From the point on

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

Problem

From the point A(0,3)A(0, 3) on x2+4x+(y−3)2=0x^2 + 4x + (y - 3)^2 = 0 , a chord ABAB is drawn and extended to a point MM , such that AM=2ABAM = 2AB . An equation of the locus of MM is (1) x2+6x+(y−2)2=0x^2 + 6x + (y - 2)^2 = 0 (2) x2+8x+(y−3)2=0x^2 + 8x + (y - 3)^2 = 0 (3) x2+y2+8x−6y+9=0x^2 + y^2 + 8x - 6y + 9 = 0 (4) x2+y2+6x−4y+4=0x^2 + y^2 + 6x - 4y + 4 = 0

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