The equation of the circle

MATHEMATICS · Single correct · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

The equation of the circle S(x,y)=0S(x,y)=0, where S(2,3)=16S(2,3)=16, which touches the line 3x+4y−7=03x+4y-7=0 at (1,1)(1,1), is (1) x2+y2+x+2y−5=0x^2+y^2+x+2y-5=0 (2) x2+y2+2x+2y−7=0x^2+y^2+2x+2y-7=0 (3) x2+y2+4x−6y+13=0x^2+y^2+4x-6y+13=0 (4) x2+y2−4x+6y−7=0x^2+y^2-4x+6y-7=0

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