- represents a circle

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

- S(x,y)=0S(x, y) = 0 represents a circle. The equation S(x,2)=0S(x, 2) = 0 gives two identical solutions x=1x = 1 and the equation S(1,y)=0S(1, y) = 0 gives two distinct solutions y=0,2y = 0, 2 , then the equation of the circle is (1) x2+y2+2x−2y+1=0x^2 + y^2 + 2x - 2y + 1 = 0 (2) x2+y2−2x+2y+1=0x^2 + y^2 - 2x + 2y + 1 = 0 (3) x2+y2−2x−2y−1=0x^2 + y^2 - 2x - 2y - 1 = 0 (4) x2+y2−2x−2y+1=0x^2 + y^2 - 2x - 2y + 1 = 0

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