JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 28 June 2022, Shift 1, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

The number of real solutions of

x^7+5x^3+3x+1=0

is equal to ________.

(1)0
(2)1Official answer
(3)3
(4)5

Official answer

Option 2

NTA final key.

Chapter: Application of Derivatives
Topic: Monotonicity
Idea tested: Counting Roots using Monotonicity

Same idea in other shifts

Asked 2× in all

8 Apr 2024, Shift 1 · Q7For the function $f(x)=(\cos x)-x+1$ , $x\in\mathbb{R}$ , between the following two statements (S1) $f(x)=0$ for only one value of $x$ in…MediumTwo statements

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.