JEE Main 2020 — Ellipse Question with Solution
From: JEE Main 2020 (Online) 9th January Evening Slot
Question
The length of the minor axis (along y-axis) of
an ellipse in the standard form is . If this
ellipse touches the line, x + 6y = 8; then its
eccentricity is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let the equation of ellipse
, ()
Given 2b =
b =
We know, Equation of tangent y = mx ....(1)
Given tangent is x + 6y = 8
y = .....(2)
By comparing (1) and (2),
m = and =
=
e =
=
= =
, ()
Given 2b =
b =
We know, Equation of tangent y = mx ....(1)
Given tangent is x + 6y = 8
y = .....(2)
By comparing (1) and (2),
m = and =
=
e =
=
= =
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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.