JEE Main 2019 — Differential Equations Question with Solution
From: JEE Main 2019 (Online) 12th January Evening Slot
Question
If a curve passes through the point (1, –2) and has slope of the tangent at any point (x, y) on it as , then the curve also passes through the point :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
(Given)
I.F =
y.x2 =
=
This curve passes through (1, 2) C=
yx2 =
Now check option(s), Which is satisly by option (ii)
I.F =
y.x2 =
=
This curve passes through (1, 2) C=
yx2 =
Now check option(s), Which is satisly by option (ii)
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Differential Equations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2019, 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.