HMMT 2016 G5
- Geometry
- Answer
Nine pairwise noncongruent circles are drawn in the plane such that any two circles intersect twice. For each pair of circles, we draw the line through these two points, for a total of lines. Assume that all 36 lines drawn are distinct. What is the maximum possible number of points which lie on at least two of the drawn lines?
Dataset text NuminaMath olympiads. Quoted with source.
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