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JEE Math Practice Question

If $$\tan 15^\circ + {1 \over {\tan 75^\circ }} + {1 \over {\tan 105^\circ }} + \tan 195^\circ = 2a$$, then the value of $$\left( {a + {1 \over a}} \right)$$ is :

  1. A.$$5 - {3 \over 2}\sqrt 3 $$
  2. B.$$4 - 2\sqrt 3 $$
  3. C.2
  4. D.4

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