MathDB
Indian RMO - Paper -4[5]

Source:

December 12, 2013
geometrygeometric transformationreflectioncircumcircleincenterhomothetyReflections

Problem Statement

In a triangle ABCABC, let HH denote its orthocentre. Let PP be the reflection of AA with respect to BCBC. The circumcircle of triangle ABPABP intersects the line BHBH again at QQ, and the circumcircle of triangle ACPACP intersects the line CHCH again at RR. Prove that HH is the incentre of triangle PQRPQR.
Back to ProblemsView on AoPS