MathDB
vector locus |sum MA_i |<=1987, regular 1987-gon

Source: 1988 Greece MO Grade XII p2

September 6, 2024
vectorgeometryanalytic geometryLocus

Problem Statement

Given regular 19871987 -gon on plane with vertices A1,A2,...,A1987A_1, A_2,..., A_{1987}. Find locus of points M of the plane sych that ∣MA1→+MA2→+...+MA1987→∣≤1987\left|\overrightarrow{MA_1}+\overrightarrow{MA_2}+...+\overrightarrow{MA_{1987}}\right| \le 1987.
Back to ProblemsView on AoPS