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ExamsJEE AdvancedGeneral

For any y  R, let cot – 1 (y)  (0,  ) and tan – 1 (y)           2 , 2 . Then the sum of all the solutions of the equation tan – 1          2 y 9 y 6 + cot – 1          y 6 y 9 2 = 3 2  for 0 < |y| < 3, is equal to

  1. 2 3 – 3
  2. 3 – 2 3
  3. 4 3 – 6
  4. 6 – 4 3

Correct answer: 4 3 – 6

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