Advanced Geometric Problem & Solution (Twice a week update) Now 4501 problems posted.
<Tri-2024-2161>, hint
By angles chasing <OAQ=<QPO, A,R,O are collinear
Let's prove AD/AR=AQ/AO
QA/DA=PO/DA=(r/cosA) /(2rsinC sinB). OA/RA=r/(2r sinB cosA sinC). r is circumradius of triangleABC .Hence DR//QO
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