JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 September 2020, Shift 2, Maths Q58

Question 58 of 75 in this shift, Maths question 8 of 25.

Suppose

f(x)

is a polynomial of degree four, having critical points at

-1

, 0, 1. If

T = \{x \in \mathbf{R} \mid f(x) = f(0)\}

, then the sum of squares of all the elements of T is :

(1)4Official answer
(2)2
(3)6
(4)8

Official answer

Option 1

NTA final key (Sep 2020).

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Analyzing Polynomial Roots via Extrema

Same idea in other shifts

Asked 6× 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.