JEE Main 2021 — Ellipse Question with Solution
From: JEE Main 2021 (Online) 1st September Evening Shift
Question
Let be the acute angle between the tangents to the ellipse and the circle at their point of intersection in the first quadrant. Then tan is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
The point of intersection of the curves and in the first quadrant is
Now slope of tangent to the ellipse at is
And slope of tangent to the circle at is m2
So, if angle between both curves is then
Option (b)
Now slope of tangent to the ellipse at is
And slope of tangent to the circle at is m2
So, if angle between both curves is then
Option (b)
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This is a previous-year question from JEE Main 2021, 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.