यदि `"tan"^(-1)x+"tan"^(-1)y=(pi)/2` सिद्ध कीजिए कि `xy=1`

If tan^(-1)x+tan^(-1)y=(pi)/(2), then prove that xy=1

If "tan"^(-1)x+"tan"^(-1)y+"tan"^(-1)z=pi/(2) , show that xy+yz+zx=1

"If " tan^(-1) x+ tan^(-1) y+tan ^(-1)z=(pi)/(2) , show that , xy+yz+zx =1

If tan^(-1)x+tan^(-1)y=(pi)/(4) , and the value of xy<1 ,then show that x+y+xy=1 .

Assertion (A) : The value of "tan"^(-1)+"tan"^(-1)3=(3pi)/(4) Reason (R) : If x gt 0, y gt , 0, xy gt 1 then tan^(-1)x+tan^(-1)y=pi +tan^(-1)((x+y)/(1-xy))

If tan ^(-1) x+tan ^(-1) y+tan ^(-1) z=(pi)/(2) then x y+y z+z x=

If tan ^(-1) ""x + tan ^(-1) ""y + tan ^(-1) ""z=(pi)/(2) and x + y +z = sqrt(3) then show that x =y=z.

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

If tan^(-1)x+tan^(-1)y+tan^(-1) z=(3pi)/(2) then prove that xy+yz+zx=1