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JEE Main 2022 · MathsNumerical answerNumerical valueMediumApplication

JEE Main 28 July 2022, Shift 1, Maths Q23

Question 23 of 90 in this shift, Maths question 23 of 30, Section B.

Let

f:[0,1]\to\mathbf{R}

be a twice differentiable function in

(0,1)

such that

f(0)=3

and

f(1)=5

. If the line

y=2x+3

intersects the graph of

f

at only two distinct points in

(0,1)

, then the least number of points

x\in(0,1)

, at which

f''(x)=0

, is __________.

Official answer

2

NTA final key (2022 Session 2).

Chapter: Application of Derivatives
Topic: Rolle's Theorem
Idea tested: Higher-Order Derivative Roots

Same topic in other shifts

All Rolle's Theorem questions

8 Jan 2020, Shift 1 · Q59If c is a point at which Rolle's theorem holds for the function, $f(x)=\log_e\left(\dfrac{x^2+\alpha}{7x}\right)$ in the interval $[3,4]$ ,…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 42 of the 174 JEE Main shifts held from 2017 to 2026.