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Inverse Trigonometric Functions question

2025 · 24 Jan · Shift 2 · Q32

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2025 · 24 Jan · Shift 2 · Q32

Inverse Trigonometric Functions question

2025 · 24 Jan · Shift 2 · Q32

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

If

\alpha\gt \beta\gt \gamma\gt 0

, then the expression

\cot ^{-1}\left\{\beta+\frac{\left(1+\beta^2\right)}{(\alpha-\beta)}\right\}+\cot ^{-1}\left\{\gamma+\frac{\left(1+\gamma^2\right)}{(\beta-\gamma)}\right\}+\cot ^{-1}\left\{\alpha+\frac{\left(1+\alpha^2\right)}{(\gamma-\alpha)}\right\}

is equal to :

A
$3 \pi$
B
$\frac{\pi}{2}-(\alpha+\beta+\gamma)$
C
$\pi$
D
0

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