{"status": "success", "data": {"description_md": "Define $a\\clubsuit b=a^2b-ab^2$. Which of the following describes the set of points $(x, y)$ for which $x\\clubsuit y=y\\clubsuit x$?\n\n$\\textbf{(A)}\\ \\text{a finite set of points}$\n$\\textbf{(B)}\\ \\text{one line}$\n$\\textbf{(C)}\\ \\text{two parallel lines}$\n$\\textbf{(D)}\\ \\text{two intersecting lines}$\n$\\textbf{(E)}\\ \\text{three lines}$", "description_html": "

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}
\\textbf{(B)}\\ \\text{one line}
\\textbf{(C)}\\ \\text{two parallel lines}
\\textbf{(D)}\\ \\text{two intersecting lines}
\\textbf{(E)}\\ \\text{three lines}

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2013 AMC 10B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10B_p15", "prev": "/problem/13_amc10B_p13"}}