JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 30 January 2024, Shift 2, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

The number of real solutions of the equation

x\left(x^2 + 3|x| + 5|x-1| + 6|x-2|\right) = 0

is ________.

Official answer

NTA final key.

Chapter: Relations and Functions
Topic: Quadratic Roots
Idea tested: Roots of Modulus Quadratics

Same idea in other shifts

Asked 3× in all

8 Apr 2025, Shift 2 · Q2The sum of the squares of the roots of $|x-2|^2 + |x-2| - 2 = 0$ and the squares of the roots of $x^2 - 2|x-3| - 5 = 0$ , isMediumSingle correct
8 Apr 2023, Shift 2 · Q22Let $m$ and $n$ be the numbers of real roots of the quadratic equations $x^2 - 12x + [x] + 31 = 0$ and $x^2 - 5|x + 2| - 4 = 0$ …HardNumerical 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 42 of the 174 JEE Main shifts held from 2017 to 2026.