Assertion: If a function is continuous at a point, it must be differentiable at that point. Reason: The function f(x) = |x| is continuous at x = 0 but not differentiable at x = 0.

Assertion: If a function is continuous at a point, it must be differentiable at that point.
Reason: The function f(x) = |x| is continuous at x = 0 but not differentiable at x = 0.

• A. Both True, Reason is correct explanation
• B. Both True, Reason is not correct explanation
• C. Assertion is False, Reason is True
• D. Both are False

Answer: C) Assertion is False, Reason is True

Explanation: Continuity does not imply differentiability (e.g., sharp corners). Thus, the assertion is false. The reason provides a valid counterexample, so it is true.