If cot^(-1)x+cot^(-1)y+cot^(-1)z=(pi)/(2...

If `cot^(-1)x+cot^(-1)y+cot^(-1)z=(pi)/(2)`, then `x+y+z=`

A

(a) `(1)/(x)+(1)/(y)+(1)/(z)`

B

(b) `xyz`

C

(c) `xy+yz+zx`

D

(d) `x^(2)+y^(2)+z^(2)`

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The correct Answer is:

B

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