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JEE Math Practice Question

If $$\alpha = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$, $$\beta = {\tan ^{ - 1}}\left( {{1 \over 3}} \right)$$ where $$0 < \alpha ,\beta < {\pi \over 2}$$ , then $$\alpha $$ - $$\beta $$ is equal to :

  1. A.$${\tan ^{ - 1}}\left( {{9 \over {14 }}} \right)$$
  2. B.$${\sin ^{ - 1}}\left( {{9 \over {5\sqrt {10} }}} \right)$$
  3. C.$${\cos ^{ - 1}}\left( {{9 \over {5\sqrt {10} }}} \right)$$
  4. D.$${\tan ^{ - 1}}\left( {{9 \over {5\sqrt {10} }}} \right)$$

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