Question

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): If the equation x2+ px+q=0 has rational roots and p and q are integers, then the roots are integers.
Reasons (R): A quadratic equation has rational roots if and only if its discriminant is a perfect square of a rational number.
In the light of the above Statements, choose the most appropriate answer from the options given below :

• A. Both (A) and (R) are correct and (R) is the correct explanation of (A)
• B. Both (A) and (R) are correct but (R) is NOT the correct explanation of (A)
• C. (A) is correct but (R) is not correct
• D. (A) is not correct but (R) is correct

Answer 1

Answer: (A)

Both (A) and (R) are correct and (R) is the correct explanation of (A)

Answer 2

The correct answer is(A): Both (A) and (R) are correct and (R) is the correct explanation of (A)