JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 27th August Evening Shift
Question
A differential equation representing the family of parabolas with axis parallel to y-axis and whose length of latus rectum is the distance of the point (2, 3) from the line 3x + 4y = 5, is given by :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Length of latus rectum
differentiate w.r.t. 'x' :-
again differentiate
differentiate w.r.t. 'x' :-
again differentiate
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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.