MathDB

Two fixed points no r such that (CM)(DN) is constant

Source:

February 11, 2011

geometrygeometric transformationreflectiongeometry proposed

Problem Statement

Given a circle, two fixed points

A

and

B

and a variable point

P

, all of them on the circle, and a line

r

PA

and

PB

intersect

r

C

and

D

, respectively. Find two fixed points on

r

M

and

N

, such that

CM\cdot DN

is constant for all

P