JEE Main 2016 — Ellipse Question with Solution
From: JEE Main 2016 (Online) 9th April Morning Slot
Question
If the tangent at a point on the ellipse meets the coordinate axes at A and B, and O is the origin, then the
minimum area (in sq. units) of the triangle OAB is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D9
Step-by-step explanation
Equation of tangent to ellipse
cos + sin = 1
Area bounded by line and co-ordinate axis
= . =
= will be minimum when sin 2 = 1
min = 9
cos + sin = 1
Area bounded by line and co-ordinate axis
= . =
= will be minimum when sin 2 = 1
min = 9
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Ellipse 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 2016, covering the Ellipse 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.