JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 9 April 2024, Shift 2, Maths Q25

Question 25 of 90 in this shift, Maths question 25 of 30, Section B.

Let the set of all values of

p

, for which

f(x)=(p^2-6p+8)\left(\sin^2 2x-\cos^2 2x\right)+2(2-p)x+7

does not have any critical point, be the interval

(a, b)

. Then

16ab

is equal to __________.

Official answer

252

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Critical vs Stationary Points

Same idea in other shifts

Asked 3× in all

2 Apr 2026, Shift 1 · Q18The number of critical points of the function $f(x)=\begin{cases}\left|\frac{\sin x}{x}\right|, & x\neq0\\ 1, & x=0\end{cases}$ in the…HardSingle correct
25 Feb 2021, Shift 1 · Q87Let $f(x)$ be a polynomial of degree 6 in $x$ , in which the coefficient of $x^6$ is unity and it has extrema at $x = -1$ and $x = 1$ . If…HardNumerical value

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.