Find the equation of the circle passing through the point of intersection of the…

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

Find the equation of the circle passing through the point of intersection of the circles

x^2 + y^2 - 6x + 2y + 4 = 0, \quad x^2 + y^2 + 2x - 4y - 6 = 0

and with its centre on the line

y = x