2013 AMC 10B Problems/Problem 14

Revision as of 17:12, 21 February 2013 by JWK750 (talk | contribs) (Problem)

Problem

Define $a\clubsuit b=a^2b-ab^2$. Which of the following describes the set of points $(x, y)$ for which $x\clubsuit y=y\clubsuit x$?

$\textbf{(A)}\ \text{a finite set of points}\ \qquad\textbf{(B)}\ \text{one line}\ \qquad\textbf{(C)}\ \text{two parallel lines}\ \qquad\textbf{(D}}\ \text{two intersecting lines}\ \qquad\textbf{(E)}\ \text{three lines}$ (Error compiling LaTeX. Unknown error_msg)