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JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 9 April 2024, Shift 1, Maths Q2

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

Let

\alpha,\beta

be the roots of the equation

x^2+2\sqrt{2}\,x-1=0

. The quadratic equation, whose roots are

\alpha^4+\beta^4

and

\frac{1}{10}\left(\alpha^6+\beta^6\right)

, is :

(1) $x^2-180x+9506=0$
(2) $x^2-190x+9466=0$
(3) $x^2-195x+9506=0$ Official answer
(4) $x^2-195x+9466=0$

Official answer

Option 3

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Equation Formation

Same idea in other shifts

Asked 2× in all

2 Sep 2020, Shift 2 · Q52Let $f(x)$ be a quadratic polynomial such that $f(-1)+f(2)=0$ . If one of the roots of $f(x)=0$ is 3, then its other root lies in :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.