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

NTA final key.

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

Same topic in other shifts

All Variable Separable Form questions

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.