MathDB

2008 PUMaC Geometry A7/B9

Source:

November 9, 2012

geometrytrapezoidanalytic geometrygraphing linesslope

Problem Statement

Let

\mathcal{H}

be the region of points

(x, y)

, such that

(1, 0), (x, y), (-x, y)

, and

(-1,0)

form an isosceles trapezoid whose legs are shorter than the base between

(x, y)

and

(-x,y)

. Find the least possible positive slope that a line could have without intersecting

\mathcal{H}