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The abscissa of the two points A and B are the roots of the equation `x^2+2a x-b^2=0` and their ordinates are the roots of the equation `x^2+2p x-q^2=0.` Find the equation of the circle with AB as diameter. Also, find its radius.

A

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

B

`x^(2) +y^(2) +2ay + 2px - b^(2)- q^(2) =0`

C

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

D

None of these

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A
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