# 2 friends discussing

**Calculus**Level 4

Ashutosh and Kevin are best friends. Ashutosh is humble and kind-hearted guy and Kevin is a very intelligent guy who could solve any problem. They both met at a ground. Ashutosh asked Kevin a doubt, about which he was thinking the whole week. He drew an ellipse on the mud and asked Kevin to find the area of the greatest isosceles triangle that can be inscribed in the given ellipse having its vertex coincident with one end of the major axis.

Kevin thought for a while and gave the correct answer. What answer did Kevin give?

Note: The equation of ellipse is \(\frac { { x }^{ 2 } }{ 4 } +\frac { { y }^{ 2 } }{ 9 } =1\) .