The equation of the circle on the common...

The equation of the circle on the common chord of the circles `(x-a)^(2)+y^(2)=a^(2)` and `x^(2)+(y+b)^(2)=b^(2)` as diameter, is

A

`x^(2) +y^(2) =2ab ( bx + ay)`

B

`x^(2) +y^(2) =bx +ay`

C

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

D

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

Verified by Experts

The correct Answer is:

C

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