MathDB

Rays

l

and

m

forming an angle of

a

are drawn from the same point. Let

P

be a fixed point on

l

. For each circle

C

tangent to

l

P

and intersecting

m

Q

and

R

, let

T

be the intersection point of the bisector of angle

QPR

with

C

. Describe the locus of

T

and justify your answer.

Problem Statement