JEE Main 2019 — Ellipse Question with Solution
From: JEE Main 2019 (Online) 12th January Evening Slot
Question
Let S and S' be the foci of an ellipse and B be any one of the extremities of its minor axis. If S'BS is a right angled triangle with right angle at B and area (S'BS) = 8 sq. units, then the length of a latus rectum of the ellipse is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C4
Step-by-step explanation
b2 = a2e2 . . . . . . (i)
S'B.SB = 8
S'B.SB = 16
a2e2 + b2 = 16 . . . . .(ii)
b2 = a2 (1 e2) . . . . .(iii)
using (i), (ii), (iii) a = 4
b =
e =
(L.R)
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This is a previous-year question from JEE Main 2019, 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.