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JEE Main 2024 · MathsNumerical answerNumerical valueEasyCalculation

JEE Main 6 April 2024, Shift 2, Maths Q26

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

If the solution

y(x)

of the given differential equation

(e^y+1)\cos x\,dx+e^y\sin x\,dy=0

passes through the point

\left(\frac{\pi}{2},0\right)

, then the value of

e^{y\left(\frac{\pi}{6}\right)}

is equal to ________.

Official answer

3

NTA final key.

Chapter: Differential Equations
Topic: Variable Separable Form
Idea tested: Separability Check

Same idea in other shifts

Asked 2× in all

3 Sep 2020, Shift 2 · Q62If $x^3 dy + xy\, dx = x^2 dy + 2y\, dx$ ; $y(2) = e$ and $x > 1$ , then $y(4)$ is equal to :MediumSingle 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.