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JEE Math Practice Question

$$\mathop {\lim }\limits_{x \to {1 \over {\sqrt 2 }}} {{\sin ({{\cos }^{ - 1}}x) - x} \over {1 - \tan ({{\cos }^{ - 1}}x)}}$$ is equal to :

  1. A.$$\sqrt 2 $$
  2. B.$$ - \sqrt 2 $$
  3. C.$${1 \over {\sqrt 2 }}$$
  4. D.$$ - {1 \over {\sqrt 2 }}$$

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