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JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 June 2022, Shift 2, Maths Q7

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

If

m

and

n

respectively are the number of local maximum and local minimum points of the function

f(x)=\int_0^{x^2}\frac{t^2-5t+4}{2+e^t}\,dt

, then the ordered pair

(m, n)

is equal to

(1) $(3, 2)$
(2) $(2, 3)$ Official answer
(3) $(2, 2)$
(4) $(3, 4)$

Official answer

Option 2

NTA final key.

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

Same idea in other shifts

Asked 2× in all

9 Jan 2020, Shift 2 · Q61Let a function $f:[0,5]\to\mathbf{R}$ be continuous, $f(1)=3$ and $F$ be defined as : $F(x)=\int_1^x t^2g(t)\,dt$ , where…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.