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JEE Main 2019 · 12 Jan · Shift I

JEE Main 2019 Mathematics question on Limits Continuity and Differentiability

Let SS be the set of all points in (−π,π)(-\pi, \pi) at which the function, f(x)=min⁡{sin⁡x,cos⁡x}f(x) = \min\{\sin x, \cos x\} is not differentiable. Then, SS is a subset of which of the following?
  1. A.
    {−π4,0,π4}\left\{-\frac{\pi}{4}, 0, \frac{\pi}{4}\right\}
  2. B.
    {−π2,−π4,π4,π2}\left\{-\frac{\pi}{2}, -\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}\right\}
  3. C.
    {−3π4,−π4,3π4,π4}\left\{-\frac{3\pi}{4}, -\frac{\pi}{4}, \frac{3\pi}{4}, \frac{\pi}{4}\right\}
  4. D.
    {−3π4,−π2,π4,3π4}\left\{-\frac{3\pi}{4}, -\frac{\pi}{2}, \frac{\pi}{4}, \frac{3\pi}{4}\right\}
Show answer

Correct option: C

[JEE Main 2019 · 12 Jan · Shift I]

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