JEE Main 2018 — Differential Equations Question with Solution
From: JEE Main 2018 (Online) 16th April Morning Slot
Question
The differential equation representing the family of ellipse having foci eith on the x-axis or on the -axis, center at the origin and passing through the point (0, 3) is :
Choose an option
Show full solutionCorrect option: D
Correct answer
Dxy y' y2 + 9 = 0
Step-by-step explanation
Equation of ellipse,
As ellipse passes through (0, 3)
b2 = 9
Equation of ellipse becomes,
Differentiating w.r.t x, we get,
+ .
=
(1)
We got earlier,
= 1
putting value of equation (1) here,
xyy' + y2 = 9
xyy' y2 + 9 = 0
As ellipse passes through (0, 3)
b2 = 9
Equation of ellipse becomes,
Differentiating w.r.t x, we get,
+ .
=
(1)
We got earlier,
= 1
putting value of equation (1) here,
xyy' + y2 = 9
xyy' y2 + 9 = 0
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This is a previous-year question from JEE Main 2018, 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.