{"status": "success", "data": {"description_md": "On a sheet of paper, Isabella draws a circle of radius $2$, a circle of radius $3$, and all possible lines simultaneously tangent to both circles. Isabella notices that she has drawn exactly $k \\ge 0$ lines. How many different values of $k$ are possible?\n\n$\\textbf{(A)}\\ 2 \\qquad\\textbf{(B)}\\ 3 \\qquad\\textbf{(C)}\\ 4 \\qquad\\textbf{(D)}\\ 5\\qquad\\textbf{(E)}\\ 6$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>On a sheet of paper, Isabella draws a circle of radius  <span class=\"katex--inline\">2</span> , a circle of radius  <span class=\"katex--inline\">3</span> , and all possible lines simultaneously tangent to both circles. Isabella notices that she has drawn exactly  <span class=\"katex--inline\">k \\ge 0</span>  lines. How many different values of  <span class=\"katex--inline\">k</span>  are possible?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 2 \\qquad\\textbf{(B)}\\ 3 \\qquad\\textbf{(C)}\\ 4 \\qquad\\textbf{(D)}\\ 5\\qquad\\textbf{(E)}\\ 6</span> </p>&#10;<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": "2015 AMC 12A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc12A_p12", "prev": "/problem/15_amc12A_p10"}}