{"status": "success", "data": {"description_md": "An ellipse has foci at $(9,20)$ and $(49,55)$ in the $xy$-plane and is tangent to the $x$-axis. What is the length of its major axis?\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>An ellipse has foci at <span class=\"katex--inline\">(9,20)</span> and <span class=\"katex--inline\">(49,55)</span> in the <span class=\"katex--inline\">xy</span>-plane and is tangent to the <span class=\"katex--inline\">x</span>-axis. What is the length of its major axis?</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 5, "problem_name": "1985 AIME Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/85_aime_p12", "prev": "/problem/85_aime_p10"}}