JEE Main 2019MathematicsArea Under CurvesEasyMCQ

JEE Main 2019 — Area Under Curves Question with Solution

JEE Main 2019 (10 Apr Shift 1)

Question

The region represented by x-y≤2 and x+y≤2 is bounded by a

Choose an option

Show full solutionCorrect option: D
Correct answer
Dsquare of side length 22 units.

Step-by-step explanation

x+y=2⇒x+y=2 and x+y=–2

x–y=2 ⇒x –y=2 and x–y=–2

So, the region bounded by the given curves, i.e., pairs of straight lines, is a square.

Now, length of side of square=distance between parallel lines x+y=2 and x+y=-2

=2--21+1=42=22

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About this question

This is a previous-year question from JEE Main 2019, 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.