question_answer

The value of \[\cot \left( \sum\limits_{n=1}^{23}{{{\cot }^{-1}}}\left( 1+\sum\limits_{k=1}^{n}{2k} \right) \right)\] is

A)  \[\frac{23}{24}\]                                  

B)  \[\frac{23}{25}\]

C)  \[\frac{24}{23}\]                                  

D)  \[\frac{25}{23}\]

E)  None of these