JEE Main 2020MathematicsArea Under CurvesMediumMCQ

JEE Main 2020 — Area Under Curves Question with Solution

JEE Main 2020 (09 Jan Shift 2)

Question

Given: fx=x,0≤x<1212,x=121-x,12<x≤1
and gx=x-122,x∈R. Then, the area (in sq. units) of the region bounded by the curves, y=fx and y=gx between the lines 2x=1 and 2x=3, is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B34-13

Step-by-step explanation


Required area = Area of trapezium ABCD -∫1/23/2x-122dx
=123-1212+1-32-13x-1231232
=34-13

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About this question

This is a previous-year question from JEE Main 2020, 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.