JEE Main 2016MathematicsEllipseMediumMCQ

JEE Main 2016Ellipse Question with Solution

JEE Main 2016 (09 Apr Online)

Question

If the tangent at a point on the ellipse x227+y23=1 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: C
Correct answer
C9

Step-by-step explanation

x227+y23=1

Equation of tangent to ellipse

x27cosθ+y3sinθ=1

Area bounded by the line and coordinate axis

Δ=12·27cosθ·3sinθ=9sin2θ

Δ will be minimum when sin2θ=1

Δmin =9 sq. units

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.