JEE Main 2013MathematicsArea Under CurvesMediumMCQ

JEE Main 2013 — Area Under Curves Question with Solution

JEE Main 2013 (07 Apr)

Question

The area (in square units) bounded by the curves y=x, 2y-x+3=0, X-axis and lying in the first quadrant is

Choose an option

Show full solutionCorrect option: C
Correct answer
C9 sq. units

Step-by-step explanation


First draw the given curves and represent the required area.

Eliminate x to find point of intersection of y=x and 2y-x+3=0

⇒2y-y2+3=0

⇒y2-2y-3=0

⇒y-3y+1=0

⇒y=3,-1
∴Required area A=∫09xdx-12×6×3

A=x3232 09-9

∴A=-9

Hence, area is 9 sq. units

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About this question

This is a previous-year question from JEE Main 2013, 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.