1-3-7-11-15-19-s-2-1-6-11-16-21-is-_________-2023https://smartachievers.online/question-details/let-a-1-a-2-a-n-be-in-ap-if-a-5-2-a-7-and-a-11-18-then-12-1-a-10-a-11-1-a-11-a-12-1-a-17-a-18-is-equal-to-_______-2023https://smartachievers.online/question-details/number-of-4-digit-numbers-that-are-less-than-or-equal-to-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es-of-argon-and-6-moles-of-oxygen-at-temperature-t-neglecting-all-vibrational-modesthe-total-internal-energy-of-the-system-ishttps://smartachievers.online/question-details/two-moles-a-monoatomic-gas-is-mixed-with-six-moles-ofa-diatomic-gas-the-molar-specific-heat-of-the-mixture-atconstant-volume-ishttps://smartachievers.online/question-details/a-sample-of-gas-at-temperature-t-is-adiabatically-expandedto-double-its-volume-adiabatic-constant-for-the-gas-isthe-work-done-by-the-gas-in-the-process-is-n-1-molehttps://smartachievers.online/question-details/during-an-adiabatic-process-if-the-pressure-of-a-gas-is-foundto-be-proportional-to-the-cube-of-its-absolute-temperaturethen-the-ratio-offor-the-gas-ishttps://smartachievers.online/question-details/a-total-of-48-j-heat-is-given-to-one-mole-of-helium-kept-in-acylinder-the-temperature-of-helium-increases-by-2c-thework-done-by-the-gas-ishttps://smartachievers.online/question-details/a-diatomic-gasdoes-100-j-of-work-in-an-isobaricexpansion-the-heat-given-to-the-gas-ishttps://smartachievers.online/question-details/the-volume-of-an-ideal-gas-is-changed-adiabaticallyfrom-5-litres-to-4-litres-the-ratio-of-initial-pressure-to-finalpressure-ishttps://smartachievers.online/question-details/a-sample-of-1-mole-gas-at-temperature-t-is-adiabaticallyexpanded-to-double-its-volumeif-adiabatic-constant-for-thegas-isthen-the-work-done-by-the-gas-in-the-process-ishttps://smartachievers.online/question-details/during-an-adiabatic-process-the-pressure-of-a-gas-is-foundto-be-proportional-to-the-cube-of-its-absolute-temperaturethe-ratio-of-for-the-gas-ishttps://smartachievers.online/question-details/the-pressure-and-volume-of-an-ideal-gas-are-related-asconstant-the-work-done-when-the-gas-is-taken-from-stateto-stateishttps://smartachievers.online/question-details/a-diatomic-gasdoes-200-j-of-work-when-it-isexpanded-isobarically-the-heat-given-to-the-gas-in-theprocess-ishttps://smartachievers.online/question-details/a-simple-pendulum-doing-small-oscillations-at-a-place-rheight-above-earth-surface-has-time-period-ofwould-be-its-time-period-if-it-is-brought-to-a-point-which-isat-a-height-2r-from-earth-surfacehttps://smartachievers.online/question-details/a-plane-progressive-wave-is-given-by-the-frequency-of-the-wave-ishttps://smartachievers.online/question-details/the-speed-of-sound-in-oxygen-at-stp-will-be-approximatelyhttps://smartachievers.online/question-details/the-vehicles-carrying-inflammable-fluids-usually-havemetallic-chains-touching-the-groundhttps://smartachievers.online/question-details/force-between-two-point-charges-and-placed-in-vacuumat-cm-apart-is-f-force-between-them-when-placed-in-amedium-having-dielectricatcm-apart-will-behttps://smartachievers.online/question-details/an-electric-field-is-given-bythe-electricflux-through-a-surface-area-lying-in-yz-plane-in-siunit-ishttps://smartachievers.online/question-details/two-charged-conducting-spheres-of-radii-a-and-b-areconnected-to-each-other-by-a-conducting-wire-the-ratio-ofcharges-of-the-twospheres-respectively-ishttps://smartachievers.online/question-details/an-electric-chargeis-placed-at-origin-0-0-m-ofx-y-co-ordinate-system-two-points-p-and-q-are-situated-atandrespectively-the-potentialdifference-between-the-points-p-and-q-will-behttps://smartachievers.online/question-details/assertion-a-work-done-by-electric-field-on-moving-a-positive-charge-on-an-equipotential-surface-is-always-zerohttps://smartachievers.online/question-details/the-potential-energy-function-in-j-of-a-particle-in-a-region-of-space-is-given-ashereandare-in-meter-the-magnitude-of-component-of-force-in-n-acting-on-the-particle-at-point-p1-2-3m-ishttps://smartachievers.online/question-details/the-electrostatic-potential-due-to-an-electric-dipole-at-adistance-r-varies-ashttps://smartachievers.online/question-details/the-resistances-of-the-platinum-wire-of-a-platinum-resistance-thermometer-at-the-ice-point-and-steam-point-are-andrespectively-after-inserting-in-a-hot-bath-of-temperature400c-the-resistance-of-platinum-wire-ishttps://smartachievers.online/question-details/an-electric-toaster-has-resistance-of-at-roomtemperature-27c-the-toaster-is-connected-to-a-220-vsupply-if-the-current-flowing-through-it-reaches-275-athe-temperature-attained-by-toaster-is-aroundhttps://smartachievers.online/question-details/two-conductors-have-the-same-resistances-atbut-theirtemperature-coefficients-of-resistance-areand-the-respective-temperature-coefficients-for-their-series-and-parallel-combinations-arehttps://smartachievers.online/question-details/the-electric-current-through-a-wire-varies-with-time-aswhereandthe-amountof-electric-charge-crossed-through-a-section-of-the-wire-in-20-sec-ishttps://smartachievers.online/question-details/a-wire-of-resistance-r-and-length-l-is-cut-into-5-equal-parts-if-these-parts-are-joined-parallely-then-resultant-resistancewill-behttps://smartachievers.online/question-details/a-galvanometer-has-a-coil-of-resistancewith-a-full-scale-deflection-atthe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ccentricity-is-e-and-the-length-of-the-latus-rectum-is-thenhttps://smartachievers.online/question-details/the-length-of-the-latus-rectum-and-directrices-of-a-hyperbola-with-eccentricity-e-are-9-and-respectively-let-the-line-touch-this-hyperbola-at-if-m-is-the-product-of-the-focal-distances-of-the-point-then-is-equal-to-__________-2024https://smartachievers.online/question-details/in-male-cockroaches-sperms-are-stored-in-which-part-of-the-reproductive-systemhttps://smartachievers.online/question-details/which-of-the-following-features-is-not-present-in-periplaneta-americanahttps://smartachievers.online/question-details/the-body-cells-in-cockroach-discharge-their-nitrogenous-waste-in-the-haemolymph-mainly-in-the-form-ofhttps://smartachievers.online/question-details/the-terga-sterna-and-pleura-of-the-cockroach-body-are-joined-byhttps://smartachievers.online/question-details/structural-organisation-in-animals-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/structural-organisation-in-animals-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/the-concept-of-omnis-cellula-e-cellula-regarding-cell-division-was-first-proposed-byhttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/which-of-the-following-statements-about-inclusion-bodies-is-incorrecthttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/which-of-the-following-structures-is-not-found-in-a-prokaryotic-cellhttps://smartachievers.online/question-details/the-structures-that-help-some-bacteria-to-attach-to-rocks-andor-host-tissues-arehttps://smartachievers.online/question-details/which-one-of-the-following-is-not-an-inclusion-body-found-in-prokaryoteshttps://smartachievers.online/question-details/which-structures-perform-the-function-of-mitochondria-in-bacteriahttps://smartachievers.online/question-details/the-motile-bacteria-are-able-to-move-byhttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/which-of-the-following-functions-is-carried-out-by-the-cytoskeleton-in-a-cellhttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/how-many-different-proteins-does-the-ribosome-consist-ofhttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/when-the-centromere-is-situated-in-the-middle-of-two-equal-arms-of-chromosomes-the-chromosome-is-referred-ashttps://smartachievers.online/question-details/the-organelles-that-are-included-in-the-endomembrane-system-arehttps://smartachievers.online/question-details/which-is-the-important-site-of-formation-of-glycoproteins-and-glycolipids-in-eukaryotic-cellshttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/cell-the-unit-of-life-biology-neet-previous-year-questionshttps://smartachievers.online/question-details/the-shorter-and-longer-arms-of-a-submetacentric-chromosome-are-referred-to-ashttps://smartachievers.online/question-details/which-of-the-following-pairs-of-organelles-does-not-contain-dnahttps://smartachievers.online/question-details/let-s-be-the-focus-of-the-hyperbola-on-the-positive-x-axis-let-c-be-the-circle-with-its-centre-at-and-passing-through-the-point-s-if-o-is-the-origin-and-sab-is-a-diameter-of-c-then-the-square-of-the-area-of-the-triangle-osb-is-a-diameter-of-c-then-the-squhttps://smartachievers.online/question-details/let-the-latus-rectum-of-the-hyperbola-subtend-an-angle-of-at-the-centre-of-the-hyperbola-if-is-equal-to-where-and-m-are-co-prime-numbers-then-is-equal-to-__________-2024https://smartachievers.online/question-details/let-the-foci-and-length-of-the-latus-rectum-of-an-ellipse-a-b-be-5-0-and-respectively-then-the-square-of-the-eccentricity-of-the-hyperbola-equals-2024https://smartachievers.online/question-details/let-the-solution-y-yx-o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evil-quartet-2025https://smartachievers.online/question-details/which-of-the-following-hormones-released-from-the-pituitary-is-actually-synthesized-in-the-hypothalamus-2025https://smartachievers.online/question-details/role-of-the-water-vascular-system-in-echinoderms-is-2025https://smartachievers.online/question-details/which-of-the-following-type-of-immunity-is-present-at-the-time-of-birth-and-is-a-non-specific-type-of-defence-in-the-human-body-2025https://smartachievers.online/question-details/in-bryophytes-the-gemmae-help-in-which-one-of-the-following-2025https://smartachievers.online/question-details/in-frog-the-renal-portal-system-is-a-special-venous-connection-that-acts-to-link-2025https://smartachievers.online/question-details/statement-i-in-ecosystem-there-is-unidirectional-flow-of-energy-of-sun-from-producers-to-consumers-statement-ii-ecosystems-are-exempted-from-2nd-law-of-thermodynamics-2025https://smartachievers.online/question-details/which-of-the-following-statements-about-rubisco-is-true-2025https://smartachievers.online/question-details/which-of-the-following-enzymes-are-not-essential-for-gene-cloning-a-restriction-enzymes-b-dna-ligase-c-dna-mutase-d-dna-recombinase-e-dna-polymerase-choose-the-correct-answer-from-the-options-given-below-2025https://smartachievers.online/question-details/the-number-of-complex-numbers-z-satisfying-is-2025https://smartachievers.online/question-details/let-o-be-the-origin-the-point-a-be-the-point-be-such-that-and-then-2025https://smartachievers.online/question-details/let-z-1-8-2-i-1-and-z-2-2-6-i-2-z-1-z-2-c-then-the-minimum-value-of-z-1-z-2-is-2025https://smartachievers.online/question-details/read-the-following-statements-on-plant-growth-and-development-a-parthenocarpy-can-be-induced-by-auxins-b-plant-growth-regulators-can-be-involved-in-promotion-as-well-as-inhibition-of-growth-c-dedifferentiation-is-a-pre-requisite-for-re-differentiation-d-ahttps://smartachievers.online/question-details/which-factor-is-important-for-termination-of-transcription-2025https://smartachievers.online/question-details/frogs-respire-in-water-by-skin-and-buccal-cavity-and-on-land-by-skin-buccal-cavity-and-lungs-choose-the-correct-answer-from-the-following-2025https://smartachievers.online/question-details/twins-are-born-to-a-family-that-lives-next-door-to-you-the-twins-are-a-boy-and-a-girl-which-of-the-following-must-be-true-2025https://smartachievers.online/question-details/which-of-the-following-microbes-is-not-involved-in-the-preparation-of-household-products-a-aspergillus-niger-b-lactobacillus-c-trichoderma-polysporum-d-saccharomyces-cerevisiae-e-propionibacterium-sharmanii-choose-the-correct-answer-from-the-options-givenhttps://smartachievers.online/question-details/match-list-i-with-list-ii-chemical-coordination-and-integration-biology-neet-progesterone-2025https://smartachievers.online/question-details/the-blue-and-white-selectable-markers-have-been-developed-which-differentiate-recombinant-colonies-from-nonrecombinant-colonies-on-the-basis-of-their-ability-to-produce-colour-in-the-presence-of-a-chromogenic-substrate-2025https://smartachievers.online/question-details/which-one-of-the-following-equations-represents-the-verhulst-pearl-logistic-growth-of-population-2025https://smartachievers.online/question-details/a-particle-moves-so-that-its-position-vector-is-given-by-where-is-a-constant-which-of-the-following-is-true-2016https://smartachievers.online/question-details/if-vectors-andare-functions-of-time-then-the-value-of-at-which-they-are-orthogonal-to-each-other-is-2015https://smartachievers.online/question-details/the-kinetic-energies-of-two-similar-cars-aand-bare-100-jand-225-jrespectively-on-applying-brakes-car-astops-after-1000-mand-car-b-stops-after-1500-m-if-and-are-the-forces-applied-by-the-brakes-on-cars-aand-b-respectively-then-the-ratio-is-2025https://smartachievers.online/question-details/an-object-moving-along-horizontal-direction-with-kinetic-energy-10-jis-displaced-through-by-the-force-the-kinetic-energy-of-the-object-at-the-end-of-the-displacement-is-2024https://smartachievers.online/question-details/consider-a-drop-of-rain-water-having-mass-1-gfalling-from-a-height-of-1-km-it-hits-the-ground-with-a-speed-of-50-take-constant-with-a-value-10-the-work-done-by-the-i-gravitational-force-and-the-ii-resistive-force-of-air-is-2017https://smartachievers.online/question-details/a-particle-of-mass-10-gmoves-along-a-circle-of-radius-64-cmwith-a-constant-tangential-acceleration-what-is-the-magnitude-of-this-acceleration-if-the-kinetic-energy-of-the-particle-becomes-equal-toby-the-end-of-the-second-revolution-after-the-beginning-ofhttps://smartachievers.online/question-details/statement-i-transfer-rnas-and-ribosomal-rna-do-not-interact-with-mrna-statement-ii-rna-interference-rnai-takes-place-in-all-eukaryotic-organisms-as-a-method-of-cellular-defence-2025https://smartachievers.online/question-details/match-list-i-with-list-ii-breathing-and-exchange-of-gases-neet-questions-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ar-cell-the-characteristics-lies-in-the-iv-quadrant-of-the-given-graph-b-in-a-reverse-biased-pn-junction-diode-the-current-measured-in-is-due-to-majority-charge-carrhttps://smartachievers.online/question-details/let-the-three-sides-of-a-triangle-are-on-the-lines-4x-7y-10-0-x-y-5-and-7x-4y-15-then-the-distance-of-its-orthocentre-from-the-orthocentre-of-the-triangle-formed-by-the-lines-x-0-y-0-and-x-y-1-is-2025https://smartachievers.online/question-details/let-the-area-of-a-pqr-with-vertices-p5-4-q2-4-and-ra-b-be-25-square-units-if-its-orthocenter-and-centroid-are-and-cc-d-respectively-then-c-2d-is-equal-to-2025https://smartachievers.online/question-details/let-the-points-lie-on-or-inside-the-triangle-with-sides-x-y-11-x-2y-16-and-2x-3y-29-then-the-product-of-the-smallest-and-the-largest-values-of-is-equal-to-2025https://smartachievers.online/question-details/let-and-let-a4-cos-t-4-sin-t-b2-sin-t-2-cos-t-and-x3r-n-n-1-be-the-vertices-of-a-triangle-abc-where-tis-a-parameter-if-is-the-locus-of-the-centroid-of-triangle-abc-then-equals-2025https://smartachievers.online/question-details/let-a4-2-b1-1-and-c9-3-be-the-vertices-of-a-triangle-abc-then-the-maximum-area-of-the-parallelogram-afde-formed-with-vertices-d-e-and-f-on-the-sides-bc-ca-and-ab-of-the-triangle-abc-respectively-is-__________-2025https://smartachievers.online/question-details/let-a6-8-b10-cos-10-sin-and-c10-sin-10-cos-be-the-vertices-of-a-triangle-if-la-9-and-gh-k-be-its-orthocenter-and-centroid-respectively-then-5a-3h-6k-100-in-2-is-equal-to-__________-2025https://smartachievers.online/question-details/let-the-area-of-the-triangle-formed-by-a-straight-line-l-x-by-c-0-with-co-ordinate-axes-be-48-square-units-if-the-perpendicular-drawn-from-the-origin-to-the-line-l-makes-an-angle-of-45-with-the-positive-x-axis-then-the-value-of-is-2025https://smartachievers.online/question-details/a-line-passes-through-the-origin-and-makes-equal-angles-with-the-positive-coordinate-axes-it-intersects-the-lines-and-and-p-0-at-the-points-a-and-b-respectively-if-and-the-foot-of-the-perpendicular-from-the-point-a-on-the-line-is-m-then-is-equal-to-2025https://smartachievers.online/question-details/the-shortest-distance-between-the-curves-y-2-8-x-and-x-2-y-2-12-y-35-0-is-2025https://smartachievers.online/question-details/let-the-equation-xx-212-k-2-have-equal-roots-then-the-distance-of-the-point-from-the-line-3x-4y-5-0-is-2025https://smartachievers.online/question-details/consider-the-lines-being-a-parameter-all-passing-through-a-point-p-one-of-these-lines-say-l-is-farthest-from-the-origin-if-the-distance-of-l-from-the-point-3-6-is-d-then-the-value-of-is-2025https://smartachievers.online/question-details/for-an-integer-if-the-arithmetic-mean-of-all-coefficient-in-the-binomial-expansion-of-is-16-then-the-distance-of-the-point-from-the-line-x-y-8-is-2025https://smartachievers.online/question-details/let-abc-be-the-triangle-such-that-the-equation-of-lines-ab-and-ac-be-3y-x-2-and-x-y-2-respectively-and-the-points-b-and-c-lie-on-x-axis-if-p-is-the-orthocentre-of-the-triangle-abc-then-the-area-of-the-triangle-pbc-is-equal-to-2025https://smartachievers.online/question-details/if-for-3-0-the-points-x-y-3-tan-3-2-tan-3-lie-on-x-y-0-then-2-2-2-is-equal-to-2025https://smartachievers.online/question-details/if-the-orthocenter-of-the-triangle-formed-by-the-lines-y-x-1-y-4x-8-and-y-mx-c-is-at-3-1-then-m-c-is-2025https://smartachievers.online/question-details/a-line-passing-through-the-point-pa-0-makes-an-acute-angle-with-the-positive-x-axis-let-this-line-be-rotated-about-the-point-p-through-an-angle-in-the-clock-wise-direction-if-in-the-new-position-the-slope-of-the-line-is-and-its-distance-from-the-origin-ishttps://smartachievers.online/question-details/let-a-be-the-length-of-a-side-of-a-square-oabc-with-o-being-the-origin-its-side-oa-makes-an-acute-angle-with-the-positive-x-axis-and-the-equations-of-its-diagonals-are-and-then-is-equal-to-2025https://smartachievers.online/question-details/let-the-triangle-pqr-be-the-image-of-the-triangle-with-vertices-1-3-3-1-and-2-4-in-the-line-x-2y-2-if-the-centroid-of-pqr-is-the-point-then-is-equal-to-2025https://smartachievers.online/question-details/a-rod-of-length-eight-units-moves-such-that-its-ends-a-and-b-always-lieon-the-lines-x-y-2-0-and-y-2-0-respectively-if-the-locus-of-the-point-p-that-divides-the-rod-ab-internally-in-the-ration-2-1-is-then-is-equal-to-2025https://smartachievers.online/question-details/let-the-range-of-the-function-be-then-the-distance-of-the-point-from-the-line-3x-4y-12-0-is-2025https://smartachievers.online/question-details/let-the-lines-3x-4y-0-8x-11y-33-0-and-2x-3y-0-be-concurrent-if-the-image-of-the-point-1-2-in-the-line-2x-3y-0-is-then-is-equal-to-2025https://smartachievers.online/question-details/two-equal-sides-of-an-isosceles-triangle-are-along-x-2y-4-and-x-y-4-if-m-is-the-slope-of-its-third-side-then-the-sum-of-all-possible-distinct-values-of-m-is-2025https://smartachievers.online/question-details/let-the-distance-between-two-parallel-lines-be-5-units-and-a-point-p-lie-between-the-lines-at-a-unit-distance-from-one-of-them-an-equilateral-triangle-pqr-is-formed-such-that-q-lies-on-one-of-the-parallel-lines-while-r-lies-on-the-other-then-is-equal-to-_https://smartachievers.online/question-details/if-1-r-1-6-3-r-1-c-2-r-1-12-then-the-distance-of-the-point-12-3-from-the-line-x-3-y-1-0-is-_________-2025https://smartachievers.online/question-details/if-the-four-distinct-points-4-6-1-5-0-0-and-k-3k-lie-on-a-circle-of-radius-r-then-is-equal-to-2025https://smartachievers.online/question-details/let-be-the-circle-in-the-third-quadrant-of-radius-3-that-touches-both-coordinate-axes-let-be-the-circle-with-centre-1-3-that-touches-externally-at-the-point-if-gcd-m-n-1-then-m-n-is-equal-to-2025https://smartachievers.online/question-details/a-circle-c-of-radius-2-lies-in-the-second-quadrant-and-touches-both-the-coordinate-axes-let-r-be-the-radius-of-a-circle-that-has-centre-at-the-poit-2-5-and-intersects-the-circle-c-at-exactly-two-points-if-the-set-of-all-possible-values-of-r-is-the-intervahttps://smartachievers.online/question-details/let-circle-c-be-the-image-of-in-the-line-2x-3y-5-0-and-a-be-the-point-on-c-such-that-oa-is-parallel-to-x-axis-and-a-lies-on-the-right-hand-side-of-the-centre-o-of-c-if-with-lies-on-c-such-that-the-length-of-the-arc-ab-is-of-the-perimeter-of-c-then-is-equahttps://smartachievers.online/question-details/statement-i-photovoltaic-devices-can-convert-optical-radiation-into-electricity-2023https://smartachievers.online/question-details/consider-the-following-statements-a-and-b-and-identify-the-correct-answer-2021-a-a-zener-diode-is-connected-in-reverse-bias-when-used-as-a-voltage-regulator-b-the-potential-barrier-of-pn-junction-lies-between-01-v-to-03-vhttps://smartachievers.online/question-details/an-led-is-constructed-from-a-p-njunction-diode-using-gaasp-the-energy-gap-is-19-ev-the-wavelength-of-the-light-emitted-will-be-equal-to-2019https://smartachievers.online/question-details/the-given-graph-represents-characteristic-for-a-semiconductor-device-which-of-the-following-statement-is-correct-2014https://smartachievers.online/question-details/the-output-y-of-the-given-logic-implementation-is-similar-to-the-output-of-ana-_______-gate-2025https://smartachievers.online/question-details/the-output-y-for-the-inputs-a-and-b-of-the-givenlogic-circuit-is-2024https://smartachievers.online/question-details/when-the-output-of-an-or-gate-is-applied-as-input-toa-not-gate-then-the-combination-acts-as-a-2024https://smartachievers.online/question-details/a-logic-circuit-provides-the-output-y-as-per-thefollowing-truth-table-the-expression-for-the-output-y-is-2024https://smartachievers.online/question-details/the-output-y-of-the-given-logic-gate-is-similar-tothe-output-of-ana-2024https://smartachievers.online/question-details/for-the-following-logic-circuit-the-truth-table-is-2023https://smartachievers.online/question-details/the-truth-table-for-the-given-logic-circuit-is-2022https://smartachievers.online/question-details/for-the-given-circuit-the-input-digital-signals-are-applied-at-the-terminals-a-b-and-c-what-would-be-the-output-at-the-terminal-y-2021https://smartachievers.online/question-details/for-the-logic-circuit-shown-the-truth-table-is-2020https://smartachievers.online/question-details/the-correct-boolean-operation-represented-by-thecircuit-diagram-drawn-is-2019https://smartachievers.online/question-details/in-the-combination-of-the-following-gates-the-outputy-can-be-written-in-terms-of-inputs-a-and-b-as-2018https://smartachievers.online/question-details/the-given-electrical-network-is-equivalent-to-2017https://smartachievers.online/question-details/what-is-the-output-y-in-the-following-circuit-when-allthe-three-inputs-a-b-c-are-first-0-and-then-1-2016https://smartachievers.online/question-details/to-get-output-1-for-the-following-circuit-the-correctchoice-for-the-input-is-2016-2012-2010https://smartachievers.online/question-details/let-the-equation-of-the-circle-which-touches-x-axis-at-the-point-a-0-a-0-and-cuts-off-an-intercept-of-length-b-on-y-axis-be-if-the-circle-lies-below-x-axis-then-the-ordered-pair-is-equal-to-2025https://smartachievers.online/question-details/let-the-line-x-y-1-meet-the-circle-at-the-points-a-and-b-if-the-line-perpendicular-to-ab-and-passing-through-the-mid-point-of-the-chord-ab-intersects-the-circle-at-c-and-d-the-area-of-the-quadrilateral-adbc-is-equal-to-2025https://smartachievers.online/question-details/let-a-circle-c-pass-through-the-points-4-2-and-0-2-and-its-centre-lie-on-3x-2y-2-0-then-the-length-of-the-chord-of-the-circle-c-whose-mid-point-is-1-2-is-2025https://smartachievers.online/question-details/the-absolute-difference-between-the-squares-of-the-radii-of-the-two-circles-passing-through-the-point-9-4-and-touching-the-lines-x-y-3-and-x-y-3-is-equal-to-__________-2025https://smartachievers.online/question-details/let-r-be-the-radius-of-the-circle-which-touches-x-axis-at-point-a-0-a-0-and-the-parabola-at-the-point-4-6then-r-is-equal-to-__________-2025https://smartachievers.online/question-details/let-the-focal-chord-pq-of-the-parabola-make-an-angle-of-60-with-the-positive-x-axis-where-p-lies-in-the-first-quadrant-if-the-circle-whose-one-diameter-is-ps-s-being-the-focus-of-the-parabola-touches-the-y-axis-at-the-point-0-then-is-equal-to-2025https://smartachievers.online/question-details/let-the-point-p-of-the-focal-chord-pq-of-the-parabola-be-1-4-if-the-focus-of-the-parabola-divides-the-chord-pq-in-the-ration-m-n-gcdm-n-1-then-is-equal-to-2025https://smartachievers.online/question-details/the-radius-of-the-smallest-circle-which-touches-the-parabolas-y-x-2-2-and-x-y-2-2-is-2025https://smartachievers.online/question-details/the-axis-of-a-parabola-is-the-line-y-x-and-its-vertex-and-focus-are-in-the-first-quadrant-at-distances-and-units-from-the-origin-respectively-if-the-point-1-k-lies-on-the-parabola-then-a-possible-value-of-k-is-2025https://smartachievers.online/question-details/let-p-be-the-parabola-whose-focus-is-2-1-and-directrix-is-2x-y-2-0-then-the-sum-of-the-ordinates-of-the-points-on-p-whose-abscissa-is-2-is-2025https://smartachievers.online/question-details/let-the-parabola-meet-the-coordinate-axes-at-the-points-p-q-and-r-if-the-circle-c-with-centre-at-1-1-passes-through-the-points-p-q-and-r-then-the-area-of-pqr-is-2025https://smartachievers.online/question-details/let-be-a-point-on-the-parabola-and-pq-be-a-focal-chord-of-the-parabola-if-m-and-n-are-the-foot-of-perpendiculars-drawn-from-p-and-q-respectively-on-the-directrix-of-the-parabola-then-the-area-of-the-quadrilateral-pqmn-is-equal-to-2025https://smartachievers.online/question-details/if-the-line-3x-2y-12-0-intersects-the-parabola-at-the-points-a-and-b-then-at-the-vertex-of-the-parabola-the-line-segment-ab-subtends-and-angle-equal-to-2025https://smartachievers.online/question-details/let-the-shortest-distance-from-a-0-a-0-to-the-parabola-be-4-then-the-equation-of-the-circle-passing-through-the-point-a-0-and-the-focus-of-the-parabola-and-having-its-centre-on-the-axis-of-the-parabola-is-2025https://smartachievers.online/question-details/if-the-equation-of-the-parabola-with-vertex-and-the-directrix-x-2y-0-is-then-i-equal-to-2025https://smartachievers.online/question-details/let-abcd-be-a-trapezium-whose-vertices-lie-on-the-parabola-let-the-sides-ad-and-bc-of-the-trapezium-be-parallel-to-y-axis-if-the-diagonal-ac-is-of-length-and-it-passes-through-the-point-1-0-then-the-area-of-abcd-is-2025https://smartachievers.online/question-details/two-parabolas-have-the-same-focus-4-3-and-their-directrices-are-the-x-axis-and-the-y-axis-respectively-if-these-parabolas-intersects-at-the-points-a-and-b-then-is-equal-to-2025https://smartachievers.online/question-details/the-focus-of-the-parabola-is-the-centre-of-the-circle-c-of-radius-5-if-the-values-of-for-which-c-passes-through-the-point-of-intersection-of-the-lines-3x-y-0-and-x-y-4-are-and-then-is-equal-to-__________-2025https://smartachievers.online/question-details/let-a-and-b-be-the-two-points-of-intersection-of-the-line-y-5-0-and-the-mirror-image-of-the-parabola-with-respect-to-the-line-x-y-4-0-if-d-denotes-the-distance-between-a-and-b-and-a-denotes-the-area-of-sab-where-s-is-the-focus-of-the-parabola-then-the-valhttps://smartachievers.online/question-details/let-be-the-parabola-and-s-be-its-focus-let-pq-be-a-focal-chord-of-the-parabola-such-that-spsq-let-c-be-the-circle-described-taking-pq-as-a-diameter-if-the-equation-of-a-circle-c-is-then-is-equal-to-__________-2025https://smartachievers.online/question-details/if-s-and-are-the-foci-of-the-ellipse-and-p-be-a-point-on-the-ellipse-then-is-equal-to-2025https://smartachievers.online/question-details/if-the-length-of-the-minor-axis-of-an-ellipse-is-equal-to-one-fourth-of-the-distance-between-the-foci-then-the-eccentricity-of-the-ellipse-is-2025https://smartachievers.online/question-details/a-line-passing-through-the-point-intersects-the-ellipse-at-a-and-b-such-that-papb-is-maximum-then-is-equal-to-2025https://smartachievers.online/question-details/let-c-be-the-circle-of-minimum-area-enclosing-the-ellipse-with-eccentricity-and-foci-let-pqr-be-a-variable-triangle-whose-vertex-p-is-on-the-circle-c-and-the-side-qr-of-length-2a-is-parallel-to-the-major-axis-of-e-and-contains-the-point-of-intersection-ofhttps://smartachievers.online/question-details/the-length-of-the-latus-rectum-of-the-ellipse-whose-foci-are-2-5-and-2-3-and-eccentricity-is-is-2025https://smartachievers.online/question-details/the-centre-of-a-circle-c-is-at-the-centre-of-the-ellipse-a-b-let-c-pass-through-the-foci-and-of-e-such-that-the-circle-c-and-the-ellipse-e-intersect-at-four-points-let-p-be-one-of-these-four-points-if-the-area-of-the-triangle-is-30-and-the-length-of-the-mhttps://smartachievers.online/question-details/let-for-two-distinct-values-of-p-the-lines-y-x-p-touch-the-ellipse-at-the-points-a-and-b-let-the-line-y-x-intersect-e-at-the-points-c-and-d-then-the-area-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osityiii-dgravitational-constantiv-choose-the-correct-answer-from-the-options-given-below-2025https://smartachievers.online/question-details/the-equation-for-real-gas-is-given-by-where-p-v-t-and-r-are-the-pressure-volume-temperature-and-gas-constant-respectively-the-dimension-of-is-equivalent-to-that-of-2025https://smartachievers.online/question-details/match-list-i-with-list-ii-list-i-list-ii-acoefficient-of-viscosityi-bintensity-of-waveii-cpressure-gradientiii-dcompressibilityiv-choose-the-correct-answer-from-the-options-given-below-2025https://smartachievers.online/question-details/given-a-charge-q-current-i-and-permeability-of-vacuum-which-of-the-following-quantity-has-the-dimension-of-momentum-2025https://smartachievers.online/question-details/if-and-are-the-permeability-and-permittivity-of-free-space-respectively-then-the-dimension-of-is-2025https://smartachievers.online/question-details/match-the-list-i-with-list-ii-list-i-list-ii-agravitational-constanti-bgravitational-potential-energyii-cgravitational-potentialiii-dacceleration-due-to-gravityiv-choose-the-correct-answer-from-the-options-given-below-2025https://smartachievers.online/question-details/match-the-list-i-with-list-ii-list-i-list-ii-aboltzmann-constanti-bcoefficient-of-viscosityii-cplancks-constantiii-dthermal-conductivityiv-choose-the-correct-answer-from-the-options-given-below-2025https://smartachievers.online/question-details/in-an-electromagnetic-system-the-quantity-representing-the-ratio-of-electric-flux-and-magnetic-flux-has-dimension-of-where-value-of-q-and-r-are-2025https://smartachievers.online/question-details/in-an-electromagnetic-system-a-quantity-defined-as-the-ratio-of-electric-dipole-moment-and-magnetic-dipole-moment-has-dimension-of-the-value-of-p-and-q-are-2025https://smartachievers.online/question-details/the-dimension-of-is-equal-to-that-of-vacuum-permeability-and-vacuum-permittivity-2025https://smartachievers.online/question-details/match-the-list-i-with-list-ii-list-i-list-ii-amass-densityi-bimpulseii-cpoweriii-dmoment-of-inertiaiv-choose-the-correct-answer-from-the-options-given-below-2025https://smartachievers.online/question-details/the-pair-of-electrons-in-the-given-carbanionis-present-in-which-of-the-following-orbitals-2016https://smartachievers.online/question-details/in-the-reaction-x-and-y-are-hydrocarbon-2016https://smartachievers.online/question-details/which-of-the-following-organic-compounds-has-same-hybridization-as-its-combustion-product-2014https://smartachievers.online/question-details/which-one-of-the-following-reactions-does-not-give-benzene-as-the-product-2025https://smartachievers.online/question-details/consider-the-following-compoundsspecies-image-146-the-number-of-compoundsspecies-which-obey-huckels-rule-is-_______-2023https://smartachievers.online/question-details/which-compound-amongst-the-following-is-not-an-aromatic-compound-2022https://smartachievers.online/question-details/among-the-following-the-reaction-that-proceeds-through-an-electrophilic-substitution-is-2019https://smartachievers.online/question-details/which-of-the-following-can-be-used-as-the-halide-component-for-friedelcrafts-reaction-2016https://smartachievers.online/question-details/in-which-of-the-following-molecules-all-atoms-are-coplanar-2016https://smartachievers.online/question-details/in-pyrrole-the-electron-density-is-maximum-on-2016https://smartachievers.online/question-details/in-the-given-reactionthe-product-p-is-hydrocarbons-2016https://smartachievers.online/question-details/consider-the-nitration-of-benzene-using-mixed-conc-and-if-a-large-amount-of-is-added-to-the-mixture-the-rate-of-nitration-will-be-2016https://smartachievers.online/question-details/the-oxidation-of-benzene-by-v2o5in-the-presence-of-air-produces-2015https://smartachievers.online/question-details/what-products-are-formed-when-the-following-compound-is-treated-with-in-the-presence-of-2014https://smartachievers.online/question-details/in-a-measurement-it-is-asked-to-find-modulus-of-elasticity-per-unit-torque-applied-on-the-system-the-measured-quantity-has-dimension-of-if-b-3-the-value-of-c-is-__________-2025https://smartachievers.online/question-details/for-an-experimental-expression-where-all-the-digits-are-significant-then-to-report-the-value-of-ywe-should-write-2025https://smartachievers.online/question-details/a-person-measures-mass-of-3-different-particles-as-43542-g-2263-g-and-0125-g-according-to-the-rules-for-arithmetic-operations-with-significant-figures-the-additions-of-the-masses-of-3-particles-will-be-2025https://smartachievers.online/question-details/the-maximum-percentage-error-in-the-measurement-of-density-of-a-wire-is-given-mass-of-wire-060-0003-g-radius-of-wire-050-001-g-length-of-wire-1000-005-cm-2025https://smartachievers.online/question-details/the-energy-of-a-system-is-given-as-where-t-is-the-time-and-the-error-in-the-measurement-of-and-t-are-12-and-16-respectively-at-t-5-s-maximum-percentage-error-in-the-energy-is-2025https://smar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in-carbohydrate-and-fat-componehttps://smartachievers.online/question-details/plant-transport-systems-transportshttps://smartachievers.online/question-details/the-loss-of-water-in-the-form-of-vapour-fhttps://smartachievers.online/question-details/tissues-responsible-for-movemenhttps://smartachievers.online/question-details/phloem-tissues-transporthttps://smartachievers.online/question-details/does-not-involve-the-use-of-energyhttps://smartachievers.online/question-details/in-humans-chemical-digestion-is-accomplished-byhttps://smartachievers.online/question-details/an-organic-compound-weighing-500-mg-produced-220-mg-of-on-complete-combustion-the-percentage-composition-of-carbon-in-the-compound-is-nearest-integer-given-molar-mass-in-g-of-c-12-o-16-2025https://smartachievers.online/question-details/correct-order-for-process-of-nutritionhttps://smartachievers.online/question-details/which-organ-does-the-first-digestionhttps://smartachievers.online/question-details/onverts-starch-to-glucose-proteins-to-aminohttps://smartachievers.online/question-details/bile-juice-does-not-contain-anyhttps://smartachievers.online/question-details/butane-reacts-with-oxygen-to-produce-carbon-dioxide-and-water-following-the-equation-given-below-if-1740-kg-of-butane-is-mixed-with-3200-kg-of-the-volume-of-water-formed-in-litres-is-_____-nearest-integer-given-a-molar-mass-of-c-h-o-are-12-1-16-g-respectihttps://smartachievers.online/question-details/the-energy-released-during-cellular-respirationhttps://smartachievers.online/question-details/the-ultimate-breakdown-products-ofhttps://smartachievers.online/question-details/the-following-statements-is-not-truehttps://smartachievers.online/question-details/air-passages-within-the-lungs-terminate-ihttps://smartachievers.online/question-details/20-ml-of-sodium-iodide-solution-gave-474-g-silver-iodide-when-treated-with-excess-of-silver-nitrate-solution-the-molarity-of-the-sodium-iodide-solution-is-_____-m-nearest-integer-value-given-na-23-127-ag-108-n-14-o-16-g-2025https://smartachievers.online/question-details/function-of-rings-of-cartilage-present-in-ourhttps://smartachievers.online/question-details/x-g-of-nitrobenzene-on-nitration-gave-42-g-of-m-dinitrobenzene-x-______-g-nearest-integer-given-molar-mass-in-g-c-12-h-1-o-16-n-14-2025https://smartachievers.online/question-details/blood-that-is-brought-back-to-the-hearthttps://smartachievers.online/question-details/some-gas-was-kept-in-a-sealed-container-at-a-pressure-of-1-atm-and-at-273-k-this-entire-amount-of-gas-was-later-passed-through-an-aqueous-solution-of-the-excess-unreacted-was-later-neutralised-with-01-m-of-40-ml-hcl-if-the-volume-of-the-sealed-container-ohttps://smartachievers.online/question-details/the-two-atria-or-ventricles-has-thicker-muscular-wallshttps://smartachievers.online/question-details/blood-is-pumped-out-to-the-body-whenhttps://smartachievers.online/question-details/given-below-is-not-true1https://smartachievers.online/question-details/force-that-blood-exerts-against-the-wall-ofhttps://smartachievers.online/question-details/density-of-3-m-nacl-solution-is-125-gml-the-molality-of-the-solution-is-2025https://smartachievers.online/question-details/concentrated-nitric-acid-is-labelled-as-75-by-mass-the-volume-in-ml-of-the-solution-which-contains-30-g-of-nitric-acid-is-______-given-density-of-nitric-acid-solution-is-125-gml-2025https://smartachievers.online/question-details/the-molarity-of-a-70-massmass-aqueous-solution-of-a-monobasic-acid-x-is-_____-m-nearest-integer-given-density-of-aqueous-solution-of-x-is-125-g-molar-mass-of-the-acid-is-70-g-2025https://smartachievers.online/question-details/which-of-the-following-statements-are-correct-if-the-threshold-frequency-of-caesium-ishz-2025https://smartachievers.online/question-details/radius-of-the-first-excited-state-of-helium-ion-is-given-as-radius-of-first-stationary-state-of-hydrogen-atom-2025https://smartachievers.online/question-details/for-hydrogen-like-species-which-of-the-following-graphs-provides-the-most-appropriate-representation-of-e-vs-z-plot-for-a-constant-eenergyofthestationarystatez-atomicnumber-principalquantumnumber-2025https://smartachievers.online/question-details/a-particle-is-subjected-two-simple-harmonic-motions-as-where-x-is-displacement-and-t-is-time-in-seconds-the-maximum-acceleration-of-the-particle-is-the-value-of-x-is-2025https://smartachievers.online/question-details/according-to-bohrs-model-of-hydrogen-atom-which-of-the-following-statement-is-incorrect-2025https://smartachievers.online/question-details/a-long-straight-wire-of-a-circular-cross-section-with-radius-a-carries-a-steady-currenti-the-current-is-uniformly-distriuted-across-this-cross-section-the-plot-of-magnitude-of-magnetic-field-b-with-distance-r-from-the-centre-of-the-wire-is-given-by-2025https://smartachievers.online/question-details/the-energy-of-an-electron-in-first-bohr-orbit-of-h-atom-is-136-ev-the-magnitude-of-energy-value-of-electron-in-the-first-excited-state-of-is-______-e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out-the-correct-dimensions-of-a-and-b-in-a-new-equation-the-dimensions-of-t-is-given-as-2023https://smartachievers.online/question-details/let-r-be-the-rectangle-given-by-the-lines-x-0-x-2-y-0-and-y-5-let-a-0-and-b-0-0-2-and-0-5-be-such-that-the-line-segment-ab-divides-the-area-of-the-rectangle-r-in-the-ratio-4-1-then-the-midpoint-of-ab-lies-on-a-2023https://smartachievers.online/question-details/match-list-i-with-list-ii-list-i-list-ii-atorquei-benergy-densityii-cpressure-gradientiii-dimpulseiv-choose-the-correct-answer-from-the-options-given-below-2023https://smartachievers.online/question-details/if-the-point-7-3-3-lies-on-the-curve-traced-by-the-mid-points-of-the-line-segments-of-the-lines-x-cos-y-sin-7-0-2-between-the-coordinate-axes-then-is-equal-to-2023https://smartachievers.online/question-details/the-straight-lines-l-1-and-l-2-pass-through-the-origin-and-trisect-the-line-segment-of-the-line-l-9-x-5-y-45-between-the-axes-if-m-1-and-m-2-are-the-slopes-of-the-lines-l-1-and-l-2-then-the-point-of-intersection-of-the-line-y-m-1-m-2-x-with-l-lies-on-2023https://smartachievers.online/question-details/match-list-i-with-list-ii-list-i-list-ii-aangular-momentumi-btorqueii-cstressiii-dpressure-gradientiv-choose-the-correct-answer-from-the-options-given-below-2023https://smartachievers.online/question-details/let-be-the-centroid-of-the-triangle-formed-by-the-lines-15-x-y-82-6-x-5-y-4-and-9-x-4-y-17-then-2-and-2-are-the-roots-of-the-equation-2023https://smartachievers.online/question-details/represents-the-equation-of-state-of-some-gases-where-p-is-the-pressure-v-is-the-volume-t-is-the-temperature-and-a-b-r-are-the-constants-the-physical-quantity-which-has-dimensional-formula-as-that-of-will-be-2023https://smartachievers.online/question-details/if-is-the-orthocenter-of-the-triangle-abc-with-vertices-a-3-7-b-1-2-and-c-4-5-then-9-6-60-is-equal-to-2023https://smartachievers.online/question-details/if-the-velocity-of-light-c-universal-gravitational-constant-g-and-plancks-constant-h-are-chosen-as-fundamental-quantities-the-dimensions-of-mass-in-the-new-system-is-2023https://smartachievers.online/question-details/the-combined-equation-of-the-two-lines-a-x-b-y-c-0-and-a-x-b-y-c-0-can-be-written-as-a-x-b-y-c-a-x-b-y-c-0-the-equation-of-the-angle-bisectors-of-the-lines-represented-by-the-equation-2-x-2-x-y-3-y-2-0-is-2023https://smartachievers.online/question-details/a-light-ray-emits-from-the-origin-making-an-angle-30-with-the-positive-x-axis-after-getting-reflected-by-the-line-x-y-1-if-this-ray-intersects-the-x-axis-at-q-then-the-abscissa-of-q-is-2023https://smartachievers.online/question-details/let-b-and-c-be-the-two-points-on-the-line-y-x-0-such-that-b-and-c-are-symmetric-with-respect-to-the-origin-suppose-a-is-a-point-on-y-2-x-2-such-that-a-b-c-is-an-equilateral-triangle-then-the-area-of-a-b-c-is-2023https://smartachievers.online/question-details/a-straight-line-cuts-off-the-intercepts-oa-a-and-ob-b-on-the-positive-directions-of-the-x-axis-and-y-axis-respectively-if-the-perpendicular-from-origin-o-to-this-line-makes-an-angle-of-6-with-the-positive-direction-of-the-y-axis-and-the-area-of-o-a-b-is-9https://smartachievers.online/question-details/let-the-equations-of-two-adjacent-sides-of-a-parallelogram-abcd-be-2-x-3-y-23-and-5-x-4-y-23-if-the-equation-of-its-one-diagonal-ac-is-3-x-7-y-23-and-the-distance-of-a-from-the-other-diagonal-is-d-then-50-d-2-is-equal-to-________-2023https://smartachievers.online/question-details/if-the-line-l-1-3-y-2-x-3-is-the-angular-bisector-of-the-lines-l-2-x-y-1-0-and-l-3-x-y-17-0-then-2-2-is-equal-to-______-2023https://smartachievers.online/question-details/the-equations-of-the-sides-ab-bc-and-ca-of-a-triangle-abc-are-2-x-y-0-x-p-y-21-a-a-0-and-x-y-3-respectively-let-p-2-a-be-the-centroid-of-a-b-c-then-b-c-2-is-equal-to-_______-2023https://smartachievers.online/question-details/a-triangle-is-formed-by-the-x-axis-y-axis-and-the-line-3-x-4-y-60-then-the-number-of-points-p-a-b-which-lie-strictly-inside-the-triangle-where-a-is-an-integer-and-b-is-a-multiple-of-a-is-______-2023https://smartachievers.online/question-details/a-triangle-is-formed-by-the-tangents-at-the-point-2-2-on-the-curves-y-2-2-x-and-x-2-y-2-4-x-and-the-line-x-y-2-0-if-r-is-the-radius-of-its-circumcircle-then-r-2-is-equal-to-__________-2023https://smartachievers.online/question-details/if-the-tangents-at-the-point-p-and-q-on-the-circle-x-2-y-2-2-x-y-5-meet-at-the-point-r-9-4-2-then-the-area-of-the-triangle-pqr-is-2023https://smartachievers.online/question-details/let-o-be-the-origin-and-op-and-oq-be-the-tangents-to-the-circle-x-2-y-2-6-x-4-y-8-0-at-the-points-p-and-q-on-it-if-the-circumcircle-of-the-triangle-opq-passes-through-the-point-1-2-then-a-value-of-is-2023https://smartachievers.online/question-details/a-line-segment-ab-of-length-moves-such-that-the-points-a-and-b-remain-on-the-periphery-of-a-circle-of-radius-then-the-locus-of-the-point-that-divides-the-line-segment-ab-in-the-ratio-2-3-is-a-circle-of-radius-2023https://smartachievers.online/question-details/let-a-be-the-point-1-2-and-b-be-any-point-on-the-curve-x-2-y-2-16-if-the-centre-of-the-locus-of-the-point-p-which-divides-the-line-segment-ab-in-the-ratio-3-2-is-the-point-c-then-the-length-of-the-line-segment-ac-is-2023https://smartachievers.online/question-details/let-the-centre-of-a-circle-c-be-and-its-radius-r-8-let-3-x-4-y-24-and-3-x-4-y-32-be-two-tangents-and-4-x-3-y-1-be-a-normal-to-c-then-is-equal-to-2023https://smartachievers.online/question-details/the-number-of-common-tangents-to-the-circles-x-2-y-2-18-x-15-y-131-0-and-x-2-y-2-6-x-6-y-7-0-is-2023https://smartachievers.online/question-details/the-area-enclosed-by-the-closed-curve-c-given-by-the-differential-equation-d-y-d-x-x-a-y-2-0-y-1-0-is-4-let-p-and-q-be-the-points-of-intersection-of-the-curve-c-and-the-y-axis-if-normals-at-p-and-q-on-the-curve-c-intersect-the-x-axis-at-points-r-and-s-reshttps://smartachievers.online/question-details/if-r-and-represent-resistance-inductive-reactance-and-capacitive-reactance-then-which-of-the-following-in-dimensionless-2023https://smartachievers.online/question-details/the-locus-of-the-mid-points-of-the-chords-of-the-circle-c-1-x-4-2-y-5-2-4-which-subtend-an-angle-i-at-the-centre-of-the-circle-c-1-is-a-circle-of-radius-r-i-if-1-3-3-2-3-and-r-1-2-r-2-2-r-3-2-then-2-is-equal-to-2023https://smartachievers.online/question-details/match-list-i-with-list-ii-liast-i-list-ii-aplancks-constant-hi-bstopping-potential-ii-cwork-function-iii-dmomentum-piv-choose-the-correct-answer-from-the-options-given-below-2023https://smartachievers.online/question-details/dimension-of-should-be-equal-to-2023https://smartachievers.online/question-details/the-points-of-intersection-of-the-line-a-x-b-y-0-a-b-and-the-circle-x-2-y-2-2-x-0-are-a-0-and-b-1-the-image-of-the-circle-with-a-b-as-a-diameter-in-the-line-x-y-2-0-is-2023https://smartachievers.online/question-details/match-list-i-with-list-ii-list-i-list-ii-atorquei-bstressii-cpressure-gradientiii-dcoefficient-of-viscosityiv-choose-the-correct-answer-from-the-options-given-below-2023https://smartachievers.online/question-details/let-the-tangents-at-the-points-a-4-11-and-b-8-5-on-the-circle-x-2-y-2-3-x-10-y-15-0-intersect-at-the-point-c-then-the-radius-of-the-circle-whose-centre-is-c-and-the-line-joining-a-and-b-is-its-tangent-is-equal-to-2023https://smartachievers.online/question-details/if-force-f-velocity-v-and-time-t-are-considered-as-fundamental-physical-quantity-then-dimensional-formula-of-density-will-be-2023https://smartachievers.online/question-details/let-y-x-2-4-y-3-x-6-and-3-y-4-x-1-be-three-tangent-lines-to-the-circle-x-h-2-y-k-2-r-2-then-h-k-is-equal-to-2023https://smartachievers.online/question-details/match-list-i-with-list-ii-list-i-list-ii-aspring-constanti-bangular-speedii-cangular-momentumiii-dmoment-of-inertiaiv-choose-the-correct-answer-from-the-options-given-below-2023https://smartachievers.online/question-details/let-a-circle-c-1-be-obtained-on-rolling-the-circle-x-2-y-2-4-x-6-y-11-0-upwards-4-units-on-the-tangent-t-to-it-at-the-point-3-2-let-c-2-be-the-image-of-c-1-in-t-let-a-and-b-be-the-centers-of-circles-c-1-and-c-2-respectively-and-m-and-n-be-respectively-thehttps://smartachievers.online/question-details/the-set-of-all-values-of-a-2-for-which-the-line-x-y-0-bisects-two-distinct-chords-drawn-from-a-point-p-1-a-2-1-a-2-on-the-circle-2-x-2-2-y-2-1-a-x-1-a-y-0-is-equal-to-2023https://smartachievers.online/question-details/let-the-point-p-p-1-lie-inside-the-region-e-x-y-3-x-y-9-x-2-0-x-3-if-the-set-of-all-values-of-p-is-the-interval-a-b-then-b-2-b-a-2-is-equal-to-_____-2023https://smartachievers.online/question-details/in-the-equation-x-is-pressure-y-is-volume-r-is-universal-gas-constant-and-t-is-temperature-the-physical-quantity-a-equivalent-to-the-ratio-is-2023https://smartachievers.online/question-details/the-speed-of-a-wave-produced-in-water-is-given-by-when-g-and-are-wavelength-of-wave-acceleration-due-to-gravity-and-density-of-water-respectively-the-values-of-a-b-and-c-respectively-are-2023https://smartachievers.online/question-details/two-resistances-are-given-as-and-the-percentage-error-in-the-measurement-of-equivalent-resistance-when-they-are-connected-in-parallel-is-2023https://smartachievers.online/question-details/a-2-meter-long-scale-with-least-count-of-02-cm-is-used-to-measure-trhe-locations-of-objects-on-an-optical-bench-while-measuring-the-focal-length-of-a-convex-lens-the-object-pin-and-the-convex-lens-are-placed-at-80-cm-mark-and-1-m-mark-respectively-the-imahttps://smartachievers.online/question-details/a-cylindrical-wire-of-mass-04-001-g-has-length-8-004-cm-and-radius-6-003-cm-the-maximum-error-in-its-density-will-be-2023https://smartachievers.online/question-details/a-physical-quantity-p-is-given-as-the-percentage-error-in-the-measurement-of-a-b-c-and-d-are-1-2-3-and-4-respectively-the-percentage-error-in-the-measurement-of-quantity-p-will-be-2023https://smartachievers.online/question-details/a-body-of-mass-5-05-kg-is-moving-with-a-velocity-of-20-04-ms-its-kinetic-energy-will-be-2023https://smartachievers.online/question-details/a-vector-in-x-y-plane-makes-an-angle-of-30-with-y-axis-the-magnitude-of-y-component-of-vector-is-the-magnitude-of-x-component-of-the-vector-will-be-2023https://smartachievers.online/question-details/two-forces-having-magnitude-a-and-are-perpendicular-to-each-other-the-magnitude-of-their-resultant-is-2023https://smartachievers.online/question-details/if-two-vectors-and-are-perpendicular-to-each-other-then-the-value-of-m-will-be-2023https://smartachievers.online/question-details/vectors-and-are-perpendicular-to-each-other-when-3a-2b-7-the-ratio-of-a-to-b-is-the-value-of-x-is-________-2023https://smartachievers.online/question-details/if-and-then-the-unit-vector-in-the-direction-of-is-the-value-of-x-is-________-2023https://smartachievers.online/question-details/a-circle-passing-through-the-point-p-in-the-first-quadrant-touches-the-two-coordinate-axes-at-the-points-a-and-b-the-point-p-is-above-the-line-ab-the-point-q-on-the-line-segment-ab-is-the-foot-of-perpendicular-from-p-on-ab-if-pq-is-equal-to-11-units-thenhttps://smartachievers.online/question-details/consider-a-circle-c-1-x-2-y-2-4-x-2-y-5-let-its-mirror-image-in-the-line-y-2-x-1-be-another-circle-c-2-5-x-2-5-y-2-10-f-x-10-g-y-36-0-let-r-be-the-radius-of-c-2-then-is-equal-to-_______-2023https://smartachievers.online/question-details/two-circles-in-the-first-quadrant-of-radii-and-touch-the-coordinate-axeseach-of-them-cuts-off-an-intercept-of-2units-with-the-line-then-is-equal-to-_______-2023https://smartachievers.online/question-details/points-p-3-2-q9-10-and-r-4-lie-on-a-circle-c-with-pr-as-its-diameter-the-tangents-to-c-at-the-points-q-and-r-intersect-at-the-point-s-if-s-lies-on-the-line-2-x-k-y-1-then-k-is-equal-to-______-2023https://smartachievers.online/question-details/a-circle-with-centre-2-3-and-radius-4-intersects-the-line-x-y-3-at-the-points-p-and-q-if-the-tangents-at-p-and-q-intersect-at-the-point-s-then-4-7-is-equal-to-______-2023https://smartachievers.online/question-details/let-p-a-1-b-1-and-q-a-2-b-2-be-two-distinct-points-on-a-circle-with-center-c-2-3-let-o-be-the-origin-and-oc-be-perpendicular-to-both-cp-and-cq-if-the-area-of-the-triangle-ocp-is-35-2-then-a-1-2-a-2-2-b-1-2-b-2-2-is-equal-to-________-2023https://smartachievers.online/question-details/let-r-be-the-focus-of-the-parabola-y-2-20-x-and-the-line-y-m-x-c-intersect-the-parabola-at-two-points-p-and-q-let-the-point-g1010-be-the-centroid-of-the-triangle-pqr-if-c-m-6-then-p-q-2-is-2023https://smartachievers.online/question-details/let-a0-1-b1-1-and-c1-0-be-the-mid-points-of-the-sides-of-a-triangle-with-incentre-at-the-point-d-if-the-focus-of-the-parabola-y-2-4-a-x-passing-through-d-is-2-0-where-and-are-rational-numbers-then-2-is-equal-to-2023https://smartachievers.online/question-details/let-pq-be-a-focal-chord-of-the-parabola-y-2-36-x-of-length-100-making-an-acute-angle-with-the-positive-x-axis-let-the-ordinate-of-p-be-positive-and-m-be-the-point-on-the-line-segment-pq-such-that-pm-mq-3-1-then-which-of-the-following-points-does-not-lie-ohttps://smartachievers.online/question-details/let-a-tangent-to-the-curve-y-2-24-x-meet-the-curve-x-y-2-at-the-points-a-and-b-then-the-mid-points-of-such-line-segments-ab-lie-on-a-parabola-with-the-2023https://smartachievers.online/question-details/the-equations-of-the-sides-ab-and-ac-of-a-triangle-abc-are-1-x-y-4-and-x-1-y-0-respectively-its-vertex-a-is-on-the-y-axis-and-its-orthocentre-is-1-2-the-length-of-the-tangent-from-the-point-c-to-the-parabola-y-2-6-x-in-the-first-quadrant-is-2023https://smartachievers.online/question-details/the-equations-of-two-sides-of-a-variable-triangle-are-x-0-and-y-3-and-its-third-side-is-a-tangent-to-the-parabola-y-2-6-x-the-locus-of-its-circumcentre-is-2023https://smartachievers.online/question-details/if-the-tangent-at-a-point-p-on-the-parabola-y-2-3-x-is-parallel-to-the-line-x-2-y-1-and-the-tangents-at-the-points-q-and-r-on-the-ellipse-x-2-4-y-2-1-1-are-perpendicular-to-the-line-x-y-2-then-the-area-of-the-triangle-pqr-is-2023https://smartachievers.online/question-details/if-p-h-k-is-a-point-on-the-parabola-x-4-y-2-which-is-nearest-to-the-point-q0-33-then-the-distance-of-p-from-the-directrix-of-the-parabola-y-2-4-x-y-is-equal-to-2023https://smartachievers.online/question-details/the-parabolas-a-x-2-2-b-x-c-y-0-and-d-x-2-2-e-x-f-y-0-intersect-on-the-line-y-1-if-a-b-c-d-e-f-are-positive-real-numbers-and-a-b-c-are-in-gp-then-2023https://smartachievers.online/question-details/let-a-be-a-point-on-the-x-axis-common-tangents-are-drawn-from-a-to-the-curves-x-2-y-2-8-and-y-2-16-x-if-one-of-these-tangents-touches-the-two-curves-at-q-and-r-then-q-r-2-is-equal-to-2023https://smartachievers.online/question-details/let-y-f-x-represent-a-parabola-with-focus-1-2-0-and-directrix-y-1-2-then-s-x-tan-1-f-x-sin-1-f-x-1-2-2023https://smartachievers.online/question-details/let-the-tangent-to-the-curve-x-2-2-x-4-y-9-0-at-the-point-p1-3-on-it-meet-the-y-axis-at-a-let-the-line-passing-through-p-and-parallel-to-the-line-x-3-y-6-meet-the-parabola-y-2-4-x-at-b-if-b-lies-on-the-line-2-x-3-y-8-then-a-b-2-is-equal-to-________-2023https://smartachievers.online/question-details/the-ordinates-of-the-points-p-and-q-on-the-parabola-with-focus-3-0-and-directrix-are-in-the-ratio-3-1-if-is-the-point-of-intersection-of-the-tangents-to-the-parabola-at-p-and-q-then-is-equal-to-_______-2023https://smartachievers.online/question-details/let-a-common-tangent-to-the-curves-y-2-4-x-and-x-4-2-y-2-16-touch-the-curves-at-the-points-p-and-q-then-p-q-2-is-equal-to-_________-2023https://smartachievers.online/question-details/if-the-x-intercept-of-a-focal-chord-of-the-parabola-y-2-8-x-4-y-4-is-3-then-the-length-of-this-chord-is-equal-to-_______-2023https://smartachievers.online/question-details/let-s-be-the-set-of-all-a-n-such-that-the-area-of-the-triangle-formed-by-the-tangent-at-the-point-p-b-c-b-c-on-the-parabola-y-2-2-a-x-and-the-lines-x-b-y-0-is-16-unit-2-then-a-s-a-is-equal-to-_________-2023https://smartachievers.online/question-details/in-a-group-of-100-persons-75-speak-english-and-40-speak-hindieach-person-speaks-at-least-one-of-the-two-languages-if-the-number-ofpersons-who-speak-only-english-is-and-the-number-of-persons-whospeak-only-hindi-is-then-the-eccentricity-of-the-ellipseis-202https://smartachievers.online/question-details/let-the-ellipse-intersect-the-positive-and-axes-at-the-points-aand-brespectively-let-the-major-axisof-ebe-a-diameter-of-the-circle-c-let-the-line-passing-through-aandbmeet-the-circle-cat-the-point-p-if-the-area-of-the-triangle-withvertices-a-pand-the-orighttps://smartachievers.online/question-details/let-a-circle-of-radius-4-be-concentric-to-the-ellipse-15-x-2-19-y-2-285-then-the-common-tangents-are-inclined-to-the-minor-axis-of-the-ellipse-at-the-angle-2023https://smartachievers.online/question-details/consider-ellipses-e-k-k-x-2-k-2-y-2-1-k-1-2-20-let-c-k-be-the-circle-which-touches-the-four-chords-joining-the-end-points-one-on-minor-axis-and-another-on-major-axis-of-the-ellipse-e-k-if-r-k-is-the-radius-of-the-circle-c-k-then-the-value-of-k-1-20-1-r-khttps://smartachievers.online/question-details/if-the-radius-of-the-largest-circle-with-centre-2-0-inscribed-in-the-ellipse-x-2-4-y-2-36-is-r-then-12-r-2-is-equal-to-2023https://smartachievers.online/question-details/let-p-2-3-7-6-7-q-r-and-s-be-four-points-on-the-ellipse-9-x-2-4-y-2-36-let-pq-and-rs-be-mutually-perpendicular-and-pass-through-the-origin-if-1-p-q-2-1-r-s-2-p-q-where-p-and-q-are-coprime-then-p-q-is-equal-to-2023https://smartachievers.online/question-details/let-the-tangent-and-normal-at-the-point-3-3-1-on-the-ellipse-x-2-36-y-2-4-1-meet-the-y-axis-at-the-points-a-and-b-respectively-let-the-circle-c-be-drawn-taking-ab-as-a-diameter-and-the-line-x-2-5-intersect-c-at-the-points-p-and-q-if-the-tangents-at-the-pohttps://smartachievers.online/question-details/name-the-property-which-can-be-used-to-find-out-the-length-of-the-building-phttps://smartachievers.online/question-details/if-the-maximum-distance-of-normal-to-the-ellipse-x-2-4-y-2-b-2-1-b-2-from-the-origin-is-1-then-the-eccentricity-of-the-ellipse-is-2023https://smartachievers.online/question-details/let-an-ellipse-with-centre-1-0-and-latus-rectum-of-length-have-its-major-axis-along-the-axis-if-its-minor-axis-subtends-an-angle-at-the-foci-then-the-square-of-the-sum-of-the-lengths-of-its-minor-and-major-axes-is-equal-to-________-2023https://smartachievers.online/question-details/the-line-x-8-is-the-directrix-of-the-ellipse-e-x-2-a-2-y-2-b-2-1-with-the-corresponding-focus-2-0-if-the-tangent-to-e-at-the-point-p-in-the-first-quadrant-passes-through-the-point-0-4-3-and-intersects-the-x-axis-at-q-then-3-p-q-2-is-equal-to-__________-20https://smartachievers.online/question-details/calculate-the-height-of-building-phttps://smartachievers.online/question-details/what-is-the-length-of-shadow-of-burj-khalifa-when-the-length-of-shadow-of-building-q-is-81-metreshttps://smartachievers.online/question-details/let-c-be-the-largest-circle-centred-at-2-0-and-inscribed-in-the-ellipse-x-2-36-y-2-16-1-if-1-lies-on-c-then-10-2-is-equal-to-_______-2023https://smartachievers.online/question-details/at-the-same-instance-when-the-length-of-the-shadow-of-burj-khalifa-was-207-m-what-will-be-the-lehttps://smartachievers.online/question-details/which-criterion-of-similarity-is-applicable-to-the-formed-triangleshttps://smartachievers.online/question-details/let-a-tangent-to-the-curve-9-x-2-16-y-2-144-intersect-the-coordinate-axes-at-the-points-a-and-b-then-the-minimum-length-of-the-line-segment-ab-is-_______-2023https://smartachievers.online/question-details/what-is-the-height-of-the-polehttps://smartachievers.online/question-details/what-is-the-distance-between-mirror-and-polehttps://smartachievers.online/question-details/now-ramesh-moves-back-so-that-the-distance-between-him-and-the-pole-is-13-m-he-places-the-mirror-betwee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its-way-and-the-resulting-vector-is-b-then-the-projection-of-3-a-2-b-on-c-5-i-4-j-3-k-is-2023https://smartachievers.online/question-details/the-ratio-in-which-the-x-axis-divides-the-line-segment-joining-the-points-2-3-and-6-7-ishttps://smartachievers.online/question-details/point-p-a8-4-is-the-mid-point-of-the-line-segment-joining-the-points-a5-2-and-b4-6-the-value-of-ahttps://smartachievers.online/question-details/let-a-2-i-j-k-and-b-and-c-be-non-zero-vectors-such-that-a-b-c-a-b-c-and-b-c-0-consider-the-following-two-statements-a-a-c-a-for-all-r-b-a-and-c-are-always-parallel-then-2023https://smartachievers.online/question-details/the-centre-of-a-circle-whose-diameters-end-points-are-6-3-and-6-4-ishttps://smartachievers.online/question-details/the-vertices-of-a-abc-are-a5-5-b1-5-and-c9-1-a-line-is-drawn-to-intersect-ab-and-ac-at-p-and-q-respectively-such-thathttps://smartachievers.online/question-details/let-a-2-i-3-j-4-k-b-i-2-j-2-k-and-c-i-4-j-3-k-if-d-is-a-vector-perpendicular-to-both-b-and-c-and-a-d-18-then-a-d-2-is-equal-to-2023https://smartachievers.online/question-details/if-the-points-with-position-vectors-i-10-j-13-k-6-i-11-j-11-k-9-2-i-j-8-k-are-collinear-then-19-6-2-is-equal-to-2023https://smartachievers.online/question-details/if-the-coordinates-of-the-midpoints-of-the-sides-of-the-triangle-are-1-2-0-1-and-2-1-whichhttps://smartachievers.online/question-details/let-o-be-the-origin-and-the-position-vector-of-the-point-p-be-i-2-j-3-k-if-the-position-vectors-of-the-points-a-b-and-c-are-2-i-j-3-k-2-i-4-j-2-k-and-4-i-2-j-k-respectively-then-the-projection-of-the-vector-o-p-on-a-vector-perpendicular-to-the-vectors-a-bhttps://smartachievers.online/question-details/assertion-a-the-point-4-6-divides-the-line-segment-joining-a6-10-and-b7-4-in-the-ratio-2-9https://smartachievers.online/question-details/let-a-2-i-7-j-k-b-3-i-5-k-and-c-i-j-2-k-let-d-be-a-vector-which-is-perpendicular-to-both-a-and-b-and-c-d-12-then-i-j-k-c-d-is-equal-to-2023https://smartachievers.online/question-details/let-a-i-j-k-and-b-3-i-j-2-k-let-c-be-a-vector-such-that-a-b-c-c-0-a-c-17-and-b-c-20-then-c-i-j-k-2-is-2023https://smartachievers.online/question-details/assertion-a-if-the-points-a6-1-b8-2-c9-4-and-dp-3-are-the-vertices-of-a-parallelogram-in-order-then-p-7https://smartachievers.online/question-details/let-a-i-4-j-2-k-b-3-i-2-j-7-k-and-c-2-i-j-4-k-if-a-vector-d-satisfies-d-b-c-b-and-d-a-24-then-d-2-is-equal-to-2023https://smartachievers.online/question-details/if-a-is-taken-as-origin-what-are-the-coordinates-of-the-vertices-of-pqrhttps://smartachievers.online/question-details/find-distances-pq-and-qrhttps://smartachievers.online/question-details/let-for-a-triangle-abc-a-b-2-i-j-3-k-c-b-i-j-k-c-a-4-i-3-j-k-if-0-and-the-area-of-the-triangle-abc-is-5-6-then-c-b-c-a-is-equal-to-2023https://smartachievers.online/question-details/find-the-distance-between-the-towers-p0-75-and-q15-15https://smartachievers.online/question-details/let-a-2-b-3-and-the-angle-between-the-vectors-a-and-b-be-4-then-a-2-b-2-a-3-b-2-is-equal-to-2023https://smartachievers.online/question-details/find-the-distance-of-the-point-s5-25-from-the-x-axishttps://smartachievers.online/question-details/let-a-2-i-7-j-5-k-b-i-k-and-c-i-2-j-3-k-be-three-given-vectors-if-r-is-a-vector-such-that-r-a-c-a-and-r-b-0-then-r-is-equal-to-2023https://smartachievers.online/question-details/let-pqr-be-a-triangle-the-points-a-b-and-c-are-on-the-sides-qr-rp-and-pq-respectively-such-that-q-a-a-r-r-b-b-p-p-c-c-q-1-2-then-area-p-q-r-area-a-b-c-is-equal-to-2023https://smartachievers.online/question-details/let-a-i-j-k-a-b-1-and-a-b-i-j-then-a-6-b-is-equal-to-2023https://smartachievers.online/question-details/if-a-i-2-k-b-i-j-k-c-7-i-3-j-4-k-r-b-b-c-0-and-r-a-0-then-r-c-is-equal-to-2023https://smartachievers.online/question-details/let-a-i-2-j-3-k-b-i-j-2-k-and-c-5-i-3-j-3-k-be-three-vectors-if-r-is-a-vector-such-that-r-b-c-b-and-r-a-0-then-25-r-2-is-equal-to-2023https://smartachievers.online/question-details/let-a-6-i-9-j-12-k-b-i-11-j-2-k-and-c-be-vectors-such-that-a-c-a-b-if-a-c-12-c-i-2-j-k-5-then-c-i-j-k-is-equal-to-_______-2023https://smartachievers.online/question-details/let-a-3-i-j-k-and-c-2-i-3-j-3-k-if-b-is-a-vector-such-that-a-b-c-and-b-2-50-then-72-b-c-2-is-equal-to-______-2023https://smartachievers.online/question-details/a2-6-2-b-4-0-c2-3-1-and-d4-5-0-5-are-the-vertices-of-a-quadrilateral-abcd-if-its-area-is-18-square-units-then-5-6-is-equal-to-______-2023https://smartachievers.online/question-details/let-a-i-2-j-k-b-3-i-5-j-k-a-c-7-2-b-c-43-0-a-c-b-c-the-a-b-is-equal-to-_______-2023https://smartachievers.online/question-details/let-a-and-b-be-two-vectors-such-that-a-14-b-6-and-a-b-48-then-a-b-2-is-equal-to-_________-2023https://smartachievers.online/question-details/let-a-b-c-be-three-vectors-such-that-a-31-4-b-c-2-and-2-a-b-3-c-a-if-the-angle-between-b-and-c-is-2-3-then-a-c-a-b-2-is-equal-to-_______-2023https://smartachievers.online/question-details/let-the-position-vectors-of-the-points-a-b-c-and-d-be-5-i-5-j-2-k-i-2-j-3-k-2-i-j-4-k-and-i-5-j-6-k-let-the-set-s-the-points-a-b-c-and-d-are-coplanar-then-s-2-2-is-equal-thttps://smartachievers.online/question-details/let-the-vectors-a-b-c-represent-three-coterminous-edges-of-a-parallelepiped-of-volume-v-then-the-volume-of-the-parallelepiped-whose-coterminous-edges-are-represented-by-a-b-c-and-a-2-b-3-c-is-equal-to-2023https://smartachievers.online/question-details/the-sum-of-all-values-of-for-which-the-points-whose-position-vectors-are-i-2-j-3-k-2-i-3-j-4-k-1-i-2-k-and-9-i-8-j-6-k-are-coplanar-is-equal-to-2023https://smartachievers.online/question-details/let-the-vectors-u-1-i-j-a-k-u-2-i-b-j-k-and-u-3-c-i-j-k-be-coplanar-if-the-vectors-v-1-a-b-i-c-j-c-k-v-2-a-i-b-c-j-a-k-and-v-3-b-i-b-j-c-a-k-are-also-coplanar-then-6-a-b-c-is-equal-to-2023https://smartachievers.online/question-details/if-four-distinct-points-with-position-vectors-a-b-c-and-d-are-coplanar-then-a-b-c-is-equal-to-2023https://smartachievers.online/question-details/let-a-b-c-be-three-distinct-real-numbers-none-equal-to-one-if-the-vectors-a-i-j-k-i-b-j-k-and-i-j-c-k-are-coplanar-then-1-1-a-1-1-b-1-1-c-is-equal-to-2023https://smartachievers.online/question-details/let-s-be-the-set-of-all-for-which-the-vectors-i-j-k-i-2-j-k-and-3-i-4-j-5-k-where-5-are-coplanar-then-s-80-2-2-is-equal-to-2023https://smartachievers.online/question-details/let-u-i-j-2-k-v-2-i-j-k-v-w-2-and-v-w-u-v-then-u-w-is-equal-to-2023https://smartachievers.online/question-details/let-a-b-and-c-be-three-non-zero-vectors-such-that-b-c-0-and-a-b-c-b-c-2-if-d-is-a-vector-such-that-b-d-a-b-then-a-b-c-d-is-equal-to-2023https://smartachievers.online/question-details/if-the-four-points-whose-position-vectors-are-3-i-4-j-2-k-i-2-j-k-2-i-j-3-k-and-5-i-2-j-4-k-are-coplanar-then-is-equal-to-2023https://smartachievers.online/question-details/if-the-vectors-a-i-j-4-k-b-2-i-4-j-2-k-and-c-2-i-3-j-k-are-coplanar-and-the-projection-of-a-on-the-vector-b-is-54-units-then-the-sum-of-all-possible-values-of-is-equal-to-2023https://smartachievers.online/question-details/let-a-4-i-3-j-and-b-3-i-4-j-5-k-if-c-is-a-vector-such-that-c-a-b-25-0-c-i-j-k-4-and-projection-of-c-on-a-is-1-then-the-projection-of-c-on-b-equals-2023https://smartachievers.online/question-details/if-a-b-c-are-three-non-zero-vectors-and-n-is-a-unit-vector-perpendicular-to-c-such-that-a-b-n-0-and-b-c-12-then-c-a-b-is-equal-to-2023https://smartachievers.online/question-details/let-r-a-i-2-j-3-k-b-i-j-2-k-if-a-b-a-b-a-b-8-i-40-j-24-k-then-a-b-a-b-2-is-equal-to-2023https://smartachievers.online/question-details/let-a-and-b-be-two-vectors-let-a-1-b-4-and-a-b-2-if-c-2-a-b-3-b-then-the-value-of-b-c-is-2023https://smartachievers.online/question-details/let-and-be-three-non-zero-non-coplanar-vectors-let-the-position-vector-of-four-points-a-b-cand-dbeandrespectivelyif-and-are-coplanar-then-is-equal-to-________-2023https://smartachievers.online/question-details/let-a-i-2-j-3-k-and-b-i-j-k-if-c-is-a-vector-such-that-a-c-11-b-a-c-27-and-b-c-3-b-then-a-c-2-is-equal-to-________-2023https://smartachievers.online/question-details/let-v-i-2-j-3-k-w-2-i-j-k-and-u-be-a-vector-such-that-u-0-if-the-minimum-value-of-the-scalar-triple-product-u-v-w-is-3401-and-u-i-2-m-n-where-m-and-n-are-coprime-natural-numbers-then-m-n-is-equal-to-_________-2023https://smartachievers.online/question-details/let-x-1-x-2-x-100-be-in-an-arithmetic-progression-with-x-1-2-and-their-mean-equal-to-200-if-y-i-i-x-i-i-1-i-100-then-the-mean-of-y-1-y-2-y-100-is-2023https://smartachievers.online/question-details/the-mean-of-the-coefficients-of-x-x-2-x-7-in-the-binomial-expansion-of-2-x-9-is-__________-2023https://smartachievers.online/question-details/a-fair-facesdie-is-rolled-repeatedly-until-a-number-less-than-appears-if-the-mean-of-the-number-of-tosses-required-isthen-is-equal-to-_______-2023https://smartachievers.online/question-details/the-mean-and-variance-of-a-set-of-15-numbers-are-12-and-14-respectively-the-mean-and-variance-of-another-set-of-15-numbers-are-14-and-respectively-if-the-variance-of-all-the-30-numbers-in-the-two-sets-is-13-then-is-equal-to-2023https://smartachievers.online/question-details/let-the-mean-and-variance-of-12-observations-be-and-4-respectively-later-on-it-was-observed-that-two-observations-were-considered-as-9-and-10-instead-of-7-and-14-respectively-if-the-correct-variance-is-where-and-are-coprime-then-is-equal-to-2023https://smartachievers.online/question-details/let-be-the-mean-and-be-the-standard-deviation-of-the-distribution-where-f-i-62-if-x-denotes-the-greatest-integer-x-then-2-2-is-equal-to-2023https://smartachievers.online/question-details/let-sets-a-and-b-have-5-elements-each-let-the-mean-of-the-elements-in-sets-a-and-b-be-5-and-8-respectively-and-the-variance-of-the-elements-in-sets-a-and-b-be-12-and-20-respectively-a-new-set-c-of-10-elements-is-formed-by-subtracting-3-from-each-element-ohttps://smartachievers.online/question-details/let-the-mean-of-6-observations-1-2-4-5-and-be-5-and-their-variance-be-10-then-their-mean-deviation-about-the-mean-is-equal-to-2023https://smartachievers.online/question-details/the-mean-and-standard-deviation-of-10-observations-are-20-and-8-respectively-later-on-it-was-observed-that-one-observation-was-recorded-as-50-instead-of-40-then-the-correct-variance-is-2023https://smartachievers.online/question-details/the-mean-and-variance-of-5-observations-are-5-and-8-respectively-if-3-observations-are-1-3-5-then-the-sum-of-cubes-of-the-remaining-two-observations-is-2023https://smartachievers.online/question-details/let-9-x-1-x-2-x-7-be-in-an-ap-with-common-difference-d-if-the-standard-deviation-of-x-1-x-2-x-7-is-4-and-the-mean-is-x-then-x-x-6-is-equal-to-2023https://smartachievers.online/question-details/let-the-six-numbers-a-1-a-2-a-3-a-4-a-5-a-6-be-in-ap-and-a-1-a-3-10-if-the-mean-of-these-six-numbers-is-19-2-and-their-variance-is-2-then-8-2-is-equal-to-2023https://smartachievers.online/question-details/the-mean-and-variance-of-the-marks-obtained-by-the-students-in-a-test-are-10-and-4-respectively-later-the-marks-of-one-of-the-students-is-increased-from-8-to-12-if-the-new-mean-of-the-marks-is-102-then-their-new-variance-is-equal-to-2023https://smartachievers.online/question-details/let-s-be-the-set-of-all-values-of-a-1-for-which-the-mean-deviation-about-the-mean-of-100-consecutive-positive-integers-a-1-a-2-a-3-a-100-is-25-then-s-is-2023https://smartachievers.online/question-details/let-the-mean-and-variance-of-8-numbers-x-y-10-12-6-12-4-8-be-9-and-925-respectively-if-x-y-then-3-x-2-y-is-equal-to-_____-2023https://smartachievers.online/question-details/let-the-mean-of-the-data-be-5-if-and-are-respectively-the-mean-deviation-about-the-mean-and-the-variance-of-the-data-thenis-equal-to-________-2023https://smartachievers.online/question-details/the-mean-and-standard-deviation-of-the-marks-of-10-students-were-found-to-be-50-and-12-respectively-later-it-was-observed-that-two-marks-20-and-25-were-wrongly-read-as-45-and-50-respectively-then-the-correct-variance-is-__________-2023https://smartachievers.online/question-details/let-x-11-12-13-40-41-and-y-61-62-63-90-91-be-the-two-sets-of-observations-if-x-and-y-are-their-respective-means-and-2-is-the-variance-of-all-the-observations-in-x-y-then-x-y-2-is-equal-to-_______-2023https://smartachievers.online/question-details/the-mean-and-variance-of-7-observations-are-8-and-16-respectively-if-one-observation-14-is-omitted-and-aaa-and-are-respectively-mean-and-variance-of-remaining-6-observations-then-is-equal-to-______-2023https://smartachievers.online/question-details/if-the-mean-and-variance-of-the-frequency-distribution-are-9-and-1508-respectively-then-the-value-ofis-________-2023https://smartachievers.online/question-details/if-the-mean-of-the-frequency-distribution-is-28-then-its-variance-is-______-2023https://smartachievers.online/question-details/let-the-positive-numbers-a-1-a-2-a-3-a-4-and-a-5-be-in-a-gp-let-their-mean-and-variance-be-31-10-and-m-n-respectively-where-m-and-n-are-co-prime-if-the-mean-of-their-reciprocals-is-31-40-and-a-3-a-4-a-5-14-then-m-n-is-equal-to-_______-2023https://smartachievers.online/question-details/if-the-variance-of-the-frequency-distribution-x-2345678-frequency-f-i-3616956-is-3-then-is-equal-to-_______-2023https://smartachievers.online/question-details/three-dice-are-rolled-if-the-probability-of-getting-different-numbers-on-the-three-dice-is-where-and-are-co-prime-then-is-equal-to-2023https://smartachievers.online/question-details/in-a-bolt-factory-machines-a-b-and-c-manufacture-respectively-20-30-and-50-of-the-total-bolts-of-their-output-3-4-and-2-are-respectively-defective-bolts-a-bolt-is-drawn-at-random-from-the-product-if-the-bolt-drawn-is-found-defective-then-the-probability-thttps://smartachievers.online/question-details/let-denote-the-sum-of-the-numbers-obtained-when-two-dice-are-rolled-if-the-probability-thatis-where-and-are-coprime-then-find-the-value-of-is-equal-to-2023https://smartachievers.online/question-details/let-s-m-a-i-j-a-i-j-0-1-2-1-i-j-2-be-a-sample-space-and-a-m-s-m-is-invertible-be-an-event-then-p-a-is-equal-to-2023https://smartachievers.online/question-details/a-bag-contains-6-white-and-4-black-balls-a-die-is-rolled-once-and-the-number-of-balls-equal-to-the-number-obtained-on-the-die-are-drawn-from-the-bag-at-random-the-probability-that-all-the-balls-drawn-are-white-is-2023https://smartachievers.online/question-details/two-dice-are-thrown-independently-let-a-be-the-event-that-the-number-appeared-on-the-1st-die-is-less-than-the-number-appeared-on-the-2nd-die-b-be-the-event-that-the-number-appeared-on-the-1st-die-is-even-and-that-on-the-2nd-die-is-odd-and-c-be-the-event-thttps://smartachievers.online/question-details/let-m-be-the-maximum-value-of-the-product-of-two-positive-integers-when-their-sum-is-66-let-the-sample-space-s-x-z-x-66-x-5-9-m-and-the-event-a-x-s-x-is-a-multiple-of-3-then-p-a-is-equal-to-2023https://smartachievers.online/question-detail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onium-sulphate-to-2023https://smartachievers.online/question-details/the-number-of-electrons-involved-in-the-reduction-of-permanganate-to-manganese-dioxide-in-acidic-medium-is-__________2023https://smartachievers.online/question-details/in-alkaline-medium-the-reduction-of-permanganate-anion-involves-a-gain-of-__________-electrons2023https://smartachievers.online/question-details/the-total-change-in-the-oxidation-state-of-manganese-involved-in-the-reaction-of-and-potassium-iodide-in-the-acidic-medium-is-__________2023https://smartachievers.online/question-details/in-chromyl-chloride-the-oxidation-state-of-chromium-is-__________-2023https://smartachievers.online/question-details/which-one-amongst-the-following-are-good-oxidizing-agents-a-sm-2-b-ce-2-c-ce-4-d-tb-4-choose-the-most-appropriate-answer-from-the-options-given-below-2023https://smartachievers.online/question-details/nd-2-____________-2023https://smartachievers.online/question-details/given-atomic-number-sm-62-eu-63-tb-65-gd-64-pm-61-a-sm-b-eu-c-tb-d-gd-e-pm-2023https://smartachievers.online/question-details/strong-reducing-and-oxidizing-agents-among-the-following-respectively-are2023https://smartachievers.online/question-details/assertion-a-5f-electrons-can-participate-in-bonding-to-a-far-greater-extent-than-4f-electrons-reason-r-5f-orbitals-are-not-as-buried-as-4f-orbitals-2023https://smartachievers.online/question-details/the-pair-of-lanthanides-in-which-both-elements-have-high-third-ionization-energy-is2023https://smartachievers.online/question-details/an-ammoniacal-metal-salt-solution-gives-a-brilliant-red-precipitate-on-addition-of-dimethylglyoxime-the-metal-ion-is-2023https://smartachievers.online/question-details/the-primary-and-secondary-valencies-of-cobalt-respectively-in-are-2023https://smartachievers.online/question-details/cobalt-chloride-when-dissolved-in-water-forms-pink-coloured-complex-x-which-has-octahedral-geometry-this-solution-on-treating-with-conc-hcl-forms-deep-blue-complex-y-which-has-a-z-geometry-x-y-and-z-respectively-are-2023https://smartachievers.online/question-details/the-incorrect-statements-among-the-following-is-2025https://smartachievers.online/question-details/which-of-the-following-are-the-example-of-double-salt-a-feso-4-nh-4-2-so-4-6-h-2-o-b-cuso-4-4-nh-3-h-2-o-c-k-2-so-4-al-2-so-4-3-24-h-2-o-d-fe-cn-2-4-kcn-choose-the-correct-answer-2023https://smartachievers.online/question-details/the-iupac-name-of-k-3-co-c-2-o-4-3-is-2023https://smartachievers.online/question-details/the-set-which-does-not-have-ambidentate-ligands-is-2023https://smartachievers.online/question-details/two-cones-have-their-heights-in-the-ratio-1-3-and-radii-in-the-ratio-3-1-then-ratio-of-their-volume-ishttps://smartachievers.online/question-details/12-spheres-of-the-same-size-are-made-from-melting-a-solid-cylinder-of-16-cm-diameter-and-2-cm-height-the-diameter-of-each-spherehttps://smartachievers.online/question-details/the-complex-that-dissolves-in-water-is-2023https://smartachievers.online/question-details/the-denticity-of-the-ligand-present-in-the-fehlings-reagent-is-________-2023https://smartachievers.online/question-details/number-of-ambidentate-ligands-in-a-representative-metal-complex-is-________en-ethylenediamine-2023https://smartachievers.online/question-details/the-sum-of-oxidation-state-of-the-metals-in-fe-co-5-vo-2-and-wo-3-is-________-2023https://smartachievers.online/question-details/chiral-complex-from-the-following-is-here-en-ethylenediamine-2023https://smartachievers.online/question-details/the-volume-of-the-largest-right-circular-cone-that-can-be-carved-out-from-a-solid-cube-of-edge-2-cm-ishttps://smartachievers.online/question-details/the-cl-co-cl-bond-angle-values-in-fac-co-nh-3-3-cl-3-complex-isare-2023https://smartachievers.online/question-details/a-right-circular-hollow-cylinder-has-an-outer-radius-of-r-and-inner-radius-of-r-which-of-the-following-statements-hold-true-if-h-is-the-height-of-the-cylinder-i-curved-surface-area-of-the-cylinder-2pirrhhttps://smartachievers.online/question-details/the-complex-cation-which-has-two-isomers-is-2023https://smartachievers.online/question-details/there-is-a-cylinder-circumscribing-the-hemisphere-such-that-their-bases-are-common-and-their-height-is-same-the-respective-ratio-hemisphere-cylinder-of-volume-and-curved-surface-area-arehttps://smartachievers.online/question-details/which-of-the-following-complex-has-a-possibility-to-exist-as-meridional-isomer-2023https://smartachievers.online/question-details/if-is-replaced-by-in-the-complex-which-of-the-following-properties-are-expected-to-get-changed-a-geometry-b-geometrical-isomerism-c-optical-isomerism-d-magnetic-properties-2023https://smartachievers.online/question-details/the-total-number-of-stereoisomers-for-the-complexwhere-oxalate-is-2023https://smartachievers.online/question-details/the-hybridization-and-magnetic-behaviour-of-cobalt-ion-incomplex-respectively-is-2023https://smartachievers.online/question-details/match-list-i-with-l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-s-after-projection-during-its-flight-the-speed-of-projection-of-the-projectile-is-______-m-given-g-10-m-2023https://smartachievers.online/question-details/the-speed-of-a-swimmer-is-4-km-in-still-water-if-the-swimmer-makes-his-strokes-normal-to-the-flow-of-river-of-width-1-km-he-reaches-a-point-750-m-down-the-stream-on-the-opposite-bank-the-speed-of-the-river-water-is-______-km-2023https://smartachievers.online/question-details/a-particle-is-moving-with-constant-speed-in-a-circular-path-when-the-particle-turns-by-an-angle-90-the-ratio-of-instantaneous-velocity-to-its-average-velocity-is-the-value-of-will-be-2023https://smartachievers.online/question-details/as-shown-in-the-figure-a-particle-is-moving-with-constant-speed-ms-considering-its-motion-from-a-to-b-the-magnitude-of-the-average-velocity-is-2023https://smartachievers.online/question-details/for-particle-p-revolving-round-the-centre-with-radius-of-circular-path-and-angular-velocity-as-shown-in-below-figure-the-projection-of-op-on-the-axis-at-time-is-2023https://smartachievers.online/question-details/force-acts-for-20-s-on-a-body-of-mass-20-kg-starting-from-rest-after-which-the-force-ceases-and-then-body-describes-50-m-in-the-next-10-s-the-value-of-force-will-be-2023https://smartachievers.online/question-details/at-any-instant-the-velocity-of-a-particle-of-mass-500-gisif-the-force-acting-on-the-particle-at-1-sisthen-the-value-of-will-be-2023https://smartachievers.online/question-details/assertion-a-an-electric-fan-continues-to-rotate-for-some-time-after-the-current-is-switched-off-reason-r-fan-continues-to-rotate-due-to-inertia-of-motion-2023https://smartachievers.online/question-details/the-position-vector-of-a-particle-related-to-time-ttt-is-given-by-the-direction-of-net-force-experienced-by-the-particle-is-2023https://smartachievers.online/question-details/figures-a-b-c-and-d-show-variation-of-force-with-time-the-impulse-is-highest-in-figure-2023https://smartachievers.online/question-details/an-average-force-of-125-n-is-applied-on-a-machine-gun-firing-bullets-each-of-mass-10-g-at-the-speed-of-250-ms-to-keep-it-in-position-the-number-of-bullets-fired-per-second-by-the-machine-gun-is-2023https://smartachievers.online/question-details/a-body-of-mass-500-g-moves-along-the-axis-such-that-its-velocity-varies-with-displacement-according-to-the-relationms-the-force-acting-on-the-body-is-2023https://smartachievers.online/question-details/three-forces-are-acting-on-a-particle-of-mass-5-kg-the-forces-and-are-applied-such-that-the-particle-remains-at-rest-if-the-force-is-removed-then-the-acceleration-of-the-particle-is-2023https://smartachievers.online/question-details/a-bullet-of-10-g-leaves-the-barrel-of-a-gun-with-a-velocity-of-600-ms-if-the-barrel-of-the-gun-is-50-cm-long-and-the-mass-of-the-gun-is-3-kg-then-the-value-of-impulse-supplied-to-the-gun-will-be-2023https://smartachievers.online/question-details/a-block-of-kg-is-attached-to-a-string-whose-other-end-is-attached-to-the-wall-an-unknown-force-f-is-applied-so-that-the-string-makes-an-angle-of-30-with-the-wall-the-tension-t-is-given-g-10-2023https://smartachievers.online/question-details/statement-i-an-elevator-can-go-up-or-down-with-uniform-speed-when-its-weight-is-balanced-with-the-tension-of-its-cable-2023https://smartachievers.online/question-details/as-per-given-figure-a-weightless-pulley-p-is-attached-on-a-double-inclined-frictionless-surfaces-the-tension-in-the-string-massless-will-be-if-g-10-2023https://smartachievers.online/question-details/a-body-of-mass-10-kg-is-moving-with-an-initial-speed-of-20-ms-the-body-stops-after-5-s-due-to-friction-between-the-body-and-the-floor-the-value-of-the-coefficient-of-friction-is-take-acceleration-due-to-gravity-g-10-2023https://smartachievers.online/question-details/a-block-of-mass-5-kg-is-placed-at-rest-on-a-table-of-rough-surface-now-if-a-force-of-30-n-is-applied-in-the-direction-parallel-to-the-surface-of-the-table-the-block-slides-through-a-distance-of-50-m-in-an-interval-of-time-10-s-coefficient-of-kinetic-fricthttps://smartachievers.online/question-details/consider-a-block-kept-on-an-inclined-plane-inclined-at-45-as-shown-in-the-figure-if-the-force-required-to-just-push-it-up-the-incline-is-2-times-the-force-required-to-just-prevent-it-from-sliding-down-the-coefficient-of-friction-between-the-block-and-thehttps://smartachievers.online/question-details/a-block-of-mass-slides-down-the-plane-inclined-at-an-angle-with-an-acceleration-the-value-of-coefficient-of-kinetic-friction-will-be-2023https://smartachievers.online/question-details/the-time-taken-by-an-object-to-slide-down-a-rough-inclined-plane-is-times-as-it-takes-to-slide-down-a-perfectly-smooth-inclined-plane-the-coefficient-of-kinetic-friction-between-the-object-and-the-inclined-plane-is-2023https://smartachievers.online/question-details/as-shown-in-figure-a-70-kg-garden-roller-is-pushed-with-a-force-of-at-an-angle-of-30-with-the-horizontal-the-normal-reaction-on-the-roller-is-given-2023https://s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body-is-________-j-2023https://smartachievers.online/question-details/as-per-the-given-figure-a-small-ball-p-slides-down-the-quadrant-of-a-circle-and-hits-the-other-ball-q-of-equal-mass-which-is-initially-at-rest-neglecting-the-effect-of-friction-and-assume-the-collision-to-be-elastic-the-velocity-of-ball-q-after-collisionhttps://smartachievers.online/question-details/a-ball-of-mass-200-g-rests-on-a-vertical-post-of-height-20-m-a-bullet-of-mass-10-g-travelling-in-horizontal-direction-hits-the-centre-of-the-ball-after-collision-both-travel-independently-the-ball-hits-the-ground-at-a-distance-30-m-and-the-bullet-at-a-dishttps://smartachievers.online/question-details/a-bullet-of-mass-01-kg-moving-horizontally-with-speed-400-hits-a-wooden-block-of-mass-39-kg-kept-on-a-horizontal-rough-surface-the-bullet-gets-embedded-into-the-block-and-moves-20-m-before-coming-to-rest-the-coefficient-of-friction-between-the-block-and-thttps://smartachievers.online/question-details/a-particle-of-mass-moving-with-velocity-collides-with-a-stationary-particle-of-mass-after-collision-they-stick-together-and-continue-to-move-together-with-velocity-______-2023https://smartachievers.online/question-details/a-body-of-mass-1-kg-collides-head-on-elastically-with-a-stationary-body-of-mass-3-kg-after-collision-the-smaller-body-reverses-its-direction-of-motion-and-moves-with-a-speed-of-2-ms-the-initial-speed-of-the-smaller-body-before-collision-is-________-2023https://smartachievers.online/question-details/a-tennis-ball-is-dropped-on-to-the-floor-from-a-height-of-98-m-it-rebounds-to-a-height-of-50-m-ball-comes-in-contact-with-the-floor-for-02-s-the-average-acceleration-during-contact-is-________-given-2023https://smartachievers.online/question-details/a-ball-is-dropped-from-a-height-of-20-m-if-the-coefficient-of-restitution-for-the-collision-between-ball-and-floor-is-05-after-hitting-the-floor-the-ball-rebounds-to-a-height-of-________-m-2023https://smartachievers.online/question-details/a-thin-uniform-rod-of-length-2m-cross-sectional-area-aand-density-dis-rotated-about-an-axis-passing-through-the-centre-and-perpendicular-to-its-length-with-angular-velocity-if-the-value-of-in-terms-of-its-rotational-kinetic-energy-eisthen-the-value-of-is-https://smartachievers.online/question-details/is-the-moment-of-inertia-of-a-circular-disc-about-an-axis-cm-passing-through-its-center-and-perpendicular-to-the-plane-of-the-discis-its-moment-of-inertia-about-an-axis-ab-perpendicular-to-the-plane-and-parallel-to-axis-cm-at-a-distance-from-the-center-whhttps://smartachievers.online/question-details/if-a-solid-sphere-of-mass-5-kg-and-a-disc-of-mass-4-kg-have-the-same-radius-then-the-ratio-of-moment-of-inertia-of-the-disc-about-a-tangent-in-its-plane-to-the-moment-of-inertia-of-the-sphere-about-its-tangent-will-bethe-value-of-x-is-__________-2023https://smartachievers.online/question-details/two-discs-of-same-mass-and-different-radii-are-made-of-different-materials-such-that-their-thicknesses-are-1-cm-and-05-cm-respectively-the-densities-of-the-materials-are-in-the-ratio-3-5-the-moment-of-inertia-of-these-discs-respectively-about-their-diamethttps://smartachievers.online/question-details/moment-of-inertia-of-a-disc-of-mass-and-radius-r-about-any-of-its-diameter-is-the-moment-of-inertia-of-this-disc-about-an-axis-normal-to-the-disc-and-passing-through-a-point-on-its-edge-will-be-the-value-of-is-__________-2023https://smartachievers.online/question-details/solid-sphere-a-is-rotating-about-an-axis-pq-if-the-radius-of-the-sphere-is-5-cm-then-its-radius-of-gyration-about-pq-will-be-cm-the-value-of-is-________-2023https://smartachievers.online/question-details/a-uniform-solid-cylinder-with-radius-rand-length-lhas-moment-of-inertia-about-the-axis-of-the-cylinder-a-concentric-solid-cylinder-of-radiusand-lengthis-carved-out-of-the-original-cylinder-if-is-the-moment-of-inertia-of-the-carved-out-portion-of-the-cylinhttps://smartachievers.online/question-details/two-identical-solid-spheres-each-of-mass-2-kg-and-radii-10-cm-are-fixed-at-the-ends-of-a-light-rod-the-separation-between-the-centres-of-the-spheres-is-40-cm-the-moment-of-inertia-of-the-system-about-an-axis-perpendicular-to-the-rod-passing-through-its-mihttps://smartachievers.online/question-details/a-ring-and-a-solid-sphere-rotating-about-an-axis-passing-through-their-centers-have-the-same-radius-of-gyration-the-axis-of-rotation-is-perpendicular-to-the-plane-of-the-ring-the-ratio-of-radius-of-the-ring-to-that-of-the-sphere-isthe-value-of-is-________https://smartachievers.online/question-details/the-moment-of-inertia-of-a-semicircular-ring-about-an-axis-passing-through-the-center-and-perpendicular-to-the-plane-of-the-ring-iswhere-ris-the-radius-and-mis-the-mass-of-the-semicircular-ring-the-value-of-will-be-_______-2023https://smartachievers.online/question-details/a-solid-sphere-and-a-solid-cylinder-of-the-same-mass-and-radius-are-rolling-on-a-horizontal-surface-without-slipping-the-ratio-of-their-radii-of-gyration-respectively-is-then-the-value-of-is-_________-2023https://smartachievers.online/question-details/an-object-of-mass-8-kg-is-hanging-from-one-end-of-a-uniform-rod-cd-of-mass-2-kg-and-length-1-m-pivoted-at-its-end-c-on-a-vertical-wall-as-shown-in-fig-it-is-supported-by-a-cable-ab-such-that-the-system-is-in-equilibrium-the-tension-in-the-cable-is-take-ghttps://smartachievers.online/question-details/a-force-of-acts-on-the-origin-of-the-coordinate-system-the-torque-about-the-point-2-3-is-the-ratio-of-is-the-value-of-is-_____-2023https://smartachievers.online/question-details/a-light-rope-is-wound-around-a-hollow-cylinder-of-mass-5-kg-and-radius-70-cm-the-rope-is-pulled-with-a-force-of-525-n-the-angular-acceleration-of-the-cylinder-will-be-________-rad-2023https://smartachievers.online/question-details/a-solid-sphere-of-mass-2-kg-is-making-pure-rolling-on-a-horizontal-surface-with-kinetic-energy-2240-j-the-velocity-of-centre-of-mass-of-the-sphere-will-be-______-2023https://smartachievers.online/question-details/a-uniform-disc-of-mass-05-kg-and-radius-r-is-projected-with-velocity-18-at-t-0-s-on-a-rough-horizontal-surface-it-starts-off-with-a-purely-sliding-motion-at-t-0-s-after-2-s-it-acquires-a-purely-rolling-motion-see-figure-the-total-kinetic-energy-of-the-dishttps://smartachievers.online/question-details/a-solid-sphere-of-mass-1-kg-rolls-without-slipping-on-a-plane-surface-its-kinetic-energy-isjthe-speed-of-the-centre-of-mass-of-the-sphere-is-______-cm-2023https://smartachievers.online/question-details/a-particle-of-mass-100-gis-projected-at-time-with-a-speed-at-an-angle-to-the-horizontal-as-given-in-the-figure-the-magnitude-of-the-angular-momentum-of-the-particle-about-the-starting-point-at-time-is-found-to-be-the-value-of-is-_________-take-2023https://smartachievers.online/question-details/a-solid-sphere-of-mass-500-g-and-radius-5-cm-is-rotated-about-one-of-its-diameter-with-angular-speed-of-10-rad-if-the-moment-of-inertia-of-the-sphere-about-its-tangent-is-times-its-angular-momentum-about-the-diameter-then-the-value-of-will-be-________-202https://smartachievers.online/question-details/a-circular-plate-is-rotating-in-a-horizontal-plane-about-an-axis-passing-through-its-center-and-perpendicular-to-the-plate-with-an-angular-velocity-a-person-sits-at-the-center-having-two-dumbbells-in-his-hands-when-he-stretches-out-his-hands-the-moment-ofhttps://smartachievers.online/question-details/statement-iin-the-oxalic-acid-vsin-the-presence-of-dilute-titration-the-solution-needs-to-be-heated-initially-to-but-no-heating-is-required-in-ferrous-ammonium-sulphate-fas-vstitration-in-the-presence-of-dilutehttps://smartachievers.online/question-details/the-metal-ion-whose-electronic-configuration-is-not-affected-by-the-nature-of-the-ligand-and-which-gives-a-violet-colour-in-non-luminous-flame-under-hot-condition-in-borax-bead-test-is-2025https://smartachievers.online/question-details/a-disc-is-rolling-without-slipping-on-a-surface-the-radius-of-the-disc-is-r-at-the-top-most-point-on-the-disc-is-a-as-shown-in-the-figure-when-the-disc-completes-half-of-its-rotation-the-displacement-of-point-afrom-its-initial-position-is-2023https://smartachievers.online/question-details/a-solid-cylinder-is-released-from-rest-from-the-top-of-an-inclined-plane-of-inclination-30-and-length-60-cm-if-the-cylinder-rolls-without-slipping-its-speed-upon-reaching-the-bottom-of-the-inclined-plane-is-________-given-g-10-2023https://smartachievers.online/question-details/a-hollow-spherical-ball-of-uniform-density-rolls-up-a-curved-surface-with-an-initial-velocity-3-ms-as-shown-in-figure-maximum-height-with-respect-to-the-initial-position-covered-by-it-will-be-________-cm-take-g-10-2023https://smartachievers.online/question-details/for-a-rolling-spherical-shell-the-ratio-of-rotational-kinetic-energy-and-total-kinetic-energy-is-the-value-of-is-________-2023https://smartachievers.online/question-details/a-solid-sphere-is-rolling-on-a-horizontal-plane-without-slipping-if-the-ratio-of-angular-momentum-about-the-axis-of-rotation-of-the-sphere-to-the-total-energy-of-the-moving-sphere-is-then-the-value-of-its-angular-speed-will-be-________-rads-2023https://smartachievers.online/question-details/if-the-distance-of-the-earth-from-the-sun-iskm-then-the-distance-of-an-imaginary-planet-from-the-sun-if-its-period-of-revolution-is-283-years-is-2023https://smartachievers.online/question-details/every-planet-revolves-around-the-sun-in-an-elliptical-orbit-2023https://smartachievers.online/question-details/a-planet-has-double-the-mass-of-the-earth-its-average-density-is-equal-to-that-of-the-earth-an-object-weighingw-on-earth-will-weigh-on-that-planet-2023https://smartachievers.online/question-details/choose-the-incorrect-statement-from-the-following-gravitation-2023https://smartachievers.online/question-details/the-radii-of-two-planets-a-and-b-are-r-and-4r-and-their-densities-are-and-respectively-the-ratio-of-acceleration-due-to-gravity-at-their-surfaces-will-be-2023https://s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-of-the-solution-neglect-density-of-air-is-_______-p-asgiven-2023https://smartachievers.online/question-details/surface-tension-of-a-soap-bubble-iswork-done-to-increase-the-radius-of-the-soap-bubble-from35-cmto-7-cmwill-be-take-2023https://smartachievers.online/question-details/if-1000droplets-of-water-of-surface-tension007-nm-having-same-radius-1-mmeachcombine-to-form-a-single-drop-in-the-process-the-released-surface-energy-is-take-2023https://smartachievers.online/question-details/a-mercury-drop-of-radius-is-broken-into125equal-size-droplets-surface-tension-of-mercury-is-the-gain-in-surface-energy-is-2023https://smartachievers.online/question-details/a-spherical-drop-of-liquid-splits-into-1000-identical-spherical-drops-if-is-the-surface-energy-of-the-original-drop-and-is-the-total-surface-energy-of-the-resulting-drops-the-ignoring-evaporationthen-value-of-is___________-2023https://smartachievers.online/question-details/the-surface-tension-of-soap-solution-is-the-amount-of-work-done-required-to-increase-the-radius-of-a-soap-bubble-from-10-cm-to-20-cm-is-______-2023https://smartachievers.online/question-details/there-is-an-air-bubble-of-radius-10-mm-in-a-liquid-of-surface-tension-0075and-density-1000at-a-depth-of-10-cm-below-the-free-surface-2023https://smartachievers.online/question-details/the-height-of-liquid-column-raised-in-a-capillary-tube-of-certain-radius-when-dipped-in-liquid-a-vertically-is-5-cm-2023https://smartachievers.online/question-details/statement-i-the-contact-angle-between-a-solid-and-a-liquid-is-a-property-of-the-material-of-the-solid-and-liquid-as-well-2023https://smartachievers.online/question-details/1-gof-a-liquid-is-converted-to-vapour-at-a-pressure-of-pressure-if-10of-the-heat-supplied-is-used-for-increasing-the-volume-by-during-this-phase-change-then-the-increase-in-internal-energy-in-the-process-will-be-2023https://smartachievers.online/question-details/heat-energy-of-184-kjis-given-to-ice-of-mass-600-gat-specific-heat-of-ice-is-22223and-latent-heat-of-ice-is-a-final-temperature-of-the-system-will-be-2023https://smartachievers.online/question-details/the-graph-between-two-temperature-scales-pand-qis-shown-in-the-figure-between-the-upper-fixed-point-and-the-lower-fixed-point-there-are-150equal-divisions-on-scale-pand-100divisions-on-scale-q-2023https://smartachievers.online/question-details/for-three-low-density-gases-a-b-c-pressure-versus-temperature-graphs-are-plotted-while-keeping-them-at-constant-volume-as-shown-in-the-figure-2023https://smartachievers.online/question-details/on-a-temperature-scale-x-the-boiling-point-of-water-is-65x-and-the-freezing-point-is-15x-assume-that-the-x-scale-is-linear-the-equivalent-temperature-corresponding-to-95x-on-the-fahrenheit-scale-would-be-2023https://smartachievers.online/question-details/a-faulty-thermometer-reads-5c-in-melting-ice-and-95c-in-steam-the-correct-temperature-on-the-absolute-scale-will-be-_____-k-when-the-faulty-thermometer-reads-41c-2023https://smartachievers.online/question-details/a-hole-is-drilled-in-a-metal-sheet-at-the-diameter-of-the-hole-is-5-cm-when-the-sheet-is-heated-to-the-change-in-the-diameter-of-the-hole-is-the-value-of-will-be-_______-if-the-coefficient-of-linear-expansion-of-the-metal-is-2023https://smartachievers.online/question-details/a-thin-rod-having-a-length-of-1-mand-area-of-cross-section-is-suspended-vertically-from-one-end-the-rod-is-cooled-from-to-after-cooling-a-mass-mis-attached-at-the-lower-end-of-the-rod-such-that-the-length-of-the-rod-again-becomes-1-m-2023https://smartachievers.online/question-details/two-plates-aand-bhave-thermal-conductivitiesandrespectively-they-have-same-surface-area-and-same-thickness-2023https://smartachievers.online/question-details/a-bowl-filled-with-very-hot-soup-cools-from-98c-to-86c-in-2-minutes-when-the-room-temperature-is-22c-how-long-will-it-take-to-cool-from-75c-to-69c-2023https://smartachievers.online/question-details/a-body-cools-in-7-minutes-from-60c-to-40c-the-temperature-of-the-surrounding-is-10c-the-temperature-of-the-body-after-the-next-7-minutes-will-be-2023https://smartachievers.online/question-details/a-body-cools-from-80c-to-60c-in-5-minutes-the-temperature-of-the-surrounding-is-20c-the-time-it-takes-to-cool-from-60c-to-40c-is-2023https://smartachievers.online/question-details/a-body-cools-from-60c-to-40c-in-6-minutes-if-the-temperature-of-the-surroundings-is-10c-then-after-the-next-6-minutes-its-temperature-will-be-_____-c-2023https://smartachievers.online/question-details/statement-i-the-temperature-of-a-gas-is-73c-when-the-gas-is-heated-to-527c-the-root-mean-square-speed-of-the-molecules-is-doubled-2023https://smartachievers.online/question-details/the-root-mean-square-velocity-of-molecules-of-gas-is-2023https://smartachievers.online/question-details/a-bicycle-tyre-is-filled-with-air-having-pressure-of-270-kpa-at-27c-the-approximate-pressure-of-the-air-in-the-tyre-when-the-temperature-increases-to-36c-is-2023https://smartachievers.online/question-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rallel-plate-capacitors-and-each-having-capacitance-of-are-individually-charged-by-a-100-vdc-source-2023https://smartachievers.online/question-details/a-parallel-plate-capacitor-with-plate-area-and-plate-separation-is-filled-with-a-dielectric-material-of-dielectric-constant-k-4-the-thickness-of-the-dielectric-material-is-where-2023https://smartachievers.online/question-details/the-equivalent-capacitance-of-the-combination-shown-is-2023https://smartachievers.online/question-details/a-parallel-plate-capacitor-of-capacitance-is-charged-to-a-potential-the-energy-stored-in-the-capacitor-is-2023https://smartachievers.online/question-details/a-capacitor-of-capacitance-is-charged-by-a-100-v-battery-the-capacitor-is-disconnected-from-the-battery-and-connected-to-another-uncharged-identical-capacitor-such-that-one-plate-of-the-uncharged-capacitor-is-connected-to-the-positive-plate-and-the-otherhttps://smartachievers.online/question-details/a-600-pf-capacitor-is-charged-by-a-200-v-supply-it-is-then-disconnected-from-the-supply-and-is-connected-to-another-uncharged-600-pf-capacitor-electrostatic-energy-lost-in-the-process-is-__________-2023https://smartachievers.online/question-details/in-the-given-circuitthe-charge-stored-on-capacitor-is-______-2023https://smartachievers.online/question-details/in-the-given-figure-the-total-charge-stored-in-the-combination-of-capacitors-is-the-value-of-is-_________-2023https://smartachievers.online/question-details/a-uniform-metallic-wire-carries-a-current-of-2-a-when-a-34-vbattery-is-connected-across-it-the-mass-of-the-uniform-metallic-wire-is-density-is-and-resistivity-is-the-length-of-the-wire-is-2023https://smartachievers.online/question-details/the-resistance-of-a-wire-is-its-new-resistance-in-ohm-if-stretched-to-5times-of-its-original-length-will-be-2023https://smartachievers.online/question-details/the-charge-flowing-in-a-conductor-changes-with-time-aswhere-and-are-constants-minimum-value-of-current-is-2023https://smartachievers.online/question-details/the-drift-velocity-of-electrons-for-a-conductor-connected-in-an-electrical-circuit-is-2023https://smartachievers.online/question-details/in-a-metallic-conductor-under-the-effect-of-applied-electric-field-the-free-electrons-of-the-conductor-2023https://smartachievers.online/question-details/a-hollow-cylindrical-conductor-has-length-of-314-m-while-its-inner-and-outer-diameters-are-4-mmand-8-mmrespectively-the-resistance-of-the-conductor-is-if-the-resistivity-of-the-material-is-the-value-of-is-________-2023https://smartachievers.online/question-details/if-a-copper-wire-is-stretched-to-increase-its-length-by-20-the-percentage-increase-in-resistance-of-the-wire-is-______-2023https://smartachievers.online/question-details/a-current-of-2-aflows-through-a-wire-of-cross-sectional-area-the-number-of-free-electrons-in-a-cubic-meter-are-the-drift-velocity-of-the-electrons-is-____-given-charge-on-electron-2023https://smartachievers.online/question-details/the-number-density-of-free-electrons-in-copper-is-nearly-a-copper-wire-has-its-area-of-cross-sectionand-is-carrying-a-current-of-32-a-the-drift-speed-of-the-electrons-is-_______-2023https://smartachievers.online/question-details/a-wire-of-resistance-160-is-melted-and-drawn-in-wire-of-one-fourth-of-its-length-the-new-resistance-of-the-wire-will-be-2023https://smartachievers.online/question-details/the-length-of-a-metallic-wire-is-increased-by-20-and-its-area-of-cross-section-is-reduced-by-4-the-percentage-change-in-resistance-of-the-metallic-wire-is-______-2023https://smartachievers.online/question-details/a-rectangular-parallelepiped-is-measured-as-if-its-specific-resistance-is-then-the-resistance-between-its-two-opposite-rectangular-faces-will-be-_______-2023https://smartachievers.online/question-details/the-current-flowing-through-a-conductor-connected-across-a-source-is-2-aand-12-aat-and-respectivelythe-current-flowing-through-the-conductor-at-will-be-_______-2023https://smartachievers.online/question-details/as-shown-in-the-figure-a-network-of-resistors-is-connected-to-a-battery-of-24-vwith-an-internal-resistance-of-the-currents-through-the-resistors-and-are-and-respectively-the-values-of-and-are-2023https://smartachievers.online/question-details/the-equivalent-resistance-between-aand-bis-2023https://smartachievers.online/question-details/the-equivalent-resistance-between-aand-bof-the-network-shown-in-the-figure-2023https://smartachievers.online/question-details/equivalent-resistance-between-the-adjacent-corners-of-a-regular-sided-polygon-of-uniform-wire-of-resistance-would-be-2023https://smartachievers.online/question-details/the-equivalent-resistance-between-aand-bas-shown-in-the-figure-is-2023https://smartachievers.online/question-details/the-equivalent-resistance-of-the-circuit-shown-below-between-points-and-is-2023https://smartachievers.online/question-details/statement-i-the-equivalent-resistance-of-resistors-in-a-series-combination-is-smaller-than-the-least-resistance-used-in-the-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-a-bigger-drop-the-terminal-velocity-of-the-bigger-drop-is-______-cms-2026https://smartachievers.online/question-details/statement-i-in-the-coagulation-of-a-negative-sol-the-flocculating-power-of-the-three-given-ions-is-in-the-order-2022https://smartachievers.online/question-details/let-denote-the-greatest-integer-function-then-2-2-12-3-x-3-sin-x-cos-x-is-equal-to-2026https://smartachievers.online/question-details/let-a-z-z-2-4-and-b-z-z-2-z-2-5-then-the-max-z-1-z-2-z-1-a-a-n-d-z-2-b-is-2026https://smartachievers.online/question-details/letbe-two-parabolas-if-the-area-of-the-bounded-region-enclosed-between-is-six-times-the-area-of-the-bounded-region-enclosed-between-the-lineandthen-is-equal-to-2026https://smartachievers.online/question-details/let-qabc-be-the-image-of-the-point-p321-in-the-line-x-1-1-y-2-z-1-1-then-the-distance-of-q-from-the-line-x-9-3-y-9-2-z-5-2-is-2026https://smartachievers.online/question-details/let-the-circle-x-2-y-2-4-intersect-x-axis-at-the-points-a-a-0-a-0-a-n-d-b-b-0-let-p-2-cos-2-sin-0-2-a-n-d-q-2-cos-2-sin-be-two-points-such-that-2-then-the-point-of-intersection-of-aq-and-bp-lies-on-2026https://smartachievers.online/question-details/iven-below-are-two-statements-statement-i-the-functiondefined-byis-one-one-statement-ii-the-functiondefined-byis-many-one-in-the-light-of-the-above-statements-choose-the-correct-answer-from-the-options-given-belowhttps://smartachievers.online/question-details/let-a-be-the-focus-of-the-parabolalet-the-lineymxc-intersect-the-parabola-at-two-distinct-points-band-cif-the-centroid-of-the-triangle-abc-isthenis-equahttps://smartachievers.online/question-details/which-of-the-following-statement-is-not-correct-about-diborane-2022https://smartachievers.online/question-details/choose-the-correct-statementchemical-bonding-2022https://smartachievers.online/question-details/six-point-charges-are-kept-apart-from-each-other-on-the-circumference-of-a-circle-of-radius-ras-shown-in-figure-the-net-electric-field-at-the-center-of-the-circle-is-______-is-permittivity-of-free-space-2026https://smartachievers.online/question-details/let-the-ellipse-e-x-2-144-y-2-169-1-and-the-hyperbola-h-x-2-16-y-2-2-1-have-the-same-foci-if-e-and-l-respectively-denote-the-eccentricity-and-the-length-of-latus-rectum-of-h-then-the-value-of-24el-is-2026https://smartachievers.online/question-details/three-identical-coils-and-are-closely-placed-such-that-they-share-a-common-axis-is-exactly-midway-carries-current-in-anti-clockwise-direction-while-carries-current-in-clockwise-direction-2026https://smartachievers.online/question-details/statement-i-pressure-of-a-fluid-is-exerted-only-on-a-solid-surface-in-contact-as-the-fluid-pressure-does-not-exist-everywhere-in-a-still-fluid-2026https://smartachievers.online/question-details/a-projectile-is-thrown-upward-at-an-angle-with-the-horizontal-the-speed-of-the-projectile-is-20-mswhen-its-direction-of-motion-is-with-the-horizontal-the-initial-speed-of-the-projectile-is-________-ms-2026https://smartachievers.online/question-details/6-3-26-10-1-3-25-10-2-3-24-10-2-2-3-23-10-2-24-3-is-equal-to-2026https://smartachievers.online/question-details/rods-and-of-equal-dimensions-but-of-different-materials-are-joined-as-shown-in-the-figure-temperatures-of-end-points-and-are-maintained-at-and-respectively-2026https://smartachievers.online/question-details/given-below-are-two-statements-statement-i-25-13-20-13-8-13-3-13-25-13-20-13-8-13-3-13-is-divisible-by-7-7-statement-ii-the-integral-part-of-7-4-3-25-74-3-25-is-an-odd-number-in-the-lighthttps://smartachievers.online/question-details/a-thin-convex-lens-of-focal-length-5-cmand-a-thin-concave-lens-of-focal-length-4-cmare-combined-together-without-any-gap-and-this-combination-has-magnification-when-an-object-is-placed-10-cmbefore-the-convex-lens-2026https://smartachievers.online/question-details/if-r-1-25-r-r-4-r-2-1-p-q-where-p-and-q-are-positive-integers-such-that-gcd-pq1-then-pq-is-equal-to-________-2026https://smartachievers.online/question-details/xpqyis-a-vertical-smooth-long-loop-having-a-total-resistance-rwhere-pxis-parallel-to-qyand-the-separation-between-them-is-2026https://smartachievers.online/question-details/if-the-distance-of-the-point-p-43-0-from-the-line-r-4-i-k-2-i-3-k-along-a-line-with-direction-ratios-3-1-0-is-13-10-then-2-2-is-equal-to-_______-2026https://smartachievers.online/question-details/let-a-3-4-1-1-and-b-be-two-matrices-such-that-a-100-100-b-i-then-the-sum-of-all-the-elements-of-b-100-is-________-2026https://smartachievers.online/question-details/the-minimum-frequency-of-photon-required-to-break-a-particle-of-mass-15348-amuinto-4particles-is-_______-khz-mass-of-he-nucleus-4002-amu-1-amu-kg-jsand-ms-2026https://smartachievers.online/question-details/net-gravitational-force-at-the-center-of-a-square-is-found-to-be-when-four-particles-having-mass-m-2m-3mand-4mare-placed-at-the-four-corners-of-the-square-as-shown-in-figure-and-is-when-the-positions-of-3mand-4mare-interchanged-the-ratio-is-the-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wer-fromhttps://smartachievers.online/question-details/given-below-are-four-compounds-a-n-propyl-chloride-b-iso-propyl-chloride-c-sec-butyl-chloride-d-neo-pentyl-chloride-percentage-of-carbon-in-the-one-which-exhibits-optical-isomerism-is-2026https://smartachievers.online/question-details/the-correct-increasing-order-of-ch-a-co-b-co-c-and-cn-d-bonds-in-terms-of-covalent-bond-length-is-2026https://smartachievers.online/question-details/consider-the-following-spectral-lines-for-atomic-hydrogen-a-first-line-of-paschen-series-b-second-line-of-balmer-series-c-third-line-of-paschen-series-d-fourth-line-of-brackhttps://smartachievers.online/question-details/for-a-closed-circuit-daniell-cell-which-of-the-following-plots-is-the-accurate-one-at-a-given-temperature-2026https://smartachievers.online/question-details/the-correct-order-of-the-rate-of-the-reaction-for-the-following-reaction-with-respect-to-nucleophiles-is-2026https://smartachievers.online/question-details/the-correct-statements-are-a-activation-energy-for-enzyme-catalysed-hydrolysis-of-sucrose-is-lower-than-that-of-acid-catalysed-hydrolysis-b-during-denaturation-secondary-and-tertiary-structures-of-a-protein-are-destroyhttps://smartachievers.online/question-details/mx-is-a-sparingly-soluble-salt-that-follows-the-given-solubility-equilibrium-at-298-k-if-the-standard-reduction-potential-foristhen-the-value-of-the-standard-reduction-potential-for-the-metalmetal-insoluble-salt-electrodeis-___________________mv-nearest-ihttps://smartachievers.online/question-details/identify-the-metal-ions-among-having-a-spin-only-magnetic-moment-value-more-than-30-bm-the-sum-of-unpaired-electrons-present-in-the-high-spin-octahedral-complexes-formhttps://smartachievers.online/question-details/the-first-and-second-ionization-constants-of-h-2-x-are-2-5-10-8-and-1-0-10-13-respectively-the-concentration-of-x-2-in-0-1-m-h-2-x-solution-is______-10-15-m-nearest-integer-2026https://smartachievers.online/question-details/a-substance-x-15-g-dissolved-in-150-g-of-a-solvent-y-molar-mass-300-g-led-to-an-elevation-of-the-boiling-point-by-05-k-the-relative-lowering-in-the-vapour-pressure-of-the-solvent-y-is-______-nearest-integer-given-of-the-solvent-50-k-kg-assume-the-solutionhttps://smartachievers.online/question-details/the-osmotic-pressure-of-a-living-cell-is-12-atm-at-300-k-the-strength-of-sodium-chloride-solution-that-is-isotonic-with-the-living-cell-at-this-temperature-is-______-g-nearest-integer-given-r-008-l-atm-assume-complete-dissociatiohttps://smartachievers.online/question-details/if-the-system-of-equations-3-x-y-4-z-3-2-x-y-z-3-x-2-y-z-4-has-no-solution-then-the-value-of-is-equal-to-2026https://smartachievers.online/question-details/let-z-be-the-complex-number-satisfying-z-5-3-and-having-maximum-positive-principal-argument-then-34-5-z-12-5-i-z-16-2-is-equal-to-2026https://smartachievers.online/question-details/a-random-variable-x-takes-values-0-1-2-3-with-probabilities-2-a-1-30-8-a-1-30-4-a-1-30-b-respectively-where-a-b-r-let-and-respectively-be-the-mean-and-standard-deviation-of-x-such-that-2-2-2-then-a-b-is-equal-to-2026https://smartachievers.online/question-details/let-a-x-x-2-10-6-and-b-x-x-2-1-then-2026https://smartachievers.online/question-details/letbe-a-twice-differentiable-function-such-thatfor-allwhere-a-is-a-real-number-letconsider-the-following-two-statements-i-gis-increasing-in-ii-gis-decreasing-inhttps://smartachievers.online/question-details/let-and-be-the-roots-of-the-equation-x-2-2-a-x-3-a-10-0-such-that-then-the-set-of-all-possible-values-of-a-is-2026https://smartachievers.online/question-details/the-positive-integer-n-for-which-the-solutions-of-the-equation-x-x-2-x-2-x-4-x-2-n-2-x-2-n-8-n-3-are-two-consecutive-even-integers-is-2026https://smartachievers.online/question-details/let-y-yx-be-the-solution-of-the-differential-equation-sec-x-d-y-d-x-2-y-2-3-sin-x-x-2-2-y-0-7-4-then-y-6-is-equal-to-2026https://smartachievers.online/question-details/let-one-end-of-a-focal-chord-of-the-parabola-be-1616-if-p-divides-this-focal-chord-internally-in-the-ratio-52-then-the-minimum-value-of-is-equalhttps://smartachievers.online/question-details/if-the-line-a-x-4-y-7-where-a-touches-the-ellipse-3-x-2-4-y-2-1-at-the-point-p-in-the-first-quadrant-then-one-of-the-focal-distances-of-p-is-2026https://smartachievers.online/question-details/for-the-matricesifthen-among-the-following-which-one-is-true-2026https://smartachievers.online/question-details/let-be-the-parabola-with-its-vertex-at-o-let-pbe-a-point-on-the-parabola-and-abe-a-point-on-the-x-axis-such-that-then-the-locus-of-the-centroid-of-such-triangles-opa-ishttps://smartachievers.online/question-details/if-the-area-of-the-region-x-y-1-2-x-y-4-x-2-x-0-y-0-is-gcd-1-then-the-value-of-is-2026https://smartachievers.online/question-details/the-largest-n-n-for-which-7-n-divides-101-is-2026https://smartachievers.online/question-details/for-a-triangle-abc-let-p-b-c-q-c-a-a-n-d-r-b-a-if-p-2-3-q-2-a-n-d-cos-1-3-where-is-the-angle-betwe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um-is-where-and-are-constants-the-angle-between-the-force-and-the-momentum-is-2007https://smartachievers.online/question-details/statement-1-it-is-easier-to-pull-a-heavy-object-than-to-push-it-on-a-level-ground-and-statement-2-the-magnitude-of-frictional-force-depends-on-the-nature-of-the-two-surfaces-in-contact-2008https://smartachievers.online/question-details/statement-1-a-cloth-covers-a-table-some-dishes-are-kept-on-it-the-cloth-can-be-pulled-out-without-dislodging-the-dishes-from-the-table-statement-2-for-every-action-there-is-an-equal-and-opposite-reaction-2007https://smartachievers.online/question-details/the-string-between-blocks-of-mass-and-is-massless-and-inextensible-the-system-is-suspended-by-a-massless-spring-as-shown-if-the-string-is-cut-find-the-magnitudes-of-accelerations-of-mass-andimmediately-after-cutting-2006https://smartachievers.online/question-details/two-particles-of-mass-each-are-tied-at-the-ends-of-a-light-string-of-length-the-whole-system-is-kept-on-a-frictionless-horizontal-surface-with-the-string-held-tight-so-that-each-mass-is-at-a-distance-from-the-centre-p-as-shown-in-the-figure-2007https://smartachievers.online/question-details/a-string-of-negligible-mass-going-over-a-clamped-pulley-of-mass-supports-a-block-of-mass-as-shown-in-the-figure-the-force-on-the-pulley-by-the-clamp-is-given-by-2001https://smartachievers.online/question-details/the-pulleys-and-strings-shown-in-the-figure-are-smooth-and-of-negligible-mass-for-the-system-to-remain-in-equilibrium-the-angle-should-be-2001https://smartachievers.online/question-details/one-end-of-a-horizontal-uniform-beam-of-weight-and-length-is-hinged-on-a-vertical-wall-at-point-and-its-other-end-is-supported-by-a-light-inextensible-rope-the-other-end-of-the-rope-is-fixed-at-point-at-a-height-above-the-hinge-at-point-2021https://smartachievers.online/question-details/a-block-of-mass-is-attached-to-a-massless-spring-with-spring-constant-this-block-is-connected-to-two-other-blocks-of-masses-and-using-two-massless-pulleys-and-strings-2019https://smartachievers.online/question-details/a-block-of-mass-is-on-an-inclined-plane-of-angle-the-coefficient-of-friction-between-the-block-and-the-plane-is-and-the-block-is-held-stationary-by-applying-a-force-parallel-to-the-plane-2010https://smartachievers.online/question-details/a-block-of-base-and-height-is-kept-on-an-inclined-plane-the-coefficient-of-friction-between-them-is-the-inclination-of-this-inclined-plane-from-the-horizontal-plane-is-gradually-increased-from-then-2009https://smartachievers.online/question-details/what-is-the-maximum-value-of-the-force-such-that-the-block-shown-in-the-arrangement-does-not-move-2003https://smartachievers.online/question-details/an-insect-crawls-up-a-hemispherical-surface-very-slowly-see-fig-the-coefficient-of-friction-between-the-insect-and-the-surface-is-13-if-the-line-joining-the-centre-of-the-hemispherical-surface-to-the-insect-makes-an-angle-with-the-vertical-the-maximum-poshttps://smartachievers.online/question-details/a-block-is-moving-on-an-inclined-plane-making-an-angle-with-the-horizontal-and-the-coefficient-of-friction-is-the-force-required-to-just-push-it-up-the-inclined-plane-is-3-times-the-force-required-to-just-prevent-it-from-sliding-down-if-we-define-then-ishttps://smartachievers.online/question-details/a-small-block-of-mass-of-lies-on-a-fixed-inclined-plane-which-makes-an-angle-with-the-horizontal-a-horizontal-force-of-1-n-acts-on-the-block-through-its-centre-of-mass-as-shown-in-the-figure-the-block-remains-stationary-if-take-2012https://smartachievers.online/question-details/a-block-of-mass-and-another-mass-are-placed-together-see-figure-on-an-inclined-plane-with-angle-of-inclination-various-values-of-are-given-in-list-i-the-coefficient-of-friction-between-the-block-and-plane-is-always-zero-2014https://smartachievers.online/question-details/a-ball-of-mass-m-05-kg-is-attached-to-the-end-of-a-string-having-length-l-05-m-the-ball-is-rotated-on-a-horizontal-circular-path-about-a-vertical-axis-the-maximum-tension-that-the-string-can-bear-is-324-n-the-maximum-possible-value-of-angular-velocity-ofhttps://smartachievers.online/question-details/a-small-block-is-shot-into-each-of-the-four-tracks-as-shown-below-each-of-the-tracks-rises-to-the-same-height-the-speed-with-which-the-block-enters-the-track-is-the-same-in-all-cases-at-the-highest-point-of-the-track-the-normal-reaction-is-maximum-in-2001https://smartachievers.online/question-details/a-thin-circular-coin-of-mass-5-gmand-radius-is-initially-in-a-horizontal-plane-the-coin-is-tossed-vertically-up-direction-by-applying-an-impulse-of-n-s-at-a-distance-from-its-center-the-coin-spins-about-its-diameter-and-moves-along-the-direction-by-the-tihttps://smartachievers.online/question-details/a-wire-which-passes-through-the-hole-in-a-small-bead-is-bent-in-the-form-of-a-quarter-of-a-circle-the-wire-is-fixed-vertically-on-ground-as-shown-in-the-figure-the-bead-is-released-from-near-the-top-of-the-wire-and-it-sl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uation-x-2-p-x-q-0-then-the-relation-between-p-and-q-is-2004https://smartachievers.online/question-details/for-the-equation-3-x-2-p-x-3-0-p-0-if-one-of-the-root-is-square-of-the-other-then-p-is-equal-to-2000https://smartachievers.online/question-details/if-b-a-then-the-equation-x-a-x-b-1-0-has-2000https://smartachievers.online/question-details/if-and-are-the-roots-of-the-equation-x-2-b-x-c-0-where-c-0-b-then-2000https://smartachievers.online/question-details/the-product-of-all-positive-real-values-of-x-satisfying-the-equation-x-16-log-5-x-3-68-log-5-x-5-16-is-________-2022https://smartachievers.online/question-details/for-x-then-the-number-of-real-roots-of-the-equation-3-x-2-4-x-2-1-x-1-0-is-________-2021https://smartachievers.online/question-details/the-smallest-value-of-k-for-which-both-the-roots-of-the-equation-x-2-8-k-x-16-k-2-k-1-0-are-real-distinct-and-have-values-at-least-4-is-2009https://smartachievers.online/question-details/let-r-2-denote-r-r-let-s-a-b-c-a-b-c-r-and-a-x-2-2-b-x-y-c-y-2-0-for-all-x-y-r-2-0-0-then-which-of-the-following-statements-is-are-true-2024https://smartachievers.online/question-details/if-3-x-4-x-1-then-x-2013https://smartachievers.online/question-details/let-p-q-be-integers-and-let-be-the-roots-of-the-equation-x-2-x-1-0-where-for-n-0-1-2-let-a-n-p-n-q-n-fact-if-a-and-b-are-rational-numbers-and-a-b-5-0-then-a-0-b-q-a-12-2017https://smartachievers.online/question-details/let-p-q-be-integers-and-let-be-the-roots-of-the-equation-x-2-x-1-0-where-for-n-0-1-2-let-a-n-p-n-q-n-fact-if-a-and-b-are-rational-numbers-and-a-b-5-0-then-a-0-b-q-if-a-4-28-then-p-2-q-2017https://smartachievers.online/question-details/let-a-b-c-p-q-be-real-numbers-suppose-are-the-roots-of-the-equation-x-2-2-p-x-q-0-and-1-are-the-roots-of-the-equation-a-x-2-2-b-x-c-0-where-2-1-0-1-statement-1-p-2-q-b-2-a-c-0-and-statement-2-b-p-a-or-c-q-a-2008https://smartachievers.online/question-details/a-value-of-b-for-which-the-equations-x-2-b-x-1-0-x-2-x-b-0-have-one-root-in-common-is-2011https://smartachievers.online/question-details/for-all-x-x-2-2-a-x-10-3-a-0-then-the-interval-in-which-a-lies-is-2004https://smartachievers.online/question-details/let-f-x-x-4-a-x-3-b-x-2-c-be-a-polynomial-with-real-coefficients-such-that-f-1-9-suppose-that-i-3-is-a-root-of-the-equation-4-x-3-3-a-x-2-2-b-x-0-where-i-1-if-1-2-3-and-4-are-all-the-roots-of-the-equation-f-x-0-then-1-2-2-2-3-2-4-2-is-equal-to-_______-202https://smartachievers.online/question-details/let-s-be-the-set-of-all-non-zero-real-numbers-such-that-the-quadratic-equation-x-2-x-0-has-two-distinct-real-roots-x-1-and-x-2-satisfying-the-inequality-x-1-x-2-1-which-of-the-following-intervals-isare-a-subsets-of-s-2015https://smartachievers.online/question-details/six-cards-and-six-envelopes-are-numbered-1-2-3-4-5-6-and-cards-are-to-be-placed-in-envelopes-so-that-each-envelope-contains-exactly-one-card-and-no-card-is-placed-in-the-envelope-bearing-the-same-number-and-moreover-the-card-numbered-1-is-always-placed-inhttps://smartachievers.online/question-details/the-number-of-seven-digit-integers-with-sum-of-the-digits-equal-to-10-and-formed-by-using-the-digits-1-2-and-3-only-is-2009https://smartachievers.online/question-details/the-letters-of-the-word-cochin-are-permuted-and-all-the-permutations-are-arranged-in-an-alphabetical-order-as-in-an-english-dictionary-the-number-of-words-that-appear-before-the-word-cochin-is-2007https://smartachievers.online/question-details/if-the-lcm-of-is-where-are-prime-numbers-and-are-positive-integers-then-the-number-of-ordered-pair-is-2006https://smartachievers.online/question-details/the-number-of-arrangements-of-the-letters-of-the-word-banana-in-which-the-two-ns-do-not-appear-adjacently-is-2002https://smartachievers.online/question-details/how-many-different-nine-digit-numbers-can-be-formed-from-the-number-223355888-by-rearranging-its-digits-so-that-the-odd-digits-occupy-even-positions-2000https://smartachievers.online/question-details/the-number-of-5-digit-numbers-which-are-divisible-by-4-with-digits-from-the-set-1-2-3-4-5-and-the-repetition-of-digits-is-allowed-is-______-2018https://smartachievers.online/question-details/let-n-1-n-2-n-3-n-4-n-5-be-positive-integers-such-that-n-1-n-2-n-3-n-4-n-5-20-then-the-number-of-such-distinct-arrangements-n-1-n-2-n-3-n-4-n-5-is-______-2014https://smartachievers.online/question-details/in-a-hotel-four-rooms-are-available-six-persons-are-to-be-accommodated-in-these-four-rooms-in-such-a-way-that-each-of-these-rooms-contains-at-least-one-person-and-at-most-two-persons-then-the-number-of-all-possible-ways-in-which-this-can-be-done-is-______https://smartachievers.online/question-details/five-persons-a-b-c-d-and-e-are-seated-in-a-circular-arrangement-if-each-of-them-is-given-a-hat-of-one-of-the-three-colours-red-blue-and-green-then-the-number-of-ways-of-distributing-the-hats-such-that-the-persons-seated-in-adjacent-seats-get-different-colhttps://smartachievers.online/question-details/the-number-of-4-digit-integer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rms-is-zero-then-a-b-equals-2001https://smartachievers.online/question-details/let-a-and-b-be-two-non-zero-real-numbers-if-the-coefficient-of-x-5-in-the-expansion-of-a-x-2-70-27-b-x-4-is-equal-to-the-coefficient-of-x-5-in-the-expansion-of-a-x-1-b-x-2-7-then-the-value-of-2-b-is-2023https://smartachievers.online/question-details/let-m-be-the-smallest-positive-integer-such-that-the-coefficient-of-x-2-in-the-expansion-of-1-x-2-1-x-3-1-x-49-1-m-x-50-is-3-n-1-c-3-51-for-some-positive-integer-n-then-the-value-of-n-is-2016https://smartachievers.online/question-details/the-coefficients-of-three-consecutive-terms-of-1-x-n-5-are-in-the-ratio-5-10-14-then-n-2013https://smartachievers.online/question-details/let-x-c-1-10-2-2-c-2-10-2-3-c-3-10-2-10-c-10-10-2-where-c-r-10-r-1-2-10-denote-binomial-coefficients-then-the-value-of-1-1430-x-is-______-2018https://smartachievers.online/question-details/coefficient-of-x-11-in-the-expansion-of-1-x-2-4-1-x-3-7-1-x-4-12-is-2014https://smartachievers.online/question-details/the-value-of-30-0-30-10-30-1-30-11-30-2-30-12-30-20-30-30-is-where-n-r-c-r-n-2005https://smartachievers.online/question-details/the-sum-i-0-m-10-i-20-m-i-where-p-q-0-if-p-q-is-maximum-when-m-is-2002https://smartachievers.online/question-details/for-2-r-n-n-r-2-n-r-1-n-r-2-2000https://smartachievers.online/question-details/let-a-0-a-1-a-23-be-real-numbers-such-that-1-2-5-x-23-i-0-23-a-i-x-i-for-every-real-number-x-let-a-r-be-the-largest-among-the-numbers-a-j-for-0-j-23-then-the-value-of-r-is-________-2025https://smartachievers.online/question-details/suppose-det-k-0-n-k-k-0-n-c-k-n-k-2-k-0-n-c-k-n-k-k-0-n-c-k-n-3-k-0-holds-for-some-positive-integer-n-the-k-0-n-c-k-n-k-1-equals-_________-2019https://smartachievers.online/question-details/let-b-i-1-for-i-1-2-101-suppose-log-e-b-1-log-e-b-2-log-e-b-101-are-in-arithmetic-progression-ap-with-common-difference-log-e-2-suppose-a-1-a-2-a-101-are-in-ap-such-that-a-1-b-1-and-a-51-b-51-if-t-b-1-b-2-b-51-and-s-a-1-a-2-a-53-then-2016https://smartachievers.online/question-details/in-the-sum-of-first-n-terms-of-an-ap-is-c-n-2-then-the-sum-of-squares-of-these-n-terms-is-2009https://smartachievers.online/question-details/if-the-sum-of-the-first-2-n-terms-of-the-ap-2-5-8-is-equal-to-the-sum-of-the-first-n-terms-of-the-ap-57-59-61-then-n-equals-2001https://smartachievers.online/question-details/suppose-that-all-the-terms-of-an-arithmetic-progression-ap-are-natural-numbers-if-the-ratio-of-the-sum-of-the-first-seven-terms-to-the-sum-of-the-first-eleven-terms-is-6-11-and-the-seventh-term-lies-in-between-130-and-140-then-the-common-difference-of-thihttps://smartachievers.online/question-details/a-pack-contains-cards-numbered-from-1-to-two-consecutive-numbered-cards-are-removed-from-the-pack-and-the-sum-of-the-numbers-on-the-remaining-cards-is-1224-if-the-smaller-of-the-numbers-on-the-removed-cards-is-then-2013https://smartachievers.online/question-details/let-a-1-a-2-a-3-a-100-be-an-arithmetic-progression-with-a-1-3-and-s-p-i-1-p-a-i-1-p-100-for-any-integer-n-with-1-n-20-let-m-5-n-if-s-m-s-n-does-not-depend-on-n-then-a-2-is-2011https://smartachievers.online/question-details/let-s-k-k-1-2-100-denote-the-sum-of-the-infinite-geometric-series-whose-first-term-is-k-1-k-and-the-common-ratio-is-1-k-then-the-value-of-100-2-100-k-1-100-k-2-3-k-1-s-k-is-2010https://smartachievers.online/question-details/let-a-1-a-2-a-3-a-11-be-real-numbers-satisfying-a-1-15-27-2-a-2-0-and-a-k-2-a-k-1-a-k-2-for-k-3-4-11-if-a-1-2-a-2-2-a-11-2-11-90-then-the-value-of-a-1-a-2-a-11-11-is-equal-to-2010https://smartachievers.online/question-details/let-denote-the-set-of-all-real-numbers-let-f-be-a-function-such-that-f-x-0-for-all-x-and-f-x-y-f-x-f-y-for-all-x-y-let-the-real-numbers-a-1-a-2-a-50-be-in-an-arithmetic-progression-if-f-a-31-64-f-a-25-and-i-1-50-f-a-i-3-2-25-1-then-the-value-of-i-6-30-f-ahttps://smartachievers.online/question-details/let-l-1-l-2-l-100-be-consecutive-terms-of-an-arithmetic-progression-with-common-difference-d-1-and-let-w-1-w-2-w-100-be-consecutive-terms-of-another-arithmetic-progression-with-common-difference-d-2-where-d-1-d-2-10-for-each-i-1-2-100-let-r-i-be-a-rectanghttps://smartachievers.online/question-details/let-ap-a-d-denote-the-set-of-all-the-terms-of-an-infinite-arithmetic-progression-with-first-term-a-and-common-difference-d-0-if-ap-1-3-ap-2-5-ap-3-7-ap-a-d-then-a-d-equals-______-2019https://smartachievers.online/question-details/let-x-be-the-set-consisting-of-the-first-2018-terms-of-the-arithmetic-progression-1-6-11-and-y-be-the-set-consisting-of-the-first-2018-terms-of-the-arithmetic-progression-9-16-23-then-the-number-of-elements-in-the-set-x-y-is-_______-2018https://smartachievers.online/question-details/the-sides-of-a-right-angled-triangle-are-in-arithmetic-progression-if-the-triangle-has-area-24-then-what-is-the-length-of-its-smallest-side-2018https://smartachievers.online/question-details/let-a-1-a-2-a-3-be-an-arithmetic-progression-with-a-1-7-and-common-difference-8-let-t-1-t-2-t-3-be-such-that-t-1-3-and-t-n-1-t-n-a-n-for-n-1-then-which-of-the-following-isare-true-2022https://smartachievers.online/question-details/let-s-n-k-1-4-n-1-k-k-1-2-k-2-then-s-n-can-take-values-2013https://smartachievers.online/question-details/let-v-r-denote-the-sum-of-first-r-terms-of-an-arithmetic-progression-ap-whose-first-term-is-r-and-the-common-difference-is-2-r-1-let-t-r-v-r-1-v-r-2-and-q-r-t-r-1-t-r-for-r-1-2-q-the-sum-v-1-v-2-v-n-is-2007https://smartachievers.online/question-details/let-v-r-denote-the-sum-of-first-r-terms-of-an-arithmetic-progression-ap-whose-first-term-is-r-and-the-common-difference-is-2-r-1-let-t-r-v-r-1-v-r-2-and-q-r-t-r-1-t-r-for-r-1-2-q-t-r-is-always-2007https://smartachievers.online/question-details/let-v-r-denote-the-sum-of-first-r-terms-of-an-arithmetic-progression-ap-whose-first-term-is-r-and-the-common-difference-is-2-r-1-let-t-r-v-r-1-v-r-2-and-q-r-t-r-1-t-r-for-r-1-2-q-which-one-of-the-following-is-a-correct-statement-2007https://smartachievers.online/question-details/in-the-quadratic-equation-a-x-2-b-x-c-0-b-2-4-a-c-and-2-2-3-3-are-in-gp-where-are-the-roots-of-a-x-2-b-x-c-0-then-2005https://smartachievers.online/question-details/an-infinite-gp-has-first-term-x-and-sum-5-then-x-belongs-to-2004https://smartachievers.online/question-details/suppose-a-b-c-are-in-ap-and-a-2-b-2-c-2-are-in-gp-if-a-b-c-and-a-b-c-3-2-then-the-value-of-a-is-2002https://smartachievers.online/question-details/let-be-the-roots-of-x-2-x-p-0-and-be-the-roots-of-x-2-4-x-q-0-if-are-in-gp-then-the-integral-values-of-p-and-q-respectively-are-2001https://smartachievers.online/question-details/consider-an-infinite-geometric-series-with-first-term-and-common-ratio-if-its-sum-is-4-and-the-second-term-is-then-2000https://smartachievers.online/question-details/let-a-1-a-2-a-3-be-a-sequence-of-positive-integers-in-arithmetic-progression-with-common-difference-2-also-let-b-1-b-2-b-3-be-a-sequence-of-positive-integers-in-geometric-progression-with-common-ratio-2-if-a-1-b-1-c-then-the-number-of-all-possible-values-https://smartachievers.online/question-details/let-a-1-a-2-a-3-be-in-harmonic-progression-with-a-1-5-and-a-20-25-the-least-positive-integer-n-for-which-a-n-0-is-2012https://smartachievers.online/question-details/let-the-positive-numbers-a-b-c-d-be-in-ap-then-a-b-c-a-b-d-a-c-d-b-c-d-are-2001https://smartachievers.online/question-details/let-m-be-the-minimum-possible-value-of-log-3-3-y-1-3-y-2-3-y-3-where-y-1-y-2-y-3-are-real-numbers-for-which-y-1-y-2-y-3-9-let-m-be-the-maximum-possible-value-of-log-3-x-1-log-3-x-2-log-3-x-3-where-x-1-x-2-x-3-are-positive-real-numbers-for-which-x-1-x-2-x-https://smartachievers.online/question-details/a-straight-line-through-the-vertex-p-of-a-triangle-pqr-intersects-the-side-qr-at-the-point-s-and-the-circumcircle-of-the-triangle-pqr-at-the-point-t-if-s-is-not-the-centre-of-the-circumcircle-then-2008https://smartachievers.online/question-details/let-a-1-g-1-h-1-denote-the-arithmetic-geometric-and-harmonic-means-respectively-of-two-distinct-positive-numbers-for-n-2-let-a-n-1-and-h-n-1-have-arithmetic-geometric-and-harmonic-means-as-a-n-g-n-h-n-respectively-q-which-one-of-the-following-statements-ihttps://smartachievers.online/question-details/let-denote-the-arithmetic-geometric-and-harmonic-means-respectively-of-two-distinct-positive-numbers-for-let-and-have-arithmetic-geometric-and-harmonic-means-as-respectively-q-which-one-of-the-following-statements-is-correct-2007https://smartachievers.online/question-details/q-which-one-of-the-following-statements-is-correct-let-denote-the-arithmetic-geometric-and-harmonic-means-respectively-of-two-distinct-positive-numbers-for-let-and-have-arithmetic-geometric-and-harmonic-means-as-respectively-2007https://smartachievers.online/question-details/suppose-four-distinct-positive-numbers-a-1-a-2-a-3-a-4-are-in-gp-let-b-1-a-1-b-2-b-1-a-2-b-3-b-2-a-3-and-b-4-b-3-a-4-statement-1-the-numbers-b-1-b-2-b-3-b-4-are-neither-in-ap-nor-in-gp-statement-2-the-numbers-b-1-b-2-b-3-b-4-are-in-hp-2008https://smartachievers.online/question-details/let-75-57-r-denote-the-r-2-digit-number-where-the-first-and-the-last-digits-are-7-and-the-remaining-r-digits-are-5-consider-the-sum-s-77-757-7557-75-57-98-if-s-75-57-99-m-n-where-m-and-n-are-natural-numbers-less-than-3000-then-the-value-of-m-n-is-2023https://smartachievers.online/question-details/let-and-be-the-roots-of-x-2-x-1-0-with-for-all-positive-integers-n-define-a-n-n-n-n1-b-1-1-and-b-n-a-n-1-a-n-1-n-2-then-which-of-the-following-options-isare-correct-2019https://smartachievers.online/question-details/the-work-done-on-a-particle-of-mass-m-by-a-force-k-x-x-2-y-2-3-2-i-y-x-2-y-2-3-2-j-k-being-a-constant-of-appropriate-dimensions-when-the-particle-is-taken-from-the-point-a-0-to-the-point-0-a-along-a-circular-path-of-radius-a-about-the-origin-in-the-x-y-plhttps://smartachievers.online/question-details/if-w-1-w-2-and-w-3-represent-the-work-done-in-moving-a-particle-from-a-to-b-along-three-different-paths-1-2-a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ant-is-the-correct-statements-is-are-2013https://smartachievers.online/question-details/let-o0-0-p3-4-q6-0-be-the-vertices-of-the-triangle-opq-the-point-r-inside-the-triangle-opq-is-such-that-the-triangles-opr-pqr-oqr-are-of-equal-area-the-coordinates-of-r-are-2007https://smartachievers.online/question-details/area-of-the-triangle-formed-by-the-line-and-angle-bisectors-of-the-pair-of-straight-lines-is-2004https://smartachievers.online/question-details/orthocentre-of-triangle-with-vertices-0-0-3-4-and-4-0-is-2003https://smartachievers.online/question-details/the-number-of-integral-points-integral-point-means-both-the-coordinates-should-be-integer-exactly-in-the-interior-of-the-triangle-with-vertices-0-0-0-21-and-21-0-is-2003https://smartachievers.online/question-details/a-straight-line-through-the-origin-o-meets-the-parallel-lines-and-at-points-and-respectively-then-the-point-o-divides-the-segment-pq-in-the-ratio-2002https://smartachievers.online/question-details/area-of-the-parallelogram-formed-by-the-lines-y-m-x-y-m-x-1-y-n-x-and-y-n-x-1-equals-2001https://smartachievers.online/question-details/the-number-of-integer-values-of-m-for-which-the-x-coordinate-of-the-point-of-intersection-of-the-lines-3-x-4-y-9-and-y-m-x-1-is-also-an-integer-is-2001https://smartachievers.online/question-details/the-incentre-of-the-triangle-with-vertices-1-3-0-0-and-2-0-is-2000https://smartachievers.online/question-details/a-straight-line-l-through-the-point-3-2-is-inclined-at-an-angle-60-to-the-line-3-x-y-1-if-l-also-intersects-the-x-axis-then-the-equation-of-l-is-2011https://smartachievers.online/question-details/let-p-s-be-the-median-of-the-triangle-with-vertices-p-2-2-q-6-1-and-r-7-3-the-equation-of-the-line-passing-through-1-1-and-parallel-to-p-s-is-2000https://smartachievers.online/question-details/let-p-1-0-q-0-0-and-r-3-3-3-be-three-points-then-the-equation-of-the-bisector-of-the-angle-p-q-r-is-2002https://smartachievers.online/question-details/let-0-2-be-a-fixed-angle-if-p-cos-sin-and-q-cos-sin-then-q-is-obtained-from-p-by-2002https://smartachievers.online/question-details/for-a-point-in-the-plane-let-and-be-the-distance-of-the-point-from-the-lines-and-respectively-the-area-of-the-region-consisting-of-all-points-lying-in-the-first-quadrant-of-the-plane-and-satisfying-is-2014https://smartachievers.online/question-details/let-the-perpendicular-bisector-of-r-s-meet-c-at-two-distinct-points-r-and-s-let-d-be-the-square-of-the-distance-between-r-and-s-q-the-value-of-2-is-2021https://smartachievers.online/question-details/the-value-of-d-isfor-a-fixed-constant-let-be-the-locus-of-a-point-such-that-the-product-of-the-distance-of-from-and-the-distance-of-2021https://smartachievers.online/question-details/for-a-b-c-0-the-distance-between-1-1-and-the-point-of-intersection-of-the-lines-a-x-b-y-c-0-and-b-x-a-y-c-0-is-less-than-2-2-then-2013https://smartachievers.online/question-details/lines-and-intersect-the-line-at-and-respectively-the-bisector-of-the-acute-angle-between-and-intersects-at-statement-1-the-ratio-equals-statement-2-in-any-triangle-bisector-of-an-angle-divides-the-triangle-into-two-similar-triangles-2007https://smartachievers.online/question-details/consider-a-triangle-whose-two-sides-lie-on-the-x-axis-and-the-line-x-y-1-0-if-the-orthocenter-of-is-1-1-then-the-equation-of-the-circle-passing-through-the-vertices-of-the-triangle-is-2021https://smartachievers.online/question-details/a-line-intersects-the-circle-at-the-points-p-and-q-if-the-midpoint-of-the-line-segment-pq-has-coordinate-then-which-one-of-the-following-options-is-correct-2019https://smartachievers.online/question-details/the-circle-passing-through-the-point-and-touching-the-axis-at-0-2-also-passes-through-the-point-2011https://smartachievers.online/question-details/tangents-drawn-from-the-point-p1-8-to-the-circle-touch-the-circle-at-the-points-a-and-b-the-equation-of-the-circumcircle-of-the-triangle-is-2009https://smartachievers.online/question-details/if-one-of-the-diameters-of-the-circle-is-a-chord-to-the-circle-with-centre-2-1-then-the-radius-of-the-circle-is-2004https://smartachievers.online/question-details/the-common-tangents-to-the-circle-x-2-y-2-2-and-the-parabola-y-2-8-x-touch-the-circle-at-the-points-p-q-and-the-parabola-at-the-points-r-s-then-the-area-of-the-quadrilateral-p-q-r-s-is-2014https://smartachievers.online/question-details/a-circle-is-given-by-x-2-y-1-2-1-another-circle-c-touches-it-externally-and-also-the-x-axis-then-the-locus-of-its-centre-is-2005https://smartachievers.online/question-details/the-centre-of-circle-inscribed-in-square-formed-by-the-lines-x-2-8-x-12-0-and-y-2-14-y-45-0-is-2003https://smartachievers.online/question-details/if-the-tangent-at-the-point-p-on-the-circle-x-2-y-2-6-x-6-y-2-meets-a-straight-line-5-x-2-y-6-0-at-a-point-q-on-the-y-axis-then-the-length-of-p-q-is-2002https://smartachievers.online/question-details/let-p-q-and-r-s-be-tangents-at-the-extremities-of-the-diameter-p-r-of-a-circle-of-radius-r-if-p-s-and-r-q-intersect-at-a-point-x-on-the-circumference-of-the-circle-then-2-r-equals-2001https://smartachievers.online/question-details/let-a-b-be-a-chord-of-the-circle-x-2-y-2-r-2-subtending-a-right-angle-at-the-centre-then-the-locus-of-the-centroid-of-the-triangle-p-a-b-as-p-moves-on-the-circle-is-2001https://smartachievers.online/question-details/if-the-circles-x-2-y-2-2-x-2-k-y-6-0-x-2-y-2-2-k-y-k-0-intersect-orthogonally-then-k-is-2000https://smartachievers.online/question-details/the-triangle-p-q-r-is-inscribed-in-the-circle-x-2-y-2-25-if-q-and-r-have-co-ordinates-3-4-and-4-3-respectively-then-q-p-r-is-equal-to-2000https://smartachievers.online/question-details/let-be-the-vertices-of-a-regular-octagon-that-lie-on-a-circle-of-radius-2-let-pbe-a-point-on-the-circle-and-let-denote-the-distance-between-the-points-pand-for-if-pvaries-over-the-circle-then-the-maximum-value-of-the-product-is-2023https://smartachievers.online/question-details/let-be-the-circle-of-radius-1-with-center-at-the-origin-let-be-the-circle-of-radius-with-center-at-the-point-a-4-1-where-two-distinct-common-tangents-pq-and-st-of-and-are-drawn-2023https://smartachievers.online/question-details/let-be-the-centre-of-the-circle-where-suppose-is-a-chord-of-this-circle-and-the-equation-of-the-line-passing-through-p-and-q-is-if-the-centre-of-the-circumcircle-of-the-triangle-opq-lies-on-the-line-then-the-value-of-is-_____-2020https://smartachievers.online/question-details/let-the-point-b-be-the-reflection-of-the-point-a2-3-with-respect-to-the-line-let-and-be-circles-of-radii-2-and-1-with-centers-a-and-b-respectively-let-t-be-a-common-tangent-to-the-circles-and-such-that-both-the-circles-are-on-the-same-side-of-t-2019https://smartachievers.online/question-details/for-how-many-values-of-the-circle-and-the-coordinate-axes-have-exactly-three-common-points-2017https://smartachievers.online/question-details/the-straight-line-2-x-3-y-1-divides-the-circular-region-x-2-y-2-6-into-two-parts-if-s-2-3-4-5-2-3-4-1-4-1-4-1-8-1-4-then-the-number-of-pointss-in-s-lying-inside-the-smaller-part-is-2011https://smartachievers.online/question-details/the-centres-of-two-circles-and-each-of-unit-radius-are-at-a-distance-of-6-units-from-each-other-let-p-be-the-mid-point-of-the-line-segment-joining-the-centres-of-and-and-be-a-circle-touching-circles-and-externally-if-a-common-tangent-to-and-passing-throughttps://smartachievers.online/question-details/let-a-b-c-be-the-triangle-with-a-b-1-a-c-3-and-b-a-c-2-if-a-circle-of-radius-r-0-touches-the-sides-a-b-a-c-and-also-touches-internally-the-circumcircle-of-the-triangle-a-b-c-then-the-value-of-r-is-_______-2022https://smartachievers.online/question-details/let-be-a-circle-of-radius-let-be-circles-of-equal-radius-suppose-each-of-the-circles-touches-the-circle-externally-also-for-the-circle-touches-externally-and-touches-externally-then-which-of-the-following-statements-isare-true-2022https://smartachievers.online/question-details/for-any-complex-number-let-where-let-and-be-real-numbers-such-that-for-all-complex-numbers-satisfying-the-ordered-pair-lies-on-the-circle-then-which-of-the-following-statements-is-are-true-2021https://smartachievers.online/question-details/a-circle-s-passes-through-the-point-0-1-and-is-orthogonal-to-the-circles-x-1-2-y-2-16-and-x-2-y-2-1-then-2014https://smartachievers.online/question-details/circles-touching-axis-at-a-distance-3-from-the-origin-and-having-an-intercept-of-length-on-axis-is-are-2013https://smartachievers.online/question-details/let-rs-be-the-diameter-of-the-circle-where-is-the-point-1-0-let-pbe-a-variable-point-other-than-rand-s-on-the-circle-and-tangents-to-the-circle-at-sand-pmeet-at-the-point-q-the-normal-to-the-circle-at-pintersects-a-line-drawn-through-qparallel-to-rsat-poihttps://smartachievers.online/question-details/let-the-straight-line-touch-a-circle-with-center-and-radius-at-a-point-let-be-the-point-on-the-circle-such-that-the-line-segment-is-a-diameter-of-the-circle-let-2024https://smartachievers.online/question-details/which-of-the-following-is-the-only-correct-combination-2019https://smartachievers.online/question-details/which-of-the-following-is-the-only-incorrect-combination-2019https://smartachievers.online/question-details/consider-with-let-be-the-number-of-all-those-circles-that-are-inside-let-be-the-maximum-possible-number-of-circles-among-these-circles-such-that-no-two-circles-intersect-then-2021https://smartachievers.online/question-details/consider-m-with-r-2-199-1-2-2-198-the-number-of-all-those-circles-d-n-that-are-inside-m-is-2021https://smartachievers.online/question-details/let-and-be-the-chords-of-passing-through-the-point-and-parallel-to-the-axis-and-the-axis-respectively-let-be-the-chord-of-passing-through-and-having-slope-let-the-tangents-to-at-and-meet-at-the-tangents-to-at-and-meet-at-and-the-tangents-to-at-and-meet-athttps://smartachievers.online/question-details/let-pbe-a-point-on-the-circle-swith-both-coordinates-being-positive-let-the-tangent-to-sat-pintersect-the-coordinate-axes-at-the-points-mand-n-then-the-mid-point-of-the-line-segment-mnmust-lie-on-the-curve-2018https://smartachievers.online/question-details/a-possible-equation-of-is-a-tangent-is-drawn-to-the-circle-at-the-point-a-straight-line-perpendicular-to-is-a-tangent-to-the-circle-2012https://smartachievers.online/question-details/a-common-tangent-of-the-two-circles-is-a-tangent-is-drawn-to-the-circle-at-the-point-a-straight-line-perpendicular-to-is-a-tangent-to-the-circle-2012https://smartachievers.online/question-details/if-p-is-any-point-of-c-1-and-q-is-another-point-on-c-2-then-p-a-2-p-b-2-p-c-2-p-d-2-q-a-2-q-b-2-q-c-2-q-d-2-is-equal-to-2006https://smartachievers.online/question-details/if-a-circle-is-such-that-it-touches-the-line-and-the-circle-externally-such-that-both-the-circles-are-on-the-same-side-of-the-line-then-the-locus-of-centre-of-the-circle-is-2006https://smartachievers.online/question-details/a-line-through-is-drawn-parallel-to-point-moves-such-that-its-distances-from-the-line-and-the-vertex-are-equal-if-locus-of-cuts-at-and-and-at-then-area-of-is-2006https://smartachievers.online/question-details/consider-where-is-a-real-number-and-statement-1-if-line-is-a-chord-of-circle-then-line-is-not-always-a-diameter-of-circle-statement-2-if-line-is-a-diameter-of-circle-then-line-is-not-a-chord-of-circle-2008https://smartachievers.online/question-details/tangents-are-drawn-from-the-point-17-7-to-the-circle-statement-1-the-tangents-are-mutually-perpendicular-because-statement-2-the-locus-of-the-points-from-which-mutually-perpendicular-tangents-can-be-drawn-to-the-given-circle-is-2007https://smartachievers.online/question-details/let-be-a-point-on-the-parabola-where-the-normal-to-the-parabola-at-meets-the-axis-at-a-point-the-area-of-the-triangle-where-is-the-focus-of-the-parabola-is-120-if-the-slope-of-the-normal-and-are-both-positive-integers-then-the-pair-is-2023https://smartachievers.online/question-details/let-be-any-point-on-the-parabola-let-be-the-point-that-divides-the-line-segment-from-0-0-to-in-the-ratio-1-3-then-the-locus-of-is-2011https://smartachievers.online/question-details/the-axis-of-a-parabola-is-along-the-line-and-the-distances-of-its-vertex-and-focus-from-origin-are-and-respectively-if-vertex-and-focus-both-lie-in-the-first-quadrant-then-the-equation-of-the-parabola-is-2006https://smartachievers.online/question-details/tangent-to-the-curve-y-x-2-6-at-a-point-1-7-touches-the-circle-x-2-y-2-16-x-12-y-c-0-at-a-point-q-then-the-coordinates-of-q-are-2005https://smartachievers.online/question-details/the-angle-between-the-tangents-drawn-from-the-point-1-4-to-the-parabola-y24x-is-2004https://smartachievers.online/question-details/the-focal-chord-to-y-2-16-x-is-tangent-to-x-6-2-y-2-2-then-the-possible-values-of-the-slope-of-this-chord-are-2003https://smartachievers.online/question-details/the-locus-of-the-mid-point-of-the-line-segment-joining-the-focus-to-a-moving-point-on-the-parabola-y24ax-is-another-parabola-with-directrix-2002https://smartachievers.online/question-details/the-equation-of-the-directrix-of-the-parabola-y-2-4-y-4-x-2-0-is-2001https://smartachievers.online/question-details/the-equation-of-the-common-tangent-touching-the-circle-x-3-2-y-2-9-and-the-parabola-y-2-4-x-above-the-x-axis-is-2001https://smartachievers.online/question-details/if-the-line-x-1-0-is-the-directrix-of-the-parabola-y-2-k-x-8-0-then-one-of-the-values-of-k-is-2000https://smartachievers.online/question-details/if-x-y-k-is-normal-to-y-2-12-x-then-k-is-2000https://smartachievers.online/question-details/a-normal-with-slope-is-drawn-from-the-point-to-the-parabola-where-let-be-the-line-passing-through-and-parallel-to-the-directrix-of-the-parabola-suppose-that-intersects-the-parabola-at-two-points-a-and-b-let-denote-the-length-of-the-latus-rectum-and-denotehttps://smartachievers.online/question-details/let-the-curve-be-the-mirror-image-of-the-parabola-with-respect-to-the-line-if-a-and-b-are-the-points-of-intersection-of-with-the-line-then-the-distance-between-a-and-b-is-2015https://smartachievers.online/question-details/if-the-normals-of-the-parabola-y-2-4-x-drawn-at-the-end-points-of-its-latus-rectum-are-tangents-to-the-circle-x-3-2-y-2-2-r-2-then-the-value-of-r-2-is-2015https://smartachievers.online/question-details/consider-the-parabola-let-be-the-area-of-the-triangle-formed-by-the-end-points-of-its-latus-rectum-and-the-point-on-the-parabola-and-be-the-area-of-the-triangle-formed-by-drawing-tangents-at-and-at-the-end-points-of-the-latus-rectum-then-is-2011https://smartachievers.online/question-details/let-a-1-b-1-c-1-be-three-points-in-the-x-y-plane-suppose-that-the-lines-a-1-c-1-and-b-1-c-1-are-tangents-to-the-curve-y-2-8-x-at-a-1-and-b-1-respectively-if-o-0-0-and-c-1-4-0-then-which-of-the-following-statements-is-are-true-2024https://smartachievers.online/question-details/consider-the-parabola-let-be-the-focus-of-the-parabola-a-pair-of-tangents-drawn-to-the-parabola-from-the-point-meet-the-parabola-at-and-let-and-be-points-on-the-lines-and-respectively-such-that-and-then-which-of-the-following-isare-true-2022https://smartachievers.online/question-details/let-e-denote-the-parabola-y-2-8-x-let-p-2-4-and-let-q-and-q-be-two-distinct-points-on-e-such-that-the-lines-p-q-and-p-q-are-tangents-to-e-let-f-be-the-focus-of-e-then-which-of-the-following-statements-is-are-true-2021https://smartachievers.online/question-details/if-a-chord-which-is-not-a-tangent-of-the-parabola-y-2-16-x-has-the-equation-2-x-y-p-and-midpoint-h-k-then-which-of-the-following-is-are-possible-values-of-p-h-and-k-2017https://smartachievers.online/question-details/let-be-the-point-on-the-parabola-which-is-at-the-shortest-distance-from-the-center-of-the-circle-let-be-the-point-on-the-circle-dividing-the-line-segment-internally-then-2016https://smartachievers.online/question-details/the-circle-with-centre-at-o-intersects-the-parabola-at-the-point-p-in-the-first-quadrant-let-the-tangent-to-the-circle-at-p-touches-other-two-circles-and-at-and-respectively-suppose-and-have-equal-radii-and-centres-and-respectively-if-and-lie-on-the-axis-https://smartachievers.online/question-details/let-p-and-q-be-distinct-points-on-the-parabola-such-that-a-circle-with-pq-as-diameter-passes-through-the-vertex-o-of-the-parabola-if-p-lies-in-the-first-quadrant-and-the-area-of-the-triangle-is-then-which-of-the-following-is-are-the-coordinates-of-p-2015https://smartachievers.online/question-details/let-l-be-a-normal-to-the-parabola-y24x-if-l-passes-through-the-point-9-6-then-l-is-given-by-2011https://smartachievers.online/question-details/let-a-and-b-be-two-distinct-points-on-the-parabola-if-the-axis-of-the-parabola-touches-a-circle-of-radius-having-ab-as-its-diameter-then-the-slope-of-the-line-joining-a-and-b-can-be-2010https://smartachievers.online/question-details/the-tangent-and-the-normal-to-the-parabola-at-a-point-on-it-meet-its-axis-at-points-and-respectively-the-locus-of-the-centroid-of-the-triangle-is-a-parabola-whose-2009https://smartachievers.online/question-details/the-equations-of-the-common-tangents-to-the-parabola-y-x-2-and-y-x-2-2-isare-2006https://smartachievers.online/question-details/match-the-following-3-0-is-the-point-from-which-three-normals-are-drawn-to-the-parabola-y-2-4-x-which-meet-the-parabola-in-the-points-p-q-and-r-then-2006https://smartachievers.online/question-details/the-value-of-ris-let-a-r-s-t-be-nonzero-real-numbers-let-p-a-t-2-2-a-t-q-r-a-r-2-2-a-r-and-s-a-s-2-2-a-s-be-distinct-points-on-the-parabola-y-2-4-a-x-suppose-that-pq-is-the-focal-chord-and-lines-qr-and-pk-are-parallel-where-k-is-the-point-2-a-0-2014https://smartachievers.online/question-details/if-s-t-1-then-the-tangent-at-p-and-the-normal-at-s-to-the-parabola-meet-at-a-point-whose-ordinate-is-2014https://smartachievers.online/question-details/length-of-chord-pq-is-let-be-a-focal-chord-of-the-parabola-the-tangents-to-the-parabola-at-and-meet-at-a-point-lying-on-the-line-2013https://smartachievers.online/question-details/if-chord-p-q-subtends-an-angle-at-the-vertex-of-y-2-4-a-x-then-tan-let-p-q-be-a-focal-chord-of-the-parabola-y-2-4-a-x-the-tangents-to-the-parabola-at-p-and-q-meet-at-a-point-lying-on-the-line-y-2-x-a-a-0-2013https://smartachievers.online/question-details/the-ratio-of-the-areas-of-the-triangles-pqs-and-pqr-is-2007https://smartachievers.online/question-details/the-radius-of-the-circumcircle-of-the-triangle-prsis-consider-the-circle-and-the-parabola-they-intersect-at-p-and-q-in-the-first-and-the-fourth-quadrants-respectively-2007https://smartachievers.online/question-details/the-radius-of-the-incircle-of-the-triangle-pqr-is-tangents-to-the-circle-at-p-and-q-intersect-the-axis-at-r-and-tangents-to-the-parabola-at-p-and-q-intersect-the-axis-at-s-2007https://smartachievers.online/question-details/statement-1-the-curve-y-x-2-2-x-1-is-symmetric-with-respect-to-the-line-x-1-because-statement-2-a-parabola-is-symmetric-about-its-axis-2007https://smartachievers.online/question-details/let-denote-the-locus-of-the-point-of-intersection-of-the-pair-of-lines-where-varies-over-the-set-of-non-zero-real-numbers-let-be-the-tangent-to-passing-through-the-points-and-and-parallel-to-the-line-then-the-value-of-is-2025https://smartachievers.online/question-details/consider-the-ellipse-let-be-a-point-in-the-first-quadrant-such-that-two-tangents-are-drawn-from-to-the-ellipse-of-which-one-meets-the-ellipse-at-one-end-point-of-the-minor-axis-and-the-other-meets-the-ellipse-at-a-point-in-the-fourth-quadrant-let-be-the-vhttps://smartachievers.online/question-details/the-ellipse-is-inscribed-in-a-rectangle-whose-sides-are-parallel-to-the-coordinate-axes-another-ellipse-passing-through-the-point-0-4-circumscribes-the-rectangle-the-eccentricity-of-the-ellipse-is-2012https://smartachievers.online/question-details/the-normal-at-a-point-on-the-ellipse-meets-the-axis-at-if-is-the-midpoint-of-the-line-segment-then-the-locus-of-intersects-the-latus-rectums-of-the-given-ellipse-at-the-points-2009https://smartachievers.online/question-details/the-line-passing-through-the-extremity-of-the-major-axis-and-extremity-of-the-minor-axis-of-the-ellipse-meets-its-auxiliary-circle-at-the-point-then-the-area-of-the-triangle-with-vertices-at-and-the-origin-is-2009https://smartachievers.online/question-details/the-minimum-area-of-triangle-formed-by-the-tangent-to-the-ellipse-x-2-a-2-y-2-b-2-1-and-coordinate-axes-is-2005https://smartachievers.online/question-details/if-tangents-are-drawn-to-the-ellipse-then-the-locus-of-the-mid-point-of-the-intercept-made-by-the-tangents-between-the-coordinate-axes-is-2004https://smartachievers.online/question-details/the-area-of-the-quadrilateral-formed-by-the-tangents-at-the-end-points-of-latus-rectum-to-the-ellipse-x-2-9-y-2-5-1-is-2003https://smartachievers.online/question-details/suppose-that-the-foci-of-the-ellipse-are-and-where-and-let-and-be-two-parabolas-with-a-common-vertex-at-0-0and-with-foci-at-and-respectively-let-be-a-tangent-to-which-passes-through-and-be-a-tangent-to-which-passes-through-if-is-the-slope-of-and-is-the-slhttps://smartachievers.online/question-details/a-vertical-line-passing-through-the-point-h-0-intersects-the-ellipse-x-2-4-y-2-3-1-at-the-points-p-and-q-let-the-tangents-to-the-ellipse-at-p-and-q-meet-at-the-point-r-if-h-is-the-area-of-the-triangle-pqr-1-max-1-2-h-1-h-and-2-min-1-2-h-1-h-then-8-5-1-8-2https://smartachievers.online/question-details/let-be-the-ellipse-for-any-three-distinct-points-and-on-let-be-the-midpoint-of-the-line-segment-joining-and-and-be-the-midpoint-of-the-line-segment-joining-and-then-the-maximum-possible-value-of-the-distance-between-and-as-and-vary-on-is-______-2021https://smartachievers.online/question-details/let-and-be-two-distinct-points-on-the-ellipse-such-that-and-let-denote-the-circle-and-be-the-point-3-0-suppose-the-line-intersects-at-and-the-line-intersects-at-such-that-the-coordinates-of-and-are-positive-let-and-where-denotes-the-origin-0-0-let-denotehttps://smartachievers.online/question-details/let-t-1-and-t-2-be-two-distinct-common-tangents-to-the-ellipse-e-x-2-6-y-2-3-1-and-the-parabola-p-y-2-12-x-suppose-that-the-tangent-t-1-touches-p-and-e-at-the-points-a-1-and-a-2-respectively-and-the-tangent-t-2-touches-p-and-e-at-the-points-a-4-and-a-3-rehttps://smartachievers.online/question-details/consider-two-straight-lines-each-of-which-is-tangent-to-both-the-circle-and-the-parabola-let-these-lines-intersect-at-the-point-consider-the-ellipse-whose-center-is-at-the-origin-and-whose-semi-major-axis-is-if-the-length-of-the-minor-axis-of-this-ellipsehttps://smartachievers.online/question-details/let-and-be-two-ellipses-whose-centers-are-at-the-origin-the-major-axes-of-and-lie-along-the-axis-and-the-axis-respectively-let-be-the-circlethe-straight-linetouches-the-curves-and-at-and-respectively-suppose-thatif-and-are-the-eccentricities-of-and-respechttps://smartachievers.online/question-details/in-a-triangle-a-b-c-with-fixed-base-b-c-the-vertex-a-moves-such-that-cos-b-cos-c-4-sin-2-a-2-if-a-b-and-c-denote-the-lengths-of-the-sides-of-the-triangle-opposite-to-the-angles-a-b-and-c-respectively-then-2009https://smartachievers.online/question-details/let-p-x-1-y-1-and-q-x-2-y-2-where-y-1-0-y-2-0-be-the-end-points-of-the-latus-rectum-of-the-ellipse-x-2-4-y-2-4-the-equations-of-parabolas-with-latus-rectum-p-q-are-2008https://smartachievers.online/question-details/consider-the-ellipse-let-be-a-point-a-straight-line-drawn-through-parallel-to-the-axis-crosses-the-ellipse-and-its-auxiliary-circle-at-points-and-respectively-in-the-first-quadrant-the-tangent-to-the-ellipse-at-the-point-intersects-the-positive-axis-at-ahttps://smartachievers.online/question-details/the-orthocentre-of-the-triangle-f1mn-is-2016https://smartachievers.online/question-details/if-the-tangents-to-the-ellipse-at-m-and-n-meet-at-r-and-the-normal-to-the-parabola-at-m-meets-the-x-axis-at-q-then-the-ratio-of-area-of-the-triangle-mqr-to-area-of-the-quadrilateral-m-f-1-n-f-2-is-2016https://smartachievers.online/question-details/the-coordinates-of-a-and-b-are-tangents-are-drawn-from-the-point-p3-4-to-the-ellipse-touching-the-ellipse-at-points-a-and-b-2010https://smartachievers.online/question-details/the-orthocenter-of-the-triangle-pab-is-tangents-are-drawn-from-the-point-p3-4-to-the-ellipse-touching-the-ellipse-at-points-a-and-b-2010https://smartachievers.online/question-details/the-equation-of-the-locus-of-the-point-whose-distances-from-the-point-p-and-the-line-ab-are-equal-is-2010https://smartachievers.online/question-details/the-locus-of-the-orthocentre-of-the-triangle-formed-by-the-lines-1-p-x-p-y-p-1-p-0-1-q-x-q-y-q-1-q-0-and-y-0-where-p-q-is-2009https://smartachievers.online/question-details/consider-a-branch-of-the-hyperbola-x-2-2-y-2-2-2-x-4-2-y-6-0-with-vertex-at-the-point-a-let-b-be-one-of-the-end-points-of-its-latus-rectum-if-c-is-the-focus-of-the-hyperbola-nearest-to-the-point-a-then-the-area-of-the-triangle-abc-is-2008https://smartachievers.online/question-details/let-a-and-b-be-non-zero-real-numbers-then-the-equation-a-x-2-b-y-2-c-x-2-5-x-y-6-y-2-0-represents-2008https://smartachievers.online/question-details/a-hyperbola-having-the-transverse-axis-of-length-2-sin-is-confocal-with-the-ellipse-3-x-2-4-y-2-12-then-its-equation-is-2007https://smartachievers.online/question-details/if-the-line-2-x-6-y-2-touches-the-hyperbola-x-2-2-y-2-4-then-the-point-of-contact-is-2004https://smartachievers.online/question-details/for-hyperbola-x-2-cos-2-y-2-sin-2-1-which-of-the-following-remains-constant-with-change-in-2003https://smartachievers.online/question-details/the-equation-of-the-common-tangent-to-the-curves-y-2-8-x-and-x-y-1-is-2002https://smartachievers.online/question-details/consider-the-hyperbola-with-foci-at-and-where-lies-on-the-positive-axis-let-be-a-point-on-the-hyperbola-in-the-first-quadrant-let-with-the-straight-line-passing-through-the-point-and-having-the-same-slope-as-that-of-the-tangent-at-to-the-hyperbola-intersehttps://smartachievers.online/question-details/the-line-2-x-y-1-is-tangent-to-the-hyperbola-x-2-a-2-y-2-b-2-1-if-this-line-passes-through-the-point-of-intersection-of-the-nearest-directrix-and-the-x-axis-then-the-eccentricity-of-the-hyperbola-is-____-2010https://smartachievers.online/question-details/let-and-be-positive-real-numbers-such-that-andlet-be-a-point-in-the-first-quadrant-that-lies-on-the-hyperbolasuppose-the-tangent-to-the-hyperbola-at-passes-through-the-point-1-0-and-suppose-the-normal-to-the-hyperbola-at-cuts-off-equal-intercepts-on-the-chttps://smartachievers.online/question-details/if-2-x-y-1-0-is-a-tangent-to-the-hyperbola-x-2-a-2-y-2-16-1-then-which-of-the-following-cannot-be-sides-of-a-right-angled-triangle-2017https://smartachievers.online/question-details/consider-the-hyperbola-h-x-2-y-2-1-and-a-circle-s-with-center-n-x-2-0-suppose-that-h-and-s-touch-each-other-at-a-point-p-x-1-y-1-with-x-1-1-and-y-1-0-the-common-tangent-to-h-and-s-at-p-intersects-the-x-axis-at-point-m-if-l-m-is-the-centroid-of-the-trianglhttps://smartachievers.online/question-details/tangents-are-drawn-to-the-hyperbola-x-2-9-y-2-4-1-parallel-to-the-straight-line-2-x-y-1-the-points-of-contact-of-the-tangents-on-the-hyperbola-are-2012https://smartachievers.online/question-details/let-the-eccentricity-of-the-hyperbola-x-2-a-2-y-2-b-2-1-be-reciprocal-to-that-of-the-ellipse-x-2-4-y-2-4-if-the-hyperbola-passes-through-a-focus-of-the-ellipse-then-2011https://smartachievers.online/question-details/an-ellipse-intersects-the-hyperbola-2-x-2-2-y-2-1-orthogonally-the-eccentricity-of-the-ellipse-is-reciprocal-of-that-of-the-hyperbola-if-the-axes-of-the-ellipse-are-along-the-coordinate-axes-then-2009https://smartachievers.online/question-details/let-a-hyperbola-passes-through-the-focus-of-the-ellipse-the-transverse-and-conjugate-axes-of-this-hyperbola-coincide-with-the-major-and-minor-axes-of-the-given-ellipse-also-the-product-of-eccentricities-of-given-ellipse-and-hyperbola-is-1-then-2006https://smartachievers.online/question-details/let-h-x-2-a-2-y-2-b-2-1-where-a-b-0-be-a-hyperbola-in-the-x-y-plane-whose-conjugate-axis-l-m-subtends-an-angle-of-60-at-one-of-its-vertices-n-let-the-area-of-the-triangle-l-m-n-be-4-3-2018https://smartachievers.online/question-details/for-a-2-if-a-tangent-is-drawn-to-a-suitable-conic-column-1-at-the-point-of-contact-1-1-then-which-of-the-following-options-is-the-only-correct-combination-for-obtaining-its-equationhttps://smartachievers.online/question-details/if-a-tangent-to-a-suitable-conic-column-1-is-found-to-be-and-its-point-of-contact-is-8-16-then-which-of-the-following-options-is-the-only-correct-combination-2017https://smartachievers.online/question-details/the-tangent-to-a-suitable-conic-column-1-at-3-1-2-is-found-to-be-3-x-2-y-4-then-which-of-the-following-options-is-the-only-correct-combinationhttps://smartachievers.online/question-details/match-the-conics-in-column-i-with-the-statementsexpressions-in-column-iithe-locus-of-the-point-for-which-the-linetouches-the-circle-2009https://smartachievers.online/question-details/match-the-statements-in-column-i-with-the-properties-in-column-ii-and-indicate-your-answer-by-darkening-the-appropriate-bubbles-in-the-matrix-given-in-the-ors-2007https://smartachievers.online/question-details/equation-of-the-circle-with-ab-as-its-diameter-is-2010https://smartachievers.online/question-details/equation-of-a-common-tangent-with-positive-slope-to-the-circle-as-well-as-to-the-hyperbola-is-2010https://smartachievers.online/question-details/let-a-and-a-be-the-roots-of-the-equation-1-a-3-1-x-2-1-a-1-x-1-a-6-1-0-where-a-1-then-lim-a-0-a-and-lim-a-0-a-are-2012https://smartachievers.online/question-details/let-x-0-be-the-real-number-such-that-e-x-0-x-0-0-for-a-given-real-number-define-g-x-3-x-e-x-3-x-e-x-x-3-e-x-1-for-all-real-numbers-x-then-which-one-of-the-following-statements-is-true-2025https://smartachievers.online/question-details/if-lim-x-x-2-x-1-x-1-a-x-b-4-then-2012https://smartachievers.online/question-details/if-lim-x-0-a-n-n-x-tan-x-sin-n-x-x-2-0-where-n-is-a-nonzero-real-number-then-a-is-equal-to-2003https://smartachievers.online/question-details/lim-x-0-sin-cos-2-x-x-2-equals-2001https://smartachievers.online/question-details/the-value-of-the-limit-lim-x-2-4-2-sin-3-x-sin-x-2-sin-2-x-sin-3-x-2-cos-5-x-2-2-2-cos-2-x-cos-3-x-2-is-____________-2020https://smartachievers.online/question-details/let-m-and-n-be-two-positive-integers-greater-than-1-if-lim-0-e-cos-n-e-m-e-2-then-the-value-of-m-n-is-2015https://smartachievers.online/question-details/the-largest-value-of-non-negative-integer-a-for-which-lim-x-1-a-x-sin-x-1-a-x-sin-x-1-1-1-x-1-x-1-4-is-2014https://smartachievers.online/question-details/let-denote-the-base-of-the-natural-logarithm-the-value-of-the-real-number-for-which-the-right-hand-limit-is-equal-to-a-non-zero-real-number-is-________-2020https://smartachievers.online/question-details/let-f-x-1-x-1-1-x-1-x-cos-1-1-x-for-x-1-then-2017https://smartachievers.online/question-details/for-a-the-set-of-all-real-numbers-a-1-lim-n-1-a-2-a-n-a-n-1-a-1-n-a-1-n-a-2-n-a-n-1-60-then-a-2013https://smartachievers.online/question-details/let-f-r-r-be-a-function-we-say-that-f-has-property-1-if-lim-h-0-f-h-f-0-h-exists-and-is-finite-and-property-2-if-lim-h-0-f-h-f-0-h-2-exists-and-is-finite-then-which-of-the-following-options-isare-correct-2019https://smartachievers.online/question-details/let-k-if-lim-x-0-sin-sin-k-x-cos-x-x-2-x-e-6-then-the-value-of-k-is-2024https://smartachievers.online/question-details/if-lim-x-0-1-x-ln-1-b-2-1-x-2-b-sin-2-b-0-and-then-the-value-of-is-2011https://smartachievers.online/question-details/lim-x-4-2-sec-2-x-f-t-d-t-x-2-2-16-equals-2007https://smartachievers.online/question-details/the-value-of-lim-x-0-sin-x-1-x-1-x-sin-x-where-x-0-is-2006https://smartachievers.online/question-details/if-f-x-is-differentiable-and-strictly-increasing-function-then-the-value-of-lim-x-0-f-x-2-f-x-f-x-f-0-is-2004https://smartachievers.online/question-details/lim-h-0-f-2-h-2-h-2-f-2-f-h-h-2-1-f-1-given-that-f-2-6-and-f-1-4-2003https://smartachievers.online/question-details/let-f-r-r-be-such-that-f-1-3-and-f-1-6-then-lim-x-0-f-1-x-f-1-1-x-equals-2002https://smartachievers.online/question-details/the-integer-n-for-which-lim-x-0-cos-x-1-cos-x-e-x-x-n-is-a-finite-non-zero-number-is-2002https://smartachievers.online/question-details/if-lim-x-0-e-x-3-1-x-3-1-3-1-x-2-1-2-1-sin-x-x-sin-2-x-then-the-value-of-6-is-____________-2022https://smartachievers.online/question-details/let-be-such-that-lim-x-0-x-2-sin-x-x-sin-x-1-then-6-equals-______-2016https://smartachievers.online/question-details/let-a-be-a-positive-real-number-let-f-and-g-a-be-the-functions-defined-by-f-x-sin-x-12-and-g-x-2-log-e-x-log-e-e-x-e-then-the-value-of-lim-x-f-g-x-is-___________-2022https://smartachievers.online/question-details/let-s-be-the-set-of-all-such-that-lim-x-sin-x-2-log-e-x-sin-1-x-2-x-log-e-1-x-0-then-which-of-the-following-is-are-correct-2024https://smartachievers.online/question-details/for-the-given-frequency-distribution-let-denote-the-mean-deviation-about-the-mean-denote-the-mean-deviation-about-the-median-and-denote-the-variance-2025https://smartachievers.online/question-details/match-each-entry-in-list-i-to-the-correct-entries-in-list-ii-list-i-list-ii-pthe-mean-of-the-above-data-is125-qthe-median-of-the-above-data-is25-rthe-mean-deviation-about-the-meanof-the-above-data-is36-sthe-mean-deviation-about-the-medianof-the-above-datahttps://smartachievers.online/question-details/suppose-that-box-i-contains-8-red-3-blue-and-5-green-balls-box-ii-contains-24-red-9-blue-and-15-green-balls-2022https://smartachievers.online/question-details/if-three-distinct-numbers-are-chosen-randomly-from-the-first-100-natural-numbers-then-the-probability-that-all-three-of-them-are-divisible-by-both-2-and-3-is-2004https://smartachievers.online/question-details/if-a-person-is-chosen-randomly-from-these-900-persons-then-the-probability-that-the-person-has-at-most-one-symptom-is-____________-2022https://smartachievers.online/question-details/a-die-is-thrown-let-be-the-event-that-the-number-obtained-is-greater-than-3-let-be-the-event-that-the-number-obtained-is-less-than-5-then-is-2008https://smartachievers.online/question-details/if-p-b-3-4-p-a-b-c-1-3-and-p-a-b-c-1-3-then-p-b-c-is-2003https://smartachievers.online/question-details/a-number-is-chosen-at-random-from-the-set-1-2-3-2000-let-be-the-probability-that-the-chosen-number-is-a-multiple-of-3-or-a-multiple-of-7-then-the-value-of-500-is-________-2021https://smartachievers.online/question-details/let-and-be-three-events-having-probabilitiesand-let-for-any-event-if-denotes-its-complement-then-which-of-the-following-statements-isare-true-2021https://smartachievers.online/question-details/two-players-and-play-a-game-against-each-other-in-every-round-of-the-game-each-player-rolls-a-fair-die-once-where-the-six-faces-of-the-die-have-six-distinct-numbers-let-and-denote-the-readings-on-the-die-rolled-by-a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on-2014https://smartachievers.online/question-details/when-a-block-of-iron-floats-in-mercury-at-fraction-of-its-volume-is-submerged-while-at-the-temperature-a-fraction-is-seen-to-be-submerged-if-the-coefficient-of-volume-expansion-of-iron-is-and-that-of-mercury-is-then-the-ratio-can-be-expressed-as-2001https://smartachievers.online/question-details/steel-wire-of-length-l-at-c-is-suspended-from-the-ceiling-and-then-a-mass-m-is-hung-from-its-free-end-the-wire-is-cooled-down-from-c-to-c-to-regain-its-original-length-l-the-coefficient-of-linear-thermal-expansion-of-the-steel-is-c-youngs-modulus-of-steelhttps://smartachievers.online/question-details/a-water-cooler-of-storage-capacity-120-litres-can-cool-water-at-a-constant-rate-of-watts-in-a-closed-circulation-system-as-shown-schematically-in-the-figure-the-water-from-the-cooler-is-used-to-cool-an-external-device-that-generates-constantly-3-kw-of-heahttps://smartachievers.online/question-details/parallel-rays-of-light-of-intensity-are-incident-on-a-spherical-black-body-kept-in-surroundings-of-temperature-300-k-take-stefan-boltzmann-constant-and-assume-that-the-energy-exchange-with-the-surroundings-is-only-through-radiation-the-final-steady-state-https://smartachievers.online/question-details/three-rods-of-copper-brass-and-steel-are-welded-together-to-form-a-y-shaped-structure-area-of-cross-section-of-each-rod-4-end-of-copper-rod-is-maintained-at-100c-whereas-ends-of-brass-and-steel-are-kept-at-0c-lengths-of-the-copper-brass-and-steel-rods-arehttps://smartachievers.online/question-details/two-rectangular-blocks-having-identical-dimensions-can-be-arranged-either-in-configuration-i-or-in-configuration-ii-as-shown-in-the-figure-one-of-the-blocks-has-thermal-conductivity-and-the-other-2013https://smartachievers.online/question-details/assume-that-a-drop-of-liquid-evaporates-by-decrease-in-its-surface-energy-so-that-its-temperature-remains-unchanged-what-should-be-the-minimum-radius-of-the-drop-for-this-to-be-possible-the-surface-tension-is-density-of-liquid-is-and-is-its-latent-heat-ofhttps://smartachievers.online/question-details/water-of-volume-2-litre-in-a-container-is-heated-with-a-coil-of-1-kw-at-the-lid-of-the-container-is-open-and-energy-dissipates-at-rate-of-160-js-in-how-much-time-temperature-will-rise-from-to-given-specific-heat-of-water-is-2005https://smartachievers.online/question-details/calorie-is-defined-as-the-amount-of-heat-required-to-raise-temperature-of-1-g-of-water-by-and-it-is-defined-under-which-of-the-following-conditions-2005https://smartachievers.online/question-details/in-which-of-the-following-process-convection-does-not-take-place-primarily-2005https://smartachievers.online/question-details/variation-of-radiant-energy-emitted-by-sun-filament-of-tungsten-lamp-and-welding-arc-as-a-function-of-its-wavelength-is-shown-in-figure-which-of-the-following-option-is-the-correct-match-2005https://smartachievers.online/question-details/two-identical-rods-are-connected-between-two-containers-one-of-them-is-at-and-another-is-at-if-rods-are-connected-in-parallel-then-the-rate-of-melting-of-ice-is-gmsec-if-they-are-connected-in-series-then-the-rate-is-the-ratio-is-2004https://smartachievers.online/question-details/if-liquefied-oxygen-at-1-atmospheric-pressure-is-heated-from-50-k-to-300-k-by-supplying-heat-at-constant-rate-the-graph-of-temperature-vs-time-will-be-2004https://smartachievers.online/question-details/three-discs-a-b-and-c-having-radii-2-4-and-6-cm-respectively-are-coated-with-carbon-black-wavelength-for-maximum-intensity-for-the-three-discs-are-300-400-and-500-nm-respectively-if-and-are-power-emitted-by-a-b-and-c-respectively-then-2004https://smartachievers.online/question-details/2-kg-of-ice-at-is-mixed-with-5-kg-of-water-at-in-an-insulating-vessel-having-a-negligible-heat-capacity-calculate-the-final-mass-of-water-remaining-in-the-container-it-is-given-that-the-specific-heats-of-water-ice-are-1-kcalkg-and-05-kcalkg-while-the-latehttps://smartachievers.online/question-details/the-graph-shown-in-the-adjacent-diagram-represents-the-variation-of-temperature-of-two-bodies-and-having-same-surface-area-with-time-due-to-the-emission-of-radiation-find-the-correct-relation-between-the-emissivity-and-absorptivity-power-of-the-two-bodieshttps://smartachievers.online/question-details/an-ideal-black-body-at-room-temperature-is-thrown-into-a-furnace-it-is-observed-that-2002https://smartachievers.online/question-details/three-rods-made-of-same-material-and-having-the-same-cross-section-have-been-joined-as-shown-in-the-figure-each-rod-is-of-the-same-length-the-left-and-right-ends-are-kept-at-0c-and-90c-respectively-the-temperature-of-the-junction-of-the-three-rods-will-behttps://smartachievers.online/question-details/the-plots-of-intensity-versus-wavelength-for-three-black-bodies-at-temperature-and-respectively-are-as-shown-their-temperatures-are-such-that-2000https://smartachievers.online/question-details/a-block-of-ice-at-10c-is-slowly-heated-and-converte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-taken-from-an-initial-state-with-internal-energy-to-the-final-state-along-two-different-paths-and-as-schematically-shown-in-the-figure-2014https://smartachievers.online/question-details/an-ideal-monoatomic-gas-is-confined-in-a-horizontal-cylinder-by-a-spring-loaded-piston-as-shown-in-the-figure-initially-the-gas-is-at-temperature-pressure-and-volume-and-the-spring-is-in-its-relaxed-state-the-gas-is-then-heated-very-slowly-to-temperaturehttps://smartachievers.online/question-details/one-mole-of-a-monoatomic-gas-is-taken-through-a-cycle-abcda-as-shown-in-the-p-v-diagram-column-ii-gives-the-characteristics-involved-in-the-cycle-match-them-with-each-of-the-processes-given-in-column-i-2011https://smartachievers.online/question-details/column-i-contains-a-list-of-processes-involving-expansion-of-an-ideal-gas-match-this-with-column-ii-describing-the-thermodynamic-change-during-this-process-indicate-your-answer-by-darkening-the-appropriate-bubbles-of-the-4-4-matrix-given-in-the-ors-2008https://smartachievers.online/question-details/heat-given-to-process-is-positive-match-the-following-option-of-column-i-with-the-corresponding-option-of-column-ii-2006https://smartachievers.online/question-details/one-mole-of-an-ideal-gas-expands-adiabatically-from-an-initial-state-to-final-state-another-mole-of-the-same-gas-expands-isothermally-from-a-different-initial-state-to-the-same-final-state-the-ratio-of-the-specific-heats-at-constant-pressure-and-constanthttps://smartachievers.online/question-details/an-ideal-gas-is-initially-at-is-expanded-to-and-then-compressed-adiabatically-to-the-same-volume-and-pressure-if-is-the-net-work-done-by-the-gas-in-complete-process-which-of-the-following-is-true-2004https://smartachievers.online/question-details/the-pt-diagram-for-an-ideal-gas-is-shown-in-the-figure-where-ac-is-an-adiabatic-process-find-the-corresponding-pv-diagram-2003https://smartachievers.online/question-details/an-ideal-gas-is-taken-through-the-cycle-a-b-c-a-as-shown-in-the-figure-if-the-net-heat-supplied-to-the-gas-in-the-cycle-is-5-j-the-work-done-by-the-gas-in-the-process-c-a-is-2002https://smartachievers.online/question-details/p-v-plots-for-two-gases-during-adiabatic-processes-are-shown-in-the-figure-plots-1-and-2-should-correspond-respectively-to-2001https://smartachievers.online/question-details/a-monoatomic-ideal-gas-initially-at-temperature-is-enclosed-in-a-cylinder-fitted-with-a-frictionless-piston-the-gas-is-allowed-to-expand-adiabatically-to-a-temperature-by-releasing-the-piston-suddenly-if-and-are-the-length-of-the-gas-column-before-and-afthttps://smartachievers.online/question-details/one-mole-of-an-ideal-gas-undergoes-two-different-cyclic-processes-i-and-ii-as-shown-in-the-p-v-diagrams-below-in-cycle-i-processes-and-are-isobaric-isothermal-isobaric-and-isochoric-respectively-in-cycle-ii-processes-and-are-isothermal-isochoric-isobarichttps://smartachievers.online/question-details/an-incompressible-liquid-is-kept-in-a-container-having-a-weightless-piston-with-a-hole-a-capillary-tube-of-inner-radius-01-mm-is-dipped-vertically-into-the-liquid-through-the-airtight-piston-hole-as-shown-in-the-figure-2023https://smartachievers.online/question-details/a-diatomic-ideal-gas-is-compressed-adiabatically-to-of-its-initial-volume-if-the-initial-temperature-of-the-gas-is-in-kelvin-and-the-final-temperature-is-the-value-of-is-______-2010https://smartachievers.online/question-details/an-ideal-monoatomic-gas-of-moles-is-taken-through-a-cycle-consisting-of-consecutive-adiabatic-and-isobaric-quasi-static-processes-as-shown-in-the-schematic-diagram-the-volume-of-the-gas-at-and-points-are-and-respectively-if-the-absolute-temperature-of-thehttps://smartachievers.online/question-details/consider-one-mole-of-helium-gas-enclosed-in-a-container-at-initial-pressure-and-volume-it-expands-isothermally-to-volume-after-this-the-gas-expands-adiabatically-and-its-volume-becomes-the-work-done-by-the-gas-during-isothermal-and-adiabatic-expansion-prohttps://smartachievers.online/question-details/a-spherical-bubble-inside-water-has-radius-take-the-pressure-inside-the-bubble-and-the-water-pressure-to-be-the-bubble-now-gets-compressed-radially-in-an-adiabatic-manner-so-that-its-radius-becomes-for-the-magnitude-of-the-work-done-in-the-process-is-givehttps://smartachievers.online/question-details/an-ideal-gas-of-densityenters-a-chimney-of-height-at-the-rate-offrom-its-lower-end-and-escapes-through-the-upper-end-as-shown-in-the-figure-2022https://smartachievers.online/question-details/a-bubble-has-surface-tension-the-ideal-gas-inside-the-bubble-has-ratio-of-specific-heatsthe-bubble-is-exposed-to-the-atmosphere-and-it-always-retains-its-spherical-shape-2022https://smartachievers.online/question-details/in-the-given-diagram-a-monoatomic-gasis-first-compressed-adiabatically-from-state-to-state-then-it-expands-isothermally-from-state-to-state-which-of-the-following-statements-isare-correct-2022https://smartachievers.online/question-details/a-mixture-of-i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-using-a-cap-at-the-top-a-pressure-difference-develops-between-the-top-and-the-bottom-surfaces-of-the-cap-if-the-changes-in-the-temperature-and-density-of-the-hot-air-due-to-the-stoppage-of-air-flow-are-negligible-then-the-valuehttps://smartachievers.online/question-details/a-mixture-of-2-moles-of-helium-gas-atomic-mass-4-amu-and-1-mole-of-argon-gas-atomic-mass-40-amu-is-kept-at-300-k-in-a-container-the-ratio-of-the-rms-speeds-is-2012https://smartachievers.online/question-details/an-ideal-gas-is-in-thermodynamic-equilibrium-the-number-of-degrees-of-freedom-of-a-molecule-of-the-gas-is-the-internal-energy-of-one-mole-of-the-gas-is-and-the-speed-of-sound-in-the-gas-is-at-a-fixed-temperature-and-pressure-which-of-the-following-is-the-https://smartachievers.online/question-details/a-closed-container-contains-a-homogeneous-mixture-of-two-moles-of-an-ideal-monatomic-gas-and-one-mole-of-an-ideal-diatomic-gas-here-is-the-ratio-of-the-specific-heats-at-constant-pressure-and-constant-volume-of-an-ideal-gas-the-gas-mixture-does-a-work-of-https://smartachievers.online/question-details/cv-and-cp-denote-the-molar-specific-heat-capacities-of-a-gas-at-constant-volume-and-constant-pressure-respectively-then-2009https://smartachievers.online/question-details/a-container-of-fixed-volume-has-a-mixture-of-one-mole-of-hydrogen-and-one-mole-of-helium-in-equilibrium-at-temperature-assuming-the-gases-are-ideal-the-correct-statements-is-are-2015https://smartachievers.online/question-details/statement-1-the-total-translational-kinetic-energy-of-all-the-molecules-of-a-given-mass-of-an-ideal-gas-is-15-times-the-product-of-its-pressure-and-its-volume-2007https://smartachievers.online/question-details/two-moles-of-ideal-helium-gas-are-in-a-rubber-balloon-at-the-balloon-is-fully-expandable-and-can-be-assumed-to-require-no-energy-in-its-expansion-the-temperature-of-the-gas-in-the-balloon-is-slowly-changed-to-the-amount-of-heat-required-in-raising-the-temhttps://smartachievers.online/question-details/an-ideal-gas-is-expanding-such-that-pt2constant-the-coefficient-of-volume-expansion-of-the-gas-is-2008https://smartachievers.online/question-details/the-left-and-right-compartments-of-a-thermally-isolated-container-of-length-l-are-separated-by-a-thermally-conducting-movable-piston-of-area-a-the-left-and-right-compartments-are-filled-with-and-1-moles-of-an-ideal-gas-respectively-2025https://smartachievers.online/question-details/the-value-of-x-is-_____-a-soft-plastic-bottle-filled-with-water-of-density-carries-an-inverted-glass-test-tube-with-some-air-ideal-gas-trapped-as-shown-in-the-figure-2021https://smartachievers.online/question-details/the-value-of-y-is-_____-initially-the-bottle-is-sealed-at-atmospheric-pressureso-that-the-volume-of-the-trapped-air-iswhen-the-bottle-is-squeezed-from-outside-at-constant-temperature-the-pressure-inside-rises-and-the-volume-of-the-trapped-air-reduces-2021https://smartachievers.online/question-details/one-mole-of-a-monatomic-ideal-gas-undergoes-an-adiabatic-expansion-in-which-its-volume-becomes-eight-times-its-initial-value-if-the-initial-temperature-of-the-gas-is-and-the-universal-gas-constant-the-decrease-in-its-internal-energy-in-joule-is-________-2https://smartachievers.online/question-details/as-shown-schematically-in-the-figure-two-vessels-contain-water-solutions-at-temperature-of-potassium-permanganate-of-different-concentrations-and-molecules-per-unit-volume-withwhen-they-are-connected-by-a-tube-of-small-length-and-cross-sectional-area-starhttps://smartachievers.online/question-details/the-figure-below-shows-the-variation-of-specific-heat-capacity-c-of-a-solid-as-a-function-of-temperature-t-the-temperature-is-increased-continuously-from-0-to-500-k-at-a-constant-rate-ignoring-any-volume-change-the-following-statements-is-are-correct-to-ahttps://smartachievers.online/question-details/consider-the-partition-to-be-rigidly-fixed-so-that-it-does-not-move-when-equilibrium-is-achieved-the-final-temperature-of-the-gases-will-be-2014https://smartachievers.online/question-details/now-consider-the-partition-to-be-free-to-move-without-friction-so-that-the-pressure-of-gases-in-both-compartments-is-the-same-the-total-work-done-by-the-gases-till-the-time-they-achieve-equilibrium-will-be-2014https://smartachievers.online/question-details/as-the-bubble-moves-upwards-besides-the-buoyancy-force-the-following-forces-are-acting-on-it-2008https://smartachievers.online/question-details/when-the-gas-bubble-is-at-a-height-from-the-bottom-its-temperature-is-2008https://smartachievers.online/question-details/the-buoyancy-force-acting-on-the-gas-bubble-is-assume-r-is-the-universal-gas-constant-2008https://smartachievers.online/question-details/a-point-mass-is-subjected-to-two-simultaneous-sinusoidal-displacements-in-directionandadding-a-third-sinusoidal-displacementbrings-the-mass-to-a-complete-rest-the-values-of-b-and-are-2011https://smartachievers.online/question-details/the-x-t-graph-of-a-particle-undergoing-simple-harmonic-mot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etector-in-hz-is-__________-2023https://smartachievers.online/question-details/consider-both-sources-emitting-sound-when-is-at-r-and-approaches-the-detector-with-a-speed-4-the-beat-frequency-measured-by-the-detector-is-__________-hz-2023https://smartachievers.online/question-details/a-student-is-performing-an-experiment-using-a-resonance-column-and-a-tuning-fork-of-frequency-he-is-told-that-the-air-in-the-tube-has-been-replaced-by-another-gas-assume-that-the-column-remains-filled-with-the-gas-if-the-minimum-height-at-which-resonancehttps://smartachievers.online/question-details/in-the-experiment-for-the-determination-of-the-speed-of-sound-in-air-using-the-resonance-column-method-the-length-of-the-air-column-that-resonates-in-the-fundamental-mode-with-a-tuning-fork-is-01-m-when-this-length-is-changed-to-035-m-the-same-tuning-forkhttps://smartachievers.online/question-details/the-ends-of-a-stretched-wire-of-length-are-fixed-at-and-in-one-experiment-the-displacement-of-the-wire-is-and-energy-is-and-in-another-experiment-its-displacement-is-and-energy-is-then-2001https://smartachievers.online/question-details/two-pulses-in-a-stretched-string-whose-centers-are-initially-8-cm-apart-are-moving-towards-each-other-as-shown-in-the-figure-the-speed-of-each-pulse-is-2-cms-after-2-seconds-the-total-energy-of-the-pulses-will-be-2001https://smartachievers.online/question-details/an-audio-transmitter-t-and-a-receiver-r-are-hung-vertically-from-two-identical-massless-strings-of-length-8-m-with-their-pivots-well-separated-along-the-x-axis-they-are-pulled-from-the-equilibrium-position-in-opposite-directions-along-the-x-axis-by-a-smalhttps://smartachievers.online/question-details/a-source-approaching-with-speed-towards-the-open-end-of-a-stationary-pipe-of-length-is-emitting-a-sound-of-frequency-the-farther-end-of-the-pipe-is-closed-the-speed-of-sound-in-air-is-and-is-the-fundamental-frequency-of-the-pipe-for-which-of-the-followinghttps://smartachievers.online/question-details/two-loudspeakers-m-and-n-are-located-20-m-apart-and-emit-sound-at-frequencies-118-hz-and-121-hz-respectively-a-car-is-initially-at-a-point-p-1800-m-away-from-the-midpoint-q-of-the-line-mn-and-moves-towards-q-constantly-at-along-the-perpendicular-bisectorhttps://smartachievers.online/question-details/a-person-blows-into-the-open-end-of-a-long-pipe-as-a-result-a-high-pressure-pulse-of-air-travels-down-the-pipe-when-this-pulse-reaches-the-other-end-of-the-pipe-2012https://smartachievers.online/question-details/a-student-performed-the-experiment-to-measure-the-speed-of-sound-in-air-using-the-resonance-air-column-method-two-resonances-in-the-air-column-were-obtained-by-lowering-the-water-level-the-resonance-with-the-shorter-air-column-is-the-first-resonance-and-thttps://smartachievers.online/question-details/the-speed-of-sound-of-the-whistle-is-2007https://smartachievers.online/question-details/the-distribution-of-the-sound-intensity-of-the-whistle-as-observed-by-the-passengers-in-train-a-is-best-represented-by-2007https://smartachievers.online/question-details/the-spread-of-frequency-as-observed-by-the-passengers-in-train-b-is-2007https://smartachievers.online/question-details/find-the-number-of-times-intensity-is-maximum-in-time-interval-of-1-sec-2006https://smartachievers.online/question-details/the-wave-velocity-of-louder-sound-is-2006https://smartachievers.online/question-details/the-number-of-times-y-1-y-2-0-at-x-0-in-1-sec-is-2006https://smartachievers.online/question-details/consider-the-following-statements-a-does-not-have-a-proton-but-still-acts-as-an-acid-b-strong-acids-have-very-strong-conjugate-bases-c-stronger-acid-donates-a-proton-to-the-stronger-base-incorrect-statements-isarehttps://smartachievers.online/question-details/which-of-the-following-incorrectly-represent-the-acidic-strength-of-given-acidshttps://smartachievers.online/question-details/an-electron-practically-at-rest-is-initially-accelerated-through-a-potential-difference-of-100-volts-it-then-has-a-de-broglie-wavelength-it-then-gets-retarded-through-19-volts-and-then-has-a-wavelength-it-further-retardation-through-32-volts-changes-the-whttps://smartachievers.online/question-details/consider-the-following-equilibrium-at-300k-and-400k-with-their-equilibrium-constants-and-choose-the-correct-statement-reactions-300k-400khttps://smartachievers.online/question-details/the-solubilities-of-agcl-in-water-001m-001m-nacl-and-005m-are-denoted-by-and-respectively-which-of-the-following-relationships-is-correcthttps://smartachievers.online/question-details/in-which-of-the-following-reaction-the-underlined-substance-has-been-reducedhttps://smartachievers.online/question-details/a-sample-of-hydrate-of-barium-chloride-weighing-61-g-was-heated-until-all-the-water-of-hydration-was-removed-the-dried-sample-weighed-52-g-the-formula-of-the-hydrated-salt-is-atomic-mass-of-ba-137-amu-cl-355-amuhttps://smartachievers.online/question-details/which-of-the-following-reactions-has-a-positive-entropy-changehttps:/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ng-region-2013https://smartachievers.online/question-details/six-point-charges-are-kept-at-the-vertices-of-a-regular-hexagon-of-side-and-centre-as-shown-in-the-figure-given-that-which-of-the-following-statements-is-are-correct-2012https://smartachievers.online/question-details/which-of-the-following-statements-isare-correct-the-work-done-by-the-external-force-in-moving-2011https://smartachievers.online/question-details/a-spherical-metal-shell-a-of-radius-and-a-solid-metal-sphere-b-of-radius-are-kept-far-apart-and-each-is-given-charge-now-they-are-connected-by-a-thin-metal-wire-then-2011https://smartachievers.online/question-details/a-spherically-symmetric-charge-system-is-centered-at-the-origin-given-electric-potential-v-q-4-0-r-0-r-r-0-v-q-4-0-r-r-r-0-2006https://smartachievers.online/question-details/statement-1-for-practical-purposes-the-earth-is-used-as-a-reference-at-zero-potential-in-electrical-circuits-statement-2-the-electrical-potential-of-a-sphere-of-radius-r-with-charge-q-uniformly-distributed-on-the-surface-is-given-by-2008https://smartachievers.online/question-details/consider-a-system-of-three-charges-and-placed-at-points-and-respectively-as-shown-in-the-figure-take-to-be-the-centre-of-the-circle-of-radius-and-angle-2008https://smartachievers.online/question-details/positive-and-negative-point-charges-of-equal-magnitude-are-kept-at-and-respectively-the-work-done-by-the-electric-field-when-another-positive-point-charge-is-moved-from-to-is-2007https://smartachievers.online/question-details/two-equal-point-charges-are-fixed-at-and-on-the-axis-another-point-charge-is-placed-at-the-origin-the-change-in-the-electrical-potential-energy-of-when-it-is-displaced-by-a-small-distance-along-the-axis-is-approximately-proportional-to-2002https://smartachievers.online/question-details/three-charges-and-are-placed-at-the-vertices-of-a-right-angled-isosceles-triangle-as-shown-the-net-electrostatic-energy-of-the-configuration-is-zero-if-is-equal-to-2000https://smartachievers.online/question-details/a-point-charge-of-mass-is-suspended-vertically-by-a-string-of-length-a-point-dipole-of-dipole-moment-is-now-brought-towards-from-infinity-so-that-the-charge-moves-away-the-final-equilibrium-position-of-the-system-including-the-direction-of-the-dipole-the-https://smartachievers.online/question-details/a-positive-point-charge-of-is-kept-at-a-distance-of-20-cmfrom-the-center-of-a-neutral-conducting-sphere-of-radius-10-cm-the-sphere-is-then-grounded-and-the-charge-on-the-sphere-is-measured-2025https://smartachievers.online/question-details/a-container-has-a-base-of-and-height-50-cm-as-shown-in-the-figure-it-has-two-parallel-electrically-conducting-walls-each-of-area-the-remaining-walls-of-the-container-are-thin-and-non-conducting-the-container-is-being-filled-with-a-liquid-of-dielectric-conhttps://smartachievers.online/question-details/a-parallel-plate-capacitor-having-plates-of-area-and-plate-separation-has-capacitance-in-air-when-two-dielectrics-of-different-relative-permittivities-and-are-introduced-between-the-two-plates-as-shown-in-the-figure-the-capacitance-becomes-the-ratio-is-20https://smartachievers.online/question-details/in-the-given-circuit-charge-on-the-capacitor-changes-as-is-varied-from-to-as-a-function-of-is-given-properly-by-figures-are-drawn-schematically-and-are-not-to-scale-2015https://smartachievers.online/question-details/a-parallel-plate-capacitor-is-made-of-two-circular-plates-separated-by-a-distance-5-mm-and-with-a-dielectric-of-dielectric-constant-22-between-them-when-the-electric-field-in-the-dielectric-is-the-charge-density-of-the-positive-plate-will-be-close-to-2014https://smartachievers.online/question-details/in-the-given-circuit-a-charge-of-is-given-to-the-upper-plate-of-the-capacitor-then-in-the-steady-state-the-charge-on-the-upper-plate-of-the-capacitor-is-2012https://smartachievers.online/question-details/a-2-capacitor-is-charged-as-shown-in-the-figure-the-percentage-of-its-stored-energy-dissipated-after-the-switch-s-is-turned-to-position-2-is-2011https://smartachievers.online/question-details/a-parallel-plate-capacitor-with-plates-of-unit-area-and-separation-is-filled-with-a-liquid-of-dielectric-constant-the-level-of-liquid-is-initially-suppose-the-liquid-level-decreases-at-a-constant-speed-the-time-constant-as-a-function-of-time-is-2008https://smartachievers.online/question-details/two-identical-capacitors-have-the-same-capacitance-one-of-them-is-charged-to-potential-and-the-other-the-negative-ends-of-the-capacitors-are-connected-together-when-the-positive-ends-are-also-connected-the-decrease-in-energy-of-the-combined-system-is-2002https://smartachievers.online/question-details/consider-the-situation-shown-in-the-figure-the-capacitor-a-has-a-charge-on-it-whereas-b-is-uncharged-the-charge-appearing-on-the-capacitor-b-a-long-time-after-the-switch-is-closed-is-2001https://smartachievers.online/question-details/a-parallel-plate-capacitor-of-area-plate-separation-and-capacitance-is-filled-w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