If the origin be one limiting point of a system of co-axial circles of which is a member

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

Problem

If the origin be one limiting point of a system of co-axial circles of which

x^2 + y^2 + 3x + 4y + 25 = 0

is a member, find the other limiting point.