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The abscisae of A and B are the roots of...

The abscisae 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) + 2 py -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+ 2py -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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The correct Answer is:
A
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