JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 25th February Morning Shift
Question
If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is , then this curve also passes through the point :
Choose an option
Show full solutionCorrect option: B
Correct answer
B(5, 5)
Step-by-step explanation
Given
y (0) = 0
&
Solution of D.E.
Now, at x = 0, y = 0 C = 2
y = x (x 2) 4 2 (x 2)
y = x2 4x
This curve passes through (5, 5)
y (0) = 0
&
Solution of D.E.
Now, at x = 0, y = 0 C = 2
y = x (x 2) 4 2 (x 2)
y = x2 4x
This curve passes through (5, 5)
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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.