Circle whose diameters lie along given lines

1. A.
   $x^2+y^2-2x+2y-47=0$
2. B.
   $x^2+y^2-2x+2y+51=0$
3. C.
   $x^2+y^2+2x-2y-51=0$
4. D.
   $x^2+y^2+2x+2y+47=0$

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1. A.
   $\ (x + 2)^{2} + (y - 2)^{2} = 4$
2. B.
   $\ (x - 3)^{2} + (y - 1)^{2} = 4$
3. C.
   $\ (x - 1)^{2} + (y - 2)^{2} = 1$
4. D.
   $(x + 1)^{2} + (y + 2)^{2} = 1$

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