MathDB
tangent circles, line through intersection

Source: VTRMC 2009 P4

May 31, 2021
geometrycircles

Problem Statement

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.
Back to ProblemsView on AoPS