Show that the common chord of the circles and pass through the centre of the second…

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

Problem

Show that the common chord of the circles

x^2 + y^2 - 6x - 4y + 9 = 0

and

x^2 + y^2 - 8x - 6y + 23 = 0

pass through the centre of the second circle and find its length.