JEE Main 2017MathematicsEllipseMediumMCQ

JEE Main 2017 — Ellipse Question with Solution

JEE Main 2017 (08 Apr Online)

Question

Consider an ellipse, whose center is at the origin and its major axis is along the x-axis. If its eccentricity is 35 and the distance between its foci is 6, then the area (in sq. units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C40

Step-by-step explanation



Given eccentricity of the ellipse e = 3 5 .

Distance between foci  is  2ae=6
⇒ a = 5.

Also,  b 2 = a 2 (1− e 2 )

⇒ b2=251-925

⇒ b=4

Area =412ab=2ab=40

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 2017, 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.