1.

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

Answer»

`xy+yz+zx=1`
`X^(2)+y^(2)+Z^(2)+2xy=1`
`x+y+z=xyz`
`Sigmax+Sigmayz=1+xyz`

ANSWER :A


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