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If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(...

If `xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=`

A

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

B

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

C

`(2)/(sqrt ((1 + x ^(2)) (1+ y ^(2)) (1+z ^(2))))`

D

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

Text Solution

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The correct Answer is:
C
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