Covering plane with parabolas
Source: Turkey TST 1999 - P6
July 2, 2012
conicsparabolacombinatorics proposedcombinatorics
Problem Statement
Prove that the plane is not a union of the inner regions of finitely many parabolas. (The outer region of a parabola is the union of the lines not intersecting the parabola. The inner region of a parabola is the set of points of the plane that do not belong to the outer region of the parabola)