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JEE Math Practice Question

The value of $$\cot \left( {\sum\limits_{n = 1}^{19} {{{\cot }^{ - 1}}} \left( {1 + \sum\limits_{p = 1}^n {2p} } \right)} \right)$$ is :

  1. A.$${{22} \over {23}}$$
  2. B.$${{23} \over {22}}$$
  3. C.$${{21} \over {19}}$$
  4. D.$${{19} \over {21}}$$

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