MathDB
Intersection of Graphs

Source:

June 8, 2009
algebralinear equation

Problem Statement

The graph of x^2 \plus{} y \equal{} 10 and the graph of x \plus{} y \equal{} 10 meet in two points. The distance between these two points is: <spanclass=latexbold>(A)</span> less than 1<spanclass=latexbold>(B)</span> 1<spanclass=latexbold>(C)</span> 2<spanclass=latexbold>(D)</span> 2<spanclass=latexbold>(E)</span> more than 2 <span class='latex-bold'>(A)</span>\ \text{less than 1} \qquad <span class='latex-bold'>(B)</span>\ 1\qquad <span class='latex-bold'>(C)</span>\ \sqrt{2}\qquad <span class='latex-bold'>(D)</span>\ 2\qquad <span class='latex-bold'>(E)</span>\ \text{more than 2}