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JEE Math Practice Question

The sum of possible values of x for tan$$-$$1(x + 1) + cot$$-$$1$$\left( {{1 \over {x - 1}}} \right)$$ = tan$$-$$1$$\left( {{8 \over {31}}} \right)$$ is :

  1. A.$$-$$$${{{32} \over 4}}$$
  2. B.$$-$$$${{{33} \over 4}}$$
  3. C.$$-$$$${{{31} \over 4}}$$
  4. D.$$-$$$${{{30} \over 4}}$$

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