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JEE Math Practice Question

Let f : ($$-$$1, 1) $$ \to $$ R be a function defined by f(x) = max $$\left\{ { - \left| x \right|, - \sqrt {1 - {x^2}} } \right\}.$$ If K be the set of all points at which f is not differentiable, then K has exactly -

  1. A.one element
  2. B.three elements
  3. C.five elements
  4. D.two elements

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