MathDB

A chord

AB

is drawn in a circle. On its extensions beyond points

A

and

B

, points

P

and

Q

respectively are taken such that

AP = BQ

. Through

P

and

Q

two tangents to the circle are drawn, intersecting at point

M

. Find the locus of points

M

(

P

and

Q

move along a straight line and for any

P

and

Q

all possible pairs of tangents are taken, which determine four points from the desired locus of points) .

Problem Statement