Consider the family of circles passing through two fixed points and

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

Problem

Consider the family of circles

x^2 + y^2 - 2x - 2\lambda y - 8 = 0

passing through two fixed points

A

and

B

. Then the distance between the points

A

and

B