JEE Main 2024 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 April 2024, Shift 2, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

Let

f(x)=3\sqrt{x-2}+\sqrt{4-x}

be a real valued function. If

\alpha

and

\beta

are respectively the minimum and the maximum values of

f

, then

\alpha^2+2\beta^2

is equal to

(1)24Official answer
(2)38
(3)44
(4)42Official answer

Official answer

Options 4 and 1

NTA final key: multiple options accepted. Either option scored full marks.

Chapter: Relations and Functions
Topic: Maxima and Minima
Idea tested: Optimization via Cauchy-Schwarz Inequality

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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.