$\text { If } \alpha\beta\gamma0 \text {, then find } \cot ^{-1}\left(\frac{1+\alpha \beta}{\alpha-\beta}\right)+\cot ^{-1}\left(\frac{1+\beta \gamma}{\beta-\gamma}\right)+\cot ^{-1}\left(\frac{1+\gamma \alpha}{\gamma-\alpha}\right)$ (24 Jan, Shift II, Memory Based)

Question

$\text { If } \alpha>\beta>\gamma>0 \text {, then find } \cot ^{-1}\left(\frac{1+\alpha \beta}{\alpha-\beta}\right)+\cot ^{-1}\left(\frac{1+\beta \gamma}{\beta-\gamma}\right)+\cot ^{-1}\left(\frac{1+\gamma \alpha}{\gamma-\alpha}\right)$ (24 Jan, Shift II, Memory Based)

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