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The abscissae of the two points A and B ...

The abscissae of the two points A and B are the roots of the equation `x^(2) + 2ax-b^(2) =0` and their ordinates are the roots of the equation `x^(2)+2px-q^(2)=0`. Find the equation and the radius of the circle with `bar(AB)` as diameter.

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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

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