JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 31 August 2021, Shift 2, Maths Q70

Question 70 of 90 in this shift, Maths question 10 of 30, Section A.

\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{2^x y + 2^y \cdot 2^x}{2^x + 2^{x+y}\log_e 2}

y(0) = 0

, then for

y = 1

, the value of

x

lies in the interval :

(1) $\left(0, \frac{1}{2}\right]$
(2) $\left(\frac{1}{2}, 1\right]$
(3) $(1, 2)$ Official answer
(4) $(2, 3)$

Official answer

Option 3

NTA final key.

Chapter: Differential Equations
Topic: Variable Separable Form
Idea tested: Direct Integration

Same idea in other shifts

Asked 3× in all

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30 Jun 2022, Shift 1 · Q12Let $\frac{dy}{dx} = \frac{ax - by + a}{bx + cy + a}$ , a, b, $c \in \mathbf{R}$ , represents a circle with center $(\alpha, \beta)$ . Then,…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.