JEE Main 2016MathematicsArea Under CurvesHardMCQ

JEE Main 2016 — Area Under Curves Question with Solution

JEE Main 2016 (09 Apr Online)

Question

The area (in sq. units) of the region described by A=x,y| y≥x2-5x+4, x+y≥1, y≤0 is

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Show full solutionCorrect option: A
Correct answer
A196

Step-by-step explanation

The given equation is

A=x,y| y≥x2-5x+4,x+y≥1,y≤0 is

The equation x2-5x+4 is cutting the x- axis at x=1,4 

Required area =12×2×2+∫34x2-5x+4dx

=2+x33-5x22+4x34

=2+76=196 sq.units

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About this question

This is a previous-year question from JEE Main 2016, 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.