If x^2 + y^2 + z^2 = r^2 and x, y, z > ...

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

A

(a) `pi`

B

(b) `(pi)/(2)`

C

(c) `0`

D

(d) `(pi)/(3)`

Verified by Experts

The correct Answer is:

B

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