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If (x+1)/(x-1)=a/b and (1-y)/(1+y)=b/a ,...

If `(x+1)/(x-1)=a/b` and `(1-y)/(1+y)=b/a` , then the value of `(x-y)/(1+x y)` is `(2a b)/(a^2-b^2)` (b) `(a^2-b^2)/(2a b)` (c) `(a^2+b^2)/(2a b)` (d) `(a^2-b^2\ )/(a b)`

A

`(2ab)/(a^(2)-b^(2))`

B

`(a^(2)-b^(2))/(2ab)`

C

`(a^(2)+b^(2))/(a^(2)-b^(2))`

D

`(a^(2)-b^(2))/(a^(2)+b^(2))`

Text Solution

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The correct Answer is:
C
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