JEE Main 2019 — Ellipse Question with Solution
From: JEE Main 2019 (Online) 12th April Evening Slot
Question
An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Let is the equation of ellipse, focii
Given 2a = 4 a = 2
e2 = 1 - b2e2 = b2 - a2
4 = b2 - 4
b2 = 8
equation of ellipse is
then it passes through
Given 2a = 4 a = 2
e2 = 1 - b2e2 = b2 - a2
4 = b2 - 4
b2 = 8
equation of ellipse is
then it passes through
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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.