JEE Main 2022MathematicsArea Under CurvesMediumMCQ

JEE Main 2022Area Under Curves Question with Solution

JEE Main 2022 (28 Jun Shift 2)

Question

The area of the bounded region enclosed by the curve y=3-x-12-x+1 and the x-axis is

Choose an option

Show full solutionCorrect option: C
Correct answer
C278

Step-by-step explanation

Plotting the graph of the function y=3-x+1-x-12 and x-axis, we get

Now applying the formula of area of trapezium which is 12×height×sum of parallel sides we get,

Required area of TrapABCD=12×32×3+32=278

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About this question

This is a previous-year question from JEE Main 2022, 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.