/

Learn

Saturday, 31 October

/

JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 31 January 2024, Shift 1, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

The solution curve of the differential equation

y\frac{dx}{dy}=x(\log_ex-\log_ey+1),\ x>0,\ y>0

passing through the point

(e,1)

is

(1) $2\left|\log_e\frac{x}{y}\right|=y+1$
(2) $\left|\log_e\frac{y}{x}\right|=y^2$
(3) $\left|\log_e\frac{y}{x}\right|=x$
(4) $\left|\log_e\frac{x}{y}\right|=y$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Differential Equations
Topic: Homogeneous Equations
Idea tested: Alternative Substitution x = vy

Same idea in other shifts

Asked 2× in all

25 Jun 2022, Shift 1 · Q18If the solution curve $y=y(x)$ of the differential equation $y^2\mathrm{d}x+(x^2-xy+y^2)\mathrm{d}y=0$ , which passes through the point…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.