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TR-MO-R1 2015 Problem 17

    Düzlemde bir çember ve bu çemberin dış bölgesinde A1,A2,…AnA_1, A_2, \dots A_n noktaları veriliyor. Bu çemberin üzerindeki her AA noktası için, [AA1],[AA2],…[AAn][AA_1], [AA_2], \dots [AA_n] doğru parçalarından en az üçü çemberi yalnızca AA noktasında kesiyorsa, nn en az kaç olabilir?

    a) 4 b) 5 c) 6 d) 7 e) 8

    Official text Turkish Mathematical Olympiad, first round 2015 official paper, page 6. Quoted with source.

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