jee-advanced 2013 Q47

jee-advanced · India · paper1 Sequences and Series Evaluation of a Finite or Infinite Sum
The value of $\cot \left( \sum _ { n = 1 } ^ { 23 } \cot ^ { - 1 } \left( 1 + \sum _ { k = 1 } ^ { n } 2 k \right) \right)$ is
(A) $\frac { 23 } { 25 }$
(B) $\frac { 25 } { 23 }$
(C) $\frac { 23 } { 24 }$
(D) $\frac { 24 } { 23 }$ 
The value of $\cot \left( \sum _ { n = 1 } ^ { 23 } \cot ^ { - 1 } \left( 1 + \sum _ { k = 1 } ^ { n } 2 k \right) \right)$ is\\
(A) $\frac { 23 } { 25 }$\\
(B) $\frac { 25 } { 23 }$\\
(C) $\frac { 23 } { 24 }$\\
(D) $\frac { 24 } { 23 }$
Paper Questions
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