MathDB

Problem 4

Part of 2009 VTRMC

Problems(1)

tangent circles, line through intersection

Source: VTRMC 2009 P4

5/31/2021
Two circles α,β\alpha,\beta touch externally at the point XX. Let A,PA,P be two distinct points on α\alpha different from XX, and let AXAX and PXPX meet β\beta again in the points BB and QQ respectively. Prove that APAP is parallel to QBQB.
geometrycircles