MathDB

Let

A

be a fixed point on a circle,

B

and

C

be arbitrary points on the circle different from

A

and at different distances. The bisector of the angle

\angle BAC

intersects the chord

BC

and the circle at points

K

and

P

D

is the projection of

A

onto the straight line

BC

. A circle passing through points

K

P

and

D

intersects the straight line

AD

for the second time at point

M

. Find the locus of points

M

Problem Statement