Let S be the set of all points in (−π,π)... | Differentiability

JEE-MAIN 2019

12-01-2019 S1

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?

Select the correct option:

(1) $\left\{-\frac{3 \pi}{4}, \frac{-\pi}{4}, \frac{3 \pi}{4}, \frac{\pi}{4}\right\}$

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

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

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

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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