Find the equations of the two circles which intersect the circles x^2 + y^2 - 6y + 1…

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

Problem

Find the equations of the two circles which intersect the circles

x^2 + y^2 - 6y + 1 = 0 \text{ and } x^2 + y^2 - 4y + 1 = 0

orthogonally and touch the line

3x + 4y + 5 = 0