MathDB

ASU 527 All Soviet Union MO 1990 ZX is tangent to the circumcircle of PXQ

Source:

August 14, 2019

Geometycommon tangentcirclestangentcircumcircle

Problem Statement

Two unequal circles intersect at

X

and

Y

. Their common tangents intersect at

Z

. One of the tangents touches the circles at

P

and

Q

. Show that

ZX

is tangent to the circumcircle of

PXQ