One of the limiting points of the co-axial system of circles containing the circles and is

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

Problem

One of the limiting points of the co-axial system of circles containing the circles

x^2 + y^2 - 4 = 0

and

x^2 + y^2 - x - y = 0

is (1)

(\sqrt{2}, \sqrt{2})

(2)

(-\sqrt{2}, \sqrt{2})

(3)

(-\sqrt{2}, -\sqrt{2})

(4) None of these