If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi , th...

If `cos^(-1)x+cos^(-1)y+cos^(-1)z=pi` , then

A

`x^(2)+y^(2)+z^(2)+xyz=0`

B

`x^(2)+y^(2)+z^(2)+2xyz=0`

C

`x^(2)+y^(2)+z^(2)+xyz=1`

D

`x^(2)+y^(2)+z^(2)+2xyz=1`

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The correct Answer is:

D

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