MathDB

Circle

Source: Canada 1973/6

January 11, 2007

geometrycircumcircle

Problem Statement

A

and

B

are fixed points on a given circle not collinear with centre

O

of the circle, and if

XY

is a variable diameter, find the locus of

P

(the intersection of the line through

A

and

X

and the line through

B

and

Y