MathDB

527

Part of 1990 All Soviet Union Mathematical Olympiad

Problems(1)

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

Source:

8/14/2019
Two unequal circles intersect at XX and YY. Their common tangents intersect at ZZ. One of the tangents touches the circles at PP and QQ. Show that ZXZX is tangent to the circumcircle of PXQPXQ.
Geometycommon tangentcirclestangentcircumcircle