Let f(x) = sin x, g(x) = x. Statement 1: f(x) g(x) for x in (0, ) Statement 2: f(x) 1 for x in (0, ) but g(x) as x .

JEE Main 2012 Mathematics question

Let f(x) = sin x, g(x) = x. Statement 1: for x in Statement 2: for x in but as .

(1)Statement 1 is true, Statement 2 is false.
(2)Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.
(3)Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.Correct
(4)Statement 1 is false, Statement 2 is true.

Answer: (3)

has and , so sin x ≤ x for x > 0 — Statement 1 true. Statement 2 is true, but it only

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Question ID VK-103434