JEE Main 2021 — Ellipse Question with Solution
From: JEE Main 2021 (Online) 26th February Evening Shift
Question
Let L be a common tangent line to the curves
4x2 + 9y2 = 36 and (2x)2 + (2y)2 = 31. Then the
square of the slope of the line L is __________.
4x2 + 9y2 = 36 and (2x)2 + (2y)2 = 31. Then the
square of the slope of the line L is __________.
Enter your answer
Show full solutionCorrect answer: 3
Correct answer
3
Step-by-step explanation
Tangent to the curve is
and equation of tangent to the curve is
for common tangent
and equation of tangent to the curve is
for common tangent
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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.