MathDB

7

Part of 2000 Moldova Team Selection Test

Problems(1)

6 points in the plane

Source: AMM 10308

3/29/2009
Suppose that p1,p2,p3,q1,q2,q3 p_1,p_2,p_3,q_1,q_2,q_3 are six points in the plane and that the distance between pi p_i and qj q_j ( i,j \equal{} 1,2,3) is i \plus{} j. Show that the six points are collinear.
combinatorics unsolvedcombinatorics