The point is a limiting point of a co-axial system of circles of which is a member

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

Problem

The point (2,3)(2, 3) is a limiting point of a co-axial system of circles of which x2+y2=9x^2 + y^2 = 9 is a member. The coordinates of the other limiting point is given by (1) (1813,2713)\left(\frac{18}{13}, \frac{27}{13}\right) (2) (913,613)\left(\frac{9}{13}, \frac{6}{13}\right) (3) (1813,−2713)\left(\frac{18}{13}, -\frac{27}{13}\right) (4) (−1813,−913)\left(-\frac{18}{13}, -\frac{9}{13}\right)

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