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 $y^2+2py-q^2=0$. Find the equation of the circle with $AB$ as diameter.

  • 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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