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If Tan^(-1)x+Tan^(-1)y + Tan^(-1)z = (pi...

If `Tan^(-1)x+Tan^(-1)y + Tan^(-1)z = (pi)/2`, then prove that `xy + yz + zx = 1`

A

`xy+yz+zx=1`

B

`x^(2)+y^(2)+z^(2)+2xy=1`

C

`x+y+z=xyz`

D

`Sigmax+Sigmayz=1+xyz`

Text Solution

Verified by Experts

The correct Answer is:
A
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