JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 26 June 2022, Shift 1, Maths Q8

Question 8 of 90 in this shift, Maths question 8 of 30, Section A.

The sum of the absolute minimum and the absolute maximum values of the function

f(x) = |3x - x^2 + 2| - x

in the interval

[-1, 2]

is :

(1) $\frac{\sqrt{17}+3}{2}$ Official answer
(2) $\frac{\sqrt{17}+5}{2}$
(3)5
(4) $\frac{9-\sqrt{17}}{2}$

Official answer

Option 1

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Extrema of Absolute Value Functions

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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.