If $\tan ^{-1} x+\tan ^{-1} y+\tan ^{-1} z=\pi$, then the value of $x+y+z-x y z$ is

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Application +4 | -1

\tan ^{-1} x+\tan ^{-1} y+\tan ^{-1} z=\pi

, then the value of

x+y+z-x y z

View answer and explanation

Correct option: A

Option A (0) is correct because if

\tan^{-1} x + \tan^{-1} y + \tan^{-1} z = \pi

, then

x + y + z = xyz

, which implies

x + y + z - xyz = 0

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