JEE Main 2021 · MathsNumerical answerNumerical valueMediumApplication

JEE Main 24 February 2021, Shift 1, Maths Q86

Question 86 of 90 in this shift, Maths question 26 of 30, Section B.

The minimum value of

\alpha

for which the equation

\frac{4}{\sin x} + \frac{1}{1 - \sin x} = \alpha

has at least one solution in

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

is ___________.

Official answer

NTA final key.

Chapter: Trigonometric Functions
Topic: Maxima and Minima
Idea tested: Optimization via AM-GM Inequality

Same idea in other shifts

Asked 5× in all

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