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If x =1 + a + a^(2)+"………" to oo and y...

If `x =1 + a + a^(2)+"………" ` to `oo ` and `y = 1+ b + b^(2) +"………"` to `oo` where a and b are proper fraction, then `1 + ab + a^(2) b^(2) + "……."` to `oo` equals `:`

A

`( xy )/( y +x-1)`

B

`( x +y )/( x-y)`

C

`( x^(2) + y^(2))/( x-y)`

D

None of these

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The correct Answer is:
A
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