(A): The polynomial p(x) = x² + 3x +

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Q.
Assertion (A): If 2, 3 are the zeros of a quadratic polynomial, then the polynomial is x² - 5x + 6.
Reason (R): If α, β are the zeros of a quadratic polynomial, the polynomial is x² - (α + β)x + αβ.

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)

The polynomial having 2, 3 as zeros is x² - (2 + 3)x + 2×3 = x² - 5x + 6.
Hence, Assertion (A) and Reason (R) both are true and Reason (R) is the correct explanation of Assertion (A).

Solution

Q.
Assertion (A): If 2, 3 are the zeros of a quadratic polynomial, then the polynomial is x² - 5x + 6.
Reason (R): If α, β are the zeros of a quadratic polynomial, the polynomial is x² - (α + β)x + αβ.

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)

The polynomial having 2, 3 as zeros is x² - (2 + 3)x + 2×3 = x² - 5x + 6.
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 2, 3 are the zeros of a quadratic polynomial, then the polynomial is x² - 5x + 6. Reason (R): If α, β are the zeros of a quadratic polynomial, the polynomial is x² - (α + β)x + αβ.

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) The polynomial having 2, 3 as zeros is x² - (2 + 3)x + 2×3 = x² - 5x + 6. 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 2, 3 are the zeros of a quadratic polynomial, then the polynomial is x² - 5x + 6.
Reason (R): If α, β are the zeros of a quadratic polynomial, the polynomial is x² - (α + β)x + αβ.

Ans.
(1)

The polynomial having 2, 3 as zeros is x² - (2 + 3)x + 2×3 = x² - 5x + 6.
Hence, Assertion (A) and Reason (R) both are true and Reason (R) is the correct explanation of Assertion (A).