JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 February 2021, Shift 1, Maths Q65

Question 65 of 90 in this shift, Maths question 5 of 30, Section A.

If Rolle's theorem holds for the function

f(x) = x^3 - ax^2 + bx - 4

x \in [1, 2]

with

f'\left(\frac{4}{3}\right) = 0

, then ordered pair (a, b) is equal to :

(1)(5, 8)Official answer
(2)(5, $-8$ )
(3)( $-5$ , 8)
(4)( $-5$ , $-8$ )

Official answer

Option 1

NTA final key.

Chapter: Application of Derivatives
Topic: Rolle's Theorem
Idea tested: Parameter Evaluation

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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.