Question

Let ABC be a triangle. Locate the point O inside the triangle ABC such that for points L, M and N lying on its sides AB, BC and CA respectively, triangles BOL, COM and AON have the same area, where LO and BC, OM and AC, NO and AB must be parallel respectively.

Answer 1

Gauss is a competition. Please do not ruin the integrity of this Government run Olympiad.

AMC