Suppose a x+b y+c=0, where a, b, and c are in AP be normal to a family of circles. The equation o...

Suppose a x+b y+c=0, where a, b, and c are in AP be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4 x-4 y-1=0 orthogonally is
(1) x^2+y^2-2 x+4 y-3=0
(2) x^2+y^2+2 x-4 y-3=0
(3) x^2+y^2-2 x+4 y-5=0
(4) x^2+y^2-2 x-4 y+3=0

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