Find the equation of the system of circles co-axial with the circles x^2 + y^2 + 4x +…

MATHEMATICS · Subjective · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Find the equation of the system of circles co-axial with the circles x2+y2+4x+2y+1=0x^2 + y^2 + 4x + 2y + 1 = 0 and x2+y2−2x+6y−6=0\text{and } x^2 + y^2 - 2x + 6y - 6 = 0 Also, find the equation of that particular circle whose centre lies on the radical axis.

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