JEE Math Practice Question
The value of $$\cot \left( {\sum\limits_{n = 1}^{50} {{{\tan }^{ - 1}}\left( {{1 \over {1 + n + {n^2}}}} \right)} } \right)$$ is :
- A.$${{26} \over {25}}$$
- B.$${{25} \over {26}}$$
- C.$${{50} \over {51}}$$
- D.$${{52} \over {51}}$$
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