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If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi/2,t ...

If `tan^(-1)x+tan^(-1)y+tan^(-1)z=pi/2,t h e n` `x+y+z-x y z=0` `x+y+z+x y z=0` `x y+y z+z x+1=0` `x y+y z+z x-1=0`

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