JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 29 June 2022, Shift 2, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

Let

\alpha

be a root of the equation

1 + x^2 + x^4 = 0

. Then the value of

\alpha^{1011} + \alpha^{2022} - \alpha^{3033}

is equal to :

(1) $1$ Official answer
(2) $\alpha$
(3) $1 + \alpha$
(4) $1 + 2\alpha$

Official answer

Option 1

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Roots of Unity
Idea tested: Equations Reducible to Roots of Unity

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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.