jee-main 2022 Q72

jee-main · India · session1_27jun_shift2 Standard trigonometric equations Inverse trigonometric equation

The value of $\cot \left( \sum _ { n = 1 } ^ { 50 } \tan ^ { - 1 } \left( \frac { 1 } { 1 + n + n ^ { 2 } } \right) \right)$ is
(1) $\frac { 25 } { 26 }$
(2) $\frac { 50 } { 51 }$
(3) $\frac { 26 } { 25 }$
(4) $\frac { 52 } { 51 }$

The value of $\cot \left( \sum _ { n = 1 } ^ { 50 } \tan ^ { - 1 } \left( \frac { 1 } { 1 + n + n ^ { 2 } } \right) \right)$ is\\
(1) $\frac { 25 } { 26 }$\\
(2) $\frac { 50 } { 51 }$\\
(3) $\frac { 26 } { 25 }$\\
(4) $\frac { 52 } { 51 }$

Paper Questions

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