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Question: Answered & Verified by Expert
C is associated with
MathematicsContinuity and DifferentiabilityNDANDA 2010 (Phase 1)
Options:
  • A $1,4,6,7,9,11$
  • B $2,4,8,9$
  • C $1,4,6,7,9$
  • D None of these
Solution:
1026 Upvotes Verified Answer
The correct answer is: $1,4,6,7,9$
$\tan x$ is a periodic function with period $\pi$ and is
discontinuous at $x=\frac{m \pi}{2}$. Also, tan $x$ is not differentiable at every point on $(-\infty, \infty)$ and increases on $\left(0, \frac{\pi}{2}\right)$ and increases on $\left(\frac{\pi}{2}, \pi\right)$. Hence, option (c) is correct.

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