JEE Main 2012 Mathematics question

Let f(x) be an indefinite integral of . Statement 1: f(x) is a periodic function of period π. Statement 2: is a periodic function.

(1)Statement 1 is true, Statement 2 is false.
(2)Both the Statements are true, but Statement 2 is not the correct explanation of Statement 1.
(3)Both the Statements are true, and Statement 2 is correct explanation of Statement 1.
(4)Statement 1 is false, Statement 2 is true.Correct

Answer: (4)

Solution

, which has period 2π, not π (f(x + π) = −f(x) +

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Question ID VK-103437