JEE Main 2019 — Ellipse Question with Solution
From: JEE Main 2019 (Online) 10th April Morning Slot
Question
If the line x – 2y = 12 is tangent to the ellipse at the point , then the length of the latus
rectum of the ellipse is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B9
Step-by-step explanation
Equation of tangent at to is
which is equivalent to x – 2y = 12
(On comparing)
and
a = 6 and b =
So latus rectum =
which is equivalent to x – 2y = 12
(On comparing)
and
a = 6 and b =
So latus rectum =
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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.