Subcontests
(4)Bisecting Segment
Let point H be the orthocenter of a scalene triangle ABC. Line AH intersects with the circumcircle Ω of triangle ABC again at point P. Line BH,CH meets with AC,AB at point E and F, respectively. Let PE,PF meet Ω again at point Q,R, respectively. Point Y lies on Ω so that lines AY,QR and EF are concurrent. Prove that PY bisects EF.