JEE Main 2020MathematicsArea Under CurvesHardMCQ

JEE Main 2020 — Area Under Curves Question with Solution

JEE Main 2020 (05 Sep Shift 2)

Question

The area (in sq. units) of the region A={(x,y):(x-1)[x]≤y≤2x,0≤x≤2}, where [t] denotes the greatest integer function, is :

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Show full solutionCorrect option: A
Correct answer
A832-12

Step-by-step explanation

y=[x](x-1)
=00≤x<1x-11≤x<2

Area=∫022x·dx-12(1)(1)=4x3/2302-12=823-12

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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.