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(Assertion - Reason based questions)
Assertion (A) : $(a + \sqrt{b}) \cdot (a - \sqrt{b})$ is a rational number, where $a$ and $b$ are positive integers.
Reason (R) : Product of two irrationals is always rational.
Assertion (A) : $(a + \sqrt{b}) \cdot (a - \sqrt{b})$ is a rational number, where $a$ and $b$ are positive integers.
Reason (R) : Product of two irrationals is always rational.
- (a)Both Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
- (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not correct explanation for Assertion (A).
- (c)Assertion (A) is true, but Reason (R) is false.
- (d)Assertion (A) is false, but Reason (R) is true.
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Ans: (C) Assertion (A) is true, but Reason (R) is false.