JEE Main 29 January 2024, Shift 1, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

Let

\alpha,\beta

be the roots of the equation

x^2-x+2=0

with

Im(\alpha)>Im(\beta)

. Then

\alpha^6+\alpha^4+\beta^4-5\alpha^2

is equal to ______.

Official answer

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Higher Degree Evaluation via Root Substitution

Same idea in other shifts

Asked 2× in all

25 Jun 2022, Shift 1 · Q26For a natural number n, let $\alpha_n=19^n-12^n$ . Then, the value of $\frac{31\alpha_9-\alpha_{10}}{57\alpha_8}$ 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.