If then the expression ^ -1 + (1+ ^ 2 ) ( - ) + ^ -1 + (1+ ^ 2 ) ( - ) + ^ -1 + (1+ ^ 2 )…
Physics · JEE Main · NTA Exams — Kinematics
If 
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:
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:- 3π
- 0
- π
Answer
(B) 0
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