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The abscissae of A and B are the roots o...

The abscissae of A and B are the roots of the equation `x^2+2ax-b^2=0` and their ordinates are the roots of the equation `y^2+2py-q^2=0`. The equation of the circle with AB as diameter is

A

`x^2+y^2+2ax+2py-b^2-q^2=0`

B

`x^2+y^2+2ax+py-b^2-q^2=0`

C

`x^2+y^2+2ax+2py+b^2+q^2=0`

D

none of these

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