Let f(x) = 2 + x for all real x. STATEMENT-1: For each real t, there exists a point c in [t, t + ] such that f'(c) = 0. STATEMENT-2: f(t) = f(t + 2 ) for each real t.

JEE Advanced Mathematics question

Let for all real . STATEMENT-1: For each real , there exists a point in such that . STATEMENT-2: for each real .

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B)Statement-1 is True, Statement-2 is True; Statement-2 is *Not* a correct explanation for Statement-1Correct
(C)Statement-1 is True, Statement-2 is False
(D)Statement-1 is False, Statement-2 is True

Answer: (B)

, . Consecutive zeros are exactly apart, so every closed interval of length contains a multiple of . Statement-1 is **True**.

. Statement-2 is **True**.

Is Statement-2 the reason for Statement-1?

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Question ID VK-110647