JEE Main 7 April 2025, Shift 2, Maths Q3

Question 3 of 75 in this shift, Maths question 3 of 25, Section A.

The number of real roots of the equation

x|x-2|+3|x-3|+1=0

is :

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

Official answer

Option 1

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.