18th BMO 1982 - Further International Selection Test1. ABC is a triangle. The angle bisectors at A, B, C meet the circumcircle again at P, Q , R respectively. Show that AP + BQ + CR > AB + BC + CA. 2. The sequence p1,
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18th BMO 1982 - Further International Selection Test1. ABC is a triangle. The angle bisectors at A, B, C meet the circumcircle again at P, Q , R respectively. Show that AP + BQ + CR > AB + BC + CA. 2. The sequence p1,
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