/

Learn

Saturday, 31 October

/

JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 February 2021, Shift 2, Maths Q84

Question 84 of 90 in this shift, Maths question 24 of 30, Section B.

Let 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,

|a|

is equal to __________.

Official answer

2

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

24 Jun 2022, Shift 2 · Q11The number of distinct real roots of the equation $x^7 - 7x - 2 = 0$ isMediumSingle 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.