Turkey NMO 2010 P6
Source:
December 15, 2010
inequalitiesanalytic geometryemailcombinatorics proposedcombinatorics
Problem Statement
Let be the set of all sides and diagonals of a convex in the plane. For a subset of if every pair of line segments belonging to intersect, then we call as an intersecting set. Find the maximum possible number of elements of union of two intersecting sets.