IMO Shortlist 1982 problem 5


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2. travnja 2012.
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The diagonals AC and CE of the regular hexagon ABCDEF are divided by inner points M and N respectively, so that {AM\over AC}={CN\over CE}=r. Determine r if B,M and N are collinear.
Izvor: Međunarodna matematička olimpijada, shortlist 1982