/

Learn

Saturday, 31 October

/

JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 25 July 2022, Shift 1, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

If

\alpha,\ \beta,\ \gamma,\ \delta

are the roots of the equation

x^4+x^3+x^2+x+1=0

, then

\alpha^{2021}+\beta^{2021}+\gamma^{2021}+\delta^{2021}

is equal to :

(1) $-4$
(2) $-1$ Official answer
(3) $1$
(4) $4$

Official answer

Option 2

NTA final key (2022 Session 2).

Chapter: Complex Numbers and Quadratic Equations
Topic: Roots of Unity
Idea tested: Sum of p-th Powers of Roots

Same idea in other shifts

Asked 2× in all

26 Feb 2021, Shift 1 · Q82The sum of $162^{\text{th}}$ power of the roots of the equation $x^3-2x^2+2x-1=0$ is _________.MediumNumerical 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.