{"status": "success", "data": {"description_md": "Two points $B$ and $C$ are in a plane. Let $S$ be the set of all points $A$ in the plane for which $\\triangle ABC$ has area $1.$ Which of the following describes $S?$\n\n$\\textbf{(A) } \\text{two parallel lines} \\qquad\\textbf{(B) } \\text{a parabola} \\qquad\\textbf{(C) } \\text{a circle} \\qquad\\textbf{(D) } \\text{a line segment} \\qquad\\textbf{(E) } \\text{two points}$", "description_html": "<p>Two points  <span class=\"katex--inline\">B</span>  and  <span class=\"katex--inline\">C</span>  are in a plane. Let  <span class=\"katex--inline\">S</span>  be the set of all points  <span class=\"katex--inline\">A</span>  in the plane for which  <span class=\"katex--inline\">\\triangle ABC</span>  has area  <span class=\"katex--inline\">1.</span>  Which of the following describes  <span class=\"katex--inline\">S?</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\text{two parallel lines} \\qquad\\textbf{(B) } \\text{a parabola} \\qquad\\textbf{(C) } \\text{a circle} \\qquad\\textbf{(D) } \\text{a line segment} \\qquad\\textbf{(E) } \\text{two points}</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2007 AMC 10B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10B_p11", "prev": "/problem/07_amc10B_p09"}}