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JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 9 April 2024, Shift 2, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

For a differentiable function

f:\mathbb{R}\to\mathbb{R}

, suppose

f'(x)=3f(x)+\alpha

, where

\alpha\in\mathbb{R}

,

f(0)=1

and

\lim_{x\to-\infty}f(x)=7

. Then

9f(-\log_e 3)

is equal to __________.

Official answer

61

NTA final key.

Chapter: Differential Equations
Topic: Linear Differential Equations
Idea tested: Asymptotic Behavior of LDE Solutions

Same idea in other shifts

Asked 2× in all

26 Jul 2022, Shift 2 · Q28Suppose $y=y(x)$ be the solution curve to the differential equation $\frac{dy}{dx}-y=2-e^{-x}$ such that $\lim_{x\to\infty}y(x)$ is…HardNumerical value

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.