Home
Class 12
MATHS
[" EXAMPLE "23],[" If "tan^(-1)(yz)/(xr)...

[" EXAMPLE "23],[" 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)]

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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=(pi)/(2) , show that , xy+yz+zx =1

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

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

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