If 5 + ?7 is a root of a quadratic equation

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

Q.
Assertion (A): If $5 + \sqrt 7$ is a root of a quadratic equation with rational coefficients, then its other root is $5 - \sqrt 7$

Reason (R): Irrational roots of a quadratic equation with rational coefficients occur in conjugate pairs.

1 Both A and R are true, and R is the correct explanation of A.

2 Both A and R are true, but R is not the correct explanation of A

3 A is true, but R is false

4 A is false, but R is true.

Ans.
(1)

Since irrational roots of a quadratic equation always occur in conjugate pairs, both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

Solution

Q.
Assertion (A): If $5 + \sqrt 7$ is a root of a quadratic equation with rational coefficients, then its other root is $5 - \sqrt 7$

Reason (R): Irrational roots of a quadratic equation with rational coefficients occur in conjugate pairs.

1 Both A and R are true, and R is the correct explanation of A.

2 Both A and R are true, but R is not the correct explanation of A

3 A is true, but R is false

4 A is false, but R is true.

Ans.
(1)

Since irrational roots of a quadratic equation always occur in conjugate pairs, both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

Want Us to Email you About Special Offers & Updates?

Solution

Q. Assertion (A): If 5 + √7 is a root of a quadratic equation with rational coefficients, then its other root is 5 – √7 Reason (R): Irrational roots of a quadratic equation with rational coefficients occur in conjugate pairs.

1 Both A and R are true, and R is the correct explanation of A.

2 Both A and R are true, but R is not the correct explanation of A

3 A is true, but R is false

4 A is false, but R is true.

Ans. (1) Since irrational roots of a quadratic equation always occur in conjugate pairs, both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

Want Us to Email you About Special Offers & Updates?

Q.
Assertion (A): If $5 + \sqrt 7$ is a root of a quadratic equation with rational coefficients, then its other root is $5 - \sqrt 7$

Reason (R): Irrational roots of a quadratic equation with rational coefficients occur in conjugate pairs.

Ans.
(1)

Since irrational roots of a quadratic equation always occur in conjugate pairs, both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).