MathDB
Restricted existence of cone with axis passing through X

Source:

September 29, 2010
geometry3D geometryratiosphereIMO ShortlistIMO Longlist

Problem Statement

(GBR4)(GBR 4) The segment ABAB perpendicularly bisects CDCD at XX. Show that, subject to restrictions, there is a right circular cone whose axis passes through XX and on whose surface lie the points A,B,C,D.A,B,C,D. What are the restrictions?
Back to ProblemsView on AoPS