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Let x , y , z be non - zero real numbers...

Let x , y , z be non - zero real numbers lying in the interval [-1,1] such that
`cos^-1 x + cos^-1 y + cos^-1 z = pi`
The value of `x sqrt(1 - x^2) + ysqrt(1 - y^2) + zsqrt(1 - z^2)` is equal to

A

`4sqrt(1 - x^2) sqrt(1 - y^2) sqrt(1 - z^2)`

B

`2sqrt(1 - x^2) sqrt(1 - y^2) sqrt(1 - z^2)`

C

`sqrt(1 - x^2) sqrt(1 - y^2) sqrt(1 - z^2)`

D

none of these

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The correct Answer is:
B
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