Statement A (Assertion) : If 5+\sqrt{7} is a root of a quadratic equation with rational co-efficients, then its other root is 5-\sqrt{7}. Statement R (Reason) : Surd roots of a quadratic equation with rational co-efficients occur in conjugate pairs.

Correct Answer is : Both Assertion (A) and Reason (R) are true; and Reason (R) is the correct explanation of Assertion (A).

Both Assertion (A) and Reason (R) are true; and Reason (R) is the correct explanation of Assertion (A).

Both Assertion (A) and Reason (R) are true; but Reason (R) is not the correct explanation of Assertion (A).

Assertion (A) is true but Reason (R) is false.

Assertion (A) is false but Reason (R) is true.

CBSE Class 10 Math 2023 All India Set-1 Solved Paper

Question : 19 of 38

Marks: +1, -0

Statement A (Assertion) : If

5+{√{7}}

is a root of a quadratic equation with rational co-efficients, then its other root is

5-{√{7}}

.
Statement R (Reason) : Surd roots of a quadratic equation with rational co-efficients occur in conjugate pairs.

Both Assertion (A) and Reason (R) are true; and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true; but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.

Solution:

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