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If $x + y + z = x y z,$ then $\tan^{- 1} x + \tan^{- 1} y + \tan^{- 1} z =$

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Correct option is A

We have, tan−1⁡x+tan−1⁡y+tan−1⁡z= tan−1⁡x+y+z−xyz1−(xy+yz+zx)=tan−1⁡0=0

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If x+y+z=xyz, then tan−1⁡x+tan−1⁡y+tan−1⁡z=

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If $x + y + z = x y z,$ then $\tan^{- 1} x + \tan^{- 1} y + \tan^{- 1} z =$