MathDB
Connecting Points of Intersection

Source:

February 15, 2009
geometryparallelogramrectanglerotationconicshyperbolasymmetry

Problem Statement

The points of intersection of xy \equal{} 12 and x^2 \plus{} y^2 \equal{} 25 are joined in succession. The resulting figure is: <spanclass=latexbold>(A)</span> a straight line<spanclass=latexbold>(B)</span> an equilateral triangle<spanclass=latexbold>(C)</span> a parallelogram <span class='latex-bold'>(A)</span>\ \text{a straight line} \qquad<span class='latex-bold'>(B)</span>\ \text{an equilateral triangle} \qquad<span class='latex-bold'>(C)</span>\ \text{a parallelogram} <spanclass=latexbold>(D)</span> a rectangle<spanclass=latexbold>(E)</span> a square <span class='latex-bold'>(D)</span>\ \text{a rectangle} \qquad<span class='latex-bold'>(E)</span>\ \text{a square}