/

Learn

Saturday, 31 October

/

JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 25 July 2022, Shift 1, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

The general solution of the differential equation

(x-y^2)\,dx+y(5x+y^2)\,dy=0

is :

(1) $(y^2+x)^4=\mathrm{C}\,|(y^2+2x)^3|$ Official answer
(2) $(y^2+2x)^4=\mathrm{C}\,|(y^2+x)^3|$
(3) $|(y^2+x)^3|=\mathrm{C}\,(2y^2+x)^4$
(4) $|(y^2+2x)^3|=\mathrm{C}\,(2y^2+x)^4$

Official answer

Option 1

NTA final key (2022 Session 2).

Chapter: Differential Equations
Topic: Homogeneous Equations
Idea tested: Identifying Equations Reducible to Homogeneous Form

Same idea in other shifts

Asked 2× in all

29 Jul 2022, Shift 2 · Q9If the solution curve of the differential equation $\frac{dy}{dx}=\frac{x+y-2}{x-y}$ passes through the points $(2, 1)$ and $(k+1, 2)$ ,…HardSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.