JEE Main 2020MathematicsEllipseMediumMCQ

JEE Main 2020 — Ellipse Question with Solution

JEE Main 2020 (07 Jan Shift 1)

Question

If the distance between the foci of an ellipse is 6 and the distance between its directrix is 12, then the length of its latus rectum is

Choose an option

Show full solutionCorrect option: B
Correct answer
B32

Step-by-step explanation

Given, 2ae=6 and 2ae=12, directrices are x=±ae

So, ae=6

Now, using the formula for eccentricity of an ellipse

⇒b2=a2-a2e2=18-9=9

⇒L.R.=2b2a=2×932=32

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 2020, 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.