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Multiple choice

The equation of the circle whose one diameter is $PQ$, where the ordinates of $P, Q$ are the roots of the equation $x^{2}+2x-3=0$ and the abscissae are the roots of the equation $y^{2}+4y-12=0$, is

  1. $x^{2}+y^{2}+2x+4y-15=0$
  2. $x^{2}+y^{2}-4x-2y-15=0$
  3. $x^{2}+y^{2}+4x+2y-15=0$
  4. none of these

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