JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 24 June 2022, Shift 2, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

The number of distinct real roots of the equation

x^7 - 7x - 2 = 0

(1)5
(2)7
(3)1
(4)3Official answer

Official answer

Option 4

NTA final key.

Chapter: Application of Derivatives
Topic: Rolle's Theorem
Idea tested: Polynomial Root Counting

Same idea in other shifts

Asked 2× in all

26 Feb 2021, Shift 2 · Q84Let a be an integer such that all the real roots of the polynomial $2x^5+5x^4+10x^3+10x^2+10x+10$ lie in the interval $(a, a+1)$ . Then,…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.