Maximizing Area In An Ellipse
Calculus
Level
4
Consider the ellipse:
\[ \frac{x^2}{12} + \frac{y^2}{4} = 1.\]
What is the maximum area of a triangle \(ABC\), whose vertices are on the circumference of the ellipse?
Before trying this you may try this to approach the problem with a different perspective.
by
Sudeep Salgia