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Inverse Trigonometric Functions question

2022 · 27 Jun · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 27 Jun · Shift 2 · Q35

Inverse Trigonometric Functions question

2022 · 27 Jun · Shift 2 · Q35

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

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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