A Circumcircle of Maximal Area
Problem
The ellipse has left vertex . A line through the point meets at two points and . Let be the circumscribed circle of .
1. When is perpendicular to the -axis, find the equation of the circle . 2. Find the maximum area of the circle .
Answer
Solution
| Difficulty | 8/10 |
|---|---|
| Topics | Circles, conic sections, AM-GM, analytic geometry, Vieta's Formulas |
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