JEE Main 2019 (12 January Morning Shift)

Question

Let $S$ be the set of all points in $(-\pi,\pi)$ at which the function $f(x)=\min\{\sin x,\cos x\}$ is not differentiable. Then $S$ is a subset of which of the following?

Accepted Answer

$\{-	frac{3\pi}{4},-	frac{\pi}{4},	frac{\pi}{4},	frac{3\pi}{4}\}$

Answer

$\{-	frac{\pi}{2},-	frac{\pi}{4},	frac{\pi}{4},	frac{\pi}{2}\}$

Answer

$\{-	frac{3\pi}{4},-	frac{\pi}{2},	frac{\pi}{2},	frac{3\pi}{4}\}$

Answer

$\{-	frac{\pi}{4},0,	frac{\pi}{4}\}$

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