JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 February 2021, Shift 1, Maths Q82

Question 82 of 90 in this shift, Maths question 22 of 30, Section B.

The sum of

162^{\text{th}}

power of the roots of the equation

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

is _________.

Official answer

NTA final key.

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

25 Jul 2022, Shift 1 · Q2If $\alpha,\ \beta,\ \gamma,\ \delta$ are the roots of the equation $x^4+x^3+x^2+x+1=0$ , then…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 108 of the 174 JEE Main shifts held from 2017 to 2026.