Find the equation of the circle passing through the centre of the circle and being…

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 centre of the circle

x^2 + y^2 - 4x - 6y = 8

and being concentric with the circle

x^2 + y^2 - 2x - 8y = 5