IMO 2023 Shortlist G5
Let ABC be an acute-angled triangle with circumcircle ω and circumcentre O. Points D ‰ B and E ‰ C lie on ω such that BD...
Category: Geometry
Problem
Let ABC be an acute-angled triangle with circumcircle ω and circumcentre O. Points D ‰ B and E ‰ C lie on ω such that BD K AC and CE K AB. Let CO meet AB at X, and BO meet AC at Y . Prove that the circumcircles of triangles BXD and CY E have an intersection on line AO. (Malaysia)