question_answer

If \[{{\sin }^{-1}}x+{{\sin }^{-1}}y+{{\sin }^{-1}}z=\frac{\pi }{2},\]  then the value of \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2xyz\] is equal to

A)  0                                

B)  1

C)  2                                

D)  3

E)  None of these