{"status": "success", "data": {"description_md": "For which of the following values of $k$ does the equation $\\frac{x-1}{x-2} = \\frac{x-k}{x-6}$ have no solution for $x$?\n\n$\\textbf{(A) } 1\\qquad \\textbf{(B) } 2\\qquad \\textbf{(C) } 3\\qquad \\textbf{(D) } 4\\qquad \\textbf{(E) } 5$", "description_html": "<p>For which of the following values of  <span class=\"katex--inline\">k</span>  does the equation  <span class=\"katex--inline\">\\frac{x-1}{x-2} = \\frac{x-k}{x-6}</span>  have no solution for  <span class=\"katex--inline\">x</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 1\\qquad \\textbf{(B) } 2\\qquad \\textbf{(C) } 3\\qquad \\textbf{(D) } 4\\qquad \\textbf{(E) } 5</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": 3, "problem_name": "2002 AMC 10B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10B_p13", "prev": "/problem/02_amc10B_p11"}}