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The abscissa of two points A and B are t...

The abscissa of 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 `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 + 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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The correct Answer is:
A
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