JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 16th March Evening Shift
Question
Let C1 be the curve obtained by the solution of differential equation
. Let the curve C2 be the
solution of . If both the curves pass through (1, 1), then the area enclosed by the curves C1 and C2 is equal to :
. Let the curve C2 be the
solution of . If both the curves pass through (1, 1), then the area enclosed by the curves C1 and C2 is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D 1
Step-by-step explanation
Put
It pass through (1, 1)
Similarly for second differential equation
Equation of curve is x2 + y2 2y = 0
Now required area is
sq. units
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This is a previous-year question from JEE Main 2021, covering the Differential Equations 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.