the sum of the zeros of the quadratic polynomial x²

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Q.
Assertion (A): If the sum of the zeros of the quadratic polynomial x² - 2kx + 8 is 2 then value of k is 1.
Reason (R): Sum of zeros of a quadratic polynomial ax² + bx + c is -b/a.

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)

Given polynomial is x² - 2kx + 8.
Sum of zeros = -(-2k)/1 = 2k = 2 ⇒ k = 1.
Hence, Assertion (A) and Reason (R) both are true and Reason (R) is the correct explanation of Assertion (A).

Solution

Q.
Assertion (A): If the sum of the zeros of the quadratic polynomial x² - 2kx + 8 is 2 then value of k is 1.
Reason (R): Sum of zeros of a quadratic polynomial ax² + bx + c is -b/a.

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)

Given polynomial is x² - 2kx + 8.
Sum of zeros = -(-2k)/1 = 2k = 2 ⇒ k = 1.
Hence, Assertion (A) and Reason (R) both are true and Reason (R) is the correct explanation of Assertion (A).

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Solution

Q. Assertion (A): If the sum of the zeros of the quadratic polynomial x² - 2kx + 8 is 2 then value of k is 1. Reason (R): Sum of zeros of a quadratic polynomial ax² + bx + c is -b/a.

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) Given polynomial is x² - 2kx + 8. Sum of zeros = -(-2k)/1 = 2k = 2 ⇒ k = 1. Hence, Assertion (A) and Reason (R) both are true and Reason (R) is the correct explanation of Assertion (A).

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Q.
Assertion (A): If the sum of the zeros of the quadratic polynomial x² - 2kx + 8 is 2 then value of k is 1.
Reason (R): Sum of zeros of a quadratic polynomial ax² + bx + c is -b/a.

Ans.
(1)

Given polynomial is x² - 2kx + 8.
Sum of zeros = -(-2k)/1 = 2k = 2 ⇒ k = 1.
Hence, Assertion (A) and Reason (R) both are true and Reason (R) is the correct explanation of Assertion (A).