JEE Main 2020 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 8 January 2020, Shift 2, Maths Q73

Question 73 of 75 in this shift, Maths question 23 of 25, Section B.

Let

f(x)

be a polynomial of degree 3 such that

f(-1) = 10

f(1) = -6

f(x)

has a critical point at

x = -1

and

f'(x)

has a critical point at

x = 1

. Then

f(x)

has a local minima at

x =

__________.

Official answer

3.00

NTA final key (Jan 2020).

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Determining Coefficients from Extrema

Same idea in other shifts

Asked 5× in all

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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.