tan^(-1)((xy)/(zr))+tan^(-1)((yz)/(xr))+tan^(-1)((zx)/(yr)

If x^(2)+y^(2)+z^(2)=r^(2) and x,y,z>0, then tan^(-1)((xy)/(zr))+tan^(-1)((yz)/(xz))+tan^(-1)((zx)/(yr)) is equal to

If x^(2)+y^(2)+z^(2)=r^(2), thentan ^(-1)((xy)/(zr))+tan^(-1)((yz)/(xr))+tan^(-1)((xz)/(yr)) is equal to pi(b)(pi)/(2)(c)0(d) none of these

If x^(2)+y^(2)+z^(2)=r^(2) , then Tan^(-1)((xy)/(zr))+Tan^(-1)((yz)/(xr))+Tan^(-1)((xz)/(yr))=

Prove the followings : If tan^(-1)((yz)/(xr))+tan^(-1)((zx)/(yr))+tan^(-1)((xy)/(zr))=pi/2 then x^(2)+y^(2)+z^(2)=r^(2) .

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

If tan^-1((yz)/(xr)) + tan^-1((zx)/(yr)) + tan^-1((xy)/(zr)) = pi/2 , prove that x^2 + y^2 + z^2 = r^2

Prove that tan^(-1)((x-y)/(1+xy))+tan^(-1)((y-z)/(1+yz))+tan^(-1)((z-x)/(1+zx))=tan^(-1)((x^(r)-y^(r))/(1+x^(r)y^(r)))+tan^(-1)((y^(r)-z^(r))/(1+y^(r)z^(r)))+tan^(-1)((z^(r)-x^(r))/(1+z^(r)x^(r)))

If r^2 =x^2 +y^2+z^2, "Prove that" "tan"^(-1) (yz)/(xr) ="tan"^(-1) (zx)/(yr) +"tan"^(-1) (xy)/(zr) =pi/2

Prove that : tan^(-1)((x-y)/(1+xy)) + tan^(-1)((y-z)/(1+yz)) + tan^(-1)( (z-x)/(1+zx)) = tan^(-1)((x^2-y^2)/(1+x^2y^2))+tan^(-1)((y^2-z^2)/(1+y^2z^2))+tan^(-1)((z^2-x^2)/(1+z^2x^2))

Prove that : tan^(-1)((x-y)/(1+xy)) + tan^(-1)((y-z)/(1+yz)) + tan^(-1)( (z-x)/(1+zx)) = tan^(-1)((x^2-y^2)/(1+x^2y^2))+tan^(-1)((y^2-z^2)/(1+y^2z^2))+tan^(-1)((z^2-x^2)/(1+z^2x^2))