JEE Main 2020 — Ellipse Question with Solution
From: JEE Main 2020 (Online) 7th January Morning Slot
Question
If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12,
then the length of its latus rectum is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Distance between foci = 2ae = 6
ae = 3 .....(1)
Distance between directrices = = 12
= 6 .....(2)
from (1) and (2)
a2 = 18
also a2e2 = 9
18e2 = 9
e2 =
We know e2 = 1 -
= 1 -
b2 = 9
Length of latus rectum =
=
=
ae = 3 .....(1)
Distance between directrices = = 12
= 6 .....(2)
from (1) and (2)
a2 = 18
also a2e2 = 9
18e2 = 9
e2 =
We know e2 = 1 -
= 1 -
b2 = 9
Length of latus rectum =
=
=
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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.