Given an ellipse with equation
*x*^{2}/*a*^{2} +
*y*^{2}/*b*^{2} = 1, if
*A*, *B*, *C*,and *D* are points on the ellipse such that
*AB* and *CD* are perpendicular and pass through the origin,
what is the minimum possible value
of the product of *AB* and *CD*?

**
The solution will be posted shortly.
**

Back to the Advanced Problem Archives

Back to the Math Department Homepage.