JEE Main 2017MathematicsArea Under CurvesMediumMCQ

JEE Main 2017 — Area Under Curves Question with Solution

JEE Main 2017 (02 Apr)

Question

The area (in sq. units) of the region x, y: x≥0, x+y≤3, x2≤4y and y≤1+x is

Choose an option

Show full solutionCorrect option: D
Correct answer
D52 sq. units

Step-by-step explanation

Required Area

=∫011+xdx+∫123-xdx-∫02x24dx

=x+23x3201+3x-x2212-x31202

=1+23+4-52-23

=52 sq. units

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About this question

This is a previous-year question from JEE Main 2017, 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.