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Without rotation of axes if the origin is shifted to the point `((ab)/(a-b),0),` then the equation `(a-b) (x^(2) +y^(2)) = 2abx` reduces to-

A

`(a-b) ^(2) (x^(2)+y^(2)) =a^(2)b^(2)`

B

`x ^(2) +y^(2) =(a-b)^(2)`

C

`x ^(2) + y^(2) =a^(2) b^(2)`

D

`a^(2)b^(2) (x^(2) +y^(2)) =(a-b) ^(2)`

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