MathDB
Symmetric Set of Points

Source:

February 17, 2008
analytic geometry

Problem Statement

A set S S of points in the xy xy-plane is symmetric about the origin, both coordinate axes, and the line y \equal{} x. If (2,3) (2, 3) is in S S, what is the smallest number of points in S S?
<spanclass=′latex−bold′>(A)</span> 1<spanclass=′latex−bold′>(B)</span> 2<spanclass=′latex−bold′>(C)</span> 4<spanclass=′latex−bold′>(D)</span> 8<spanclass=′latex−bold′>(E)</span> 16 <span class='latex-bold'>(A)</span>\ 1 \qquad <span class='latex-bold'>(B)</span>\ 2 \qquad <span class='latex-bold'>(C)</span>\ 4 \qquad <span class='latex-bold'>(D)</span>\ 8 \qquad <span class='latex-bold'>(E)</span>\ 16
Back to ProblemsView on AoPS