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If Cos^(-1)x+Cos^(-1)y+Cos^(-1)z=pi,"the...

If `Cos^(-1)x+Cos^(-1)y+Cos^(-1)z=pi,"then "x^(2)+y^(2)+z^(2)+2xyz=`

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`

Text Solution

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The correct Answer is:
D
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