Q .     The value of `cot[sum_(n=1)^23cot^-1[1+sum_(k=1)^n(2k)]]` is

JEE 2013 Mains
A

`23/25`

B

`25/23`

C

`23/24`

D

`24/25`

HINT

use this `1+sum_(k=1)^n(2k) -= n^2 + n +1`
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