If α > β > γ > 0, then the expression cot⁻¹( β + (1 + β²)/(α - β)… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 24 January, Shift 2Inverse Trigonometric Functions

If $\alpha > \beta > \gamma > 0$ , then the expression $\cot^{-1}\left( \beta + \frac{1 + \beta^2}{\alpha - \beta} \right) + \cot^{-1}\left( \gamma + \frac{1 + \gamma^2}{\beta - \gamma} \right) + \cot^{-1}\left( \alpha + \frac{1 + \alpha^2}{\gamma - \alpha} \right)$ is equal to:

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

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