MathDB

find the locus of T

Source: itamo 2004, p2

March 2, 2012

geometrygeometric transformationhomothetygeometry proposed

Problem Statement

Two parallel lines

r,s

and two points

P \in r

and

Q \in s

are given in a plane. Consider all pairs of circles

(C_P, C_Q)

in that plane such that

C_P

touches

r

P

and

C_Q

touches

s

Q

and which touch each other externally at some point

T

. Find the locus of

T