JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 5 April 2024, Shift 2, Maths Q30

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

The number of real solutions of the equation

x|x+5| + 2|x+7| - 2 = 0

is ________.

Official answer

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Curve Sketching
Idea tested: Graphical Root Counting

Same idea in other shifts

Asked 3× in all

29 Jan 2024, Shift 1 · Q24Let $f(x)=2^x-x^2$ , $x\in\mathbb{R}$ . If $m$ and $n$ are respectively the number of points at which the curves $y=f(x)$ and $y=f'(x)$ …MediumNumerical value
6 Apr 2023, Shift 2 · Q24The number of points, where the curve $y=x^5-20x^3+50x+2$ crosses the x-axis, is ________.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.