JEE Main 2005MathematicsApplication of DerivativesMediumMCQ

JEE Main 2005Application of Derivatives Question with Solution

JEE Main 2005

Question

Area of the greatest rectangle that can be inscribed in the ellipse is

Choose an option

Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation


Area of rectangle Area of greatest rectangle is equal to when .

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Application of Derivatives chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2005, covering the Application of Derivatives chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.