The locus of the centre of a circle of radius 2 which rolls on the outside of circle is

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

Problem

The locus of the centre of a circle of radius 2 which rolls on the outside of circle x2+y2+3x−6y−9=0x^2 + y^2 + 3x - 6y - 9 = 0 is (1) x2+y2+3x−6y+5=0x^2 + y^2 + 3x - 6y + 5 = 0 (2) x2+y2+3x−6y−31=0x^2 + y^2 + 3x - 6y - 31 = 0 (3) x2+y2+3x−6y+11=0x^2 + y^2 + 3x - 6y + 11 = 0 (4) x2+y2+3x−6y−36=0x^2 + y^2 + 3x - 6y - 36 = 0

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