JEE Main 2018MathematicsArea Under CurvesMediumMCQ

JEE Main 2018 — Area Under Curves Question with Solution

JEE Main 2018 (15 Apr)

Question

The area (in sq. units) of the region {x∈R: x≥0, y≥0, y≥x-2 and y≤x} is

Choose an option

Show full solutionCorrect option: C
Correct answer
C 103

Step-by-step explanation

y=x

x=x-2

(x)2-(x)-2=0

(x-2)(x+1)=0

x=2⇒x=4
Therefore, the area of the region is
∫04xdx- Area of ∆ABC

=23x3/2 04-12×2×2

=23×43/2-2
=163-2=103sq. unit

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Area Under Curves chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2018, covering the Area Under Curves chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.