MathDB

MP= NQ wanted, statring with intersecting circles

Source: TOT 404 1994 Spring A J2 - Tournament of Towns

June 12, 2024

geometryequal segments

Problem Statement

Two circles intersect at the points

A

and

B

. Tangent lines drawn to both of the circles at the point

A

intersect the circles at the points

M

and

N

. The lines

BM

and

BN

intersect the circles once more at the points

P

and

Q

respectively. Prove that the segments

MP

and

NQ

are equal.
(I Nagel)