JEE PYQ: Continuity And Differentiability Question 36
Question 36 - 2019 (12 Jan Shift 2)
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?
(1) $\left{-\dfrac{\pi}{4}, 0, \dfrac{\pi}{4}\right}$
(2) $\left{-\dfrac{3\pi}{4}, -\dfrac{\pi}{4}, \dfrac{3\pi}{4}, \dfrac{\pi}{4}\right}$
(3) $\left{-\dfrac{\pi}{2}, -\dfrac{\pi}{4}, \dfrac{\pi}{4}, \dfrac{\pi}{2}\right}$
(4) $\left{-\dfrac{3\pi}{4}, -\dfrac{\pi}{2}, \dfrac{\pi}{2}, \dfrac{3\pi}{4}\right}$
BETA
