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JEE Math Practice Question

Let f(x) = min {1, 1 + x sin x}, 0 $$\le$$ x $$\le$$ 2$$\pi $$. If m is the number of points, where f is not differentiable and n is the number of points, where f is not continuous, then the ordered pair (m, n) is equal to

  1. A.(2, 0)
  2. B.(1, 0)
  3. C.(1, 1)
  4. D.(2, 1)

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