JEE Main 2020MathematicsArea Under CurvesHardMCQ

JEE Main 2020 — Area Under Curves Question with Solution

JEE Main 2020 (06 Sep Shift 1)

Question

The area (in sq. units) of the region A=(x,y):|x|+|y|≤1,2y2≥|x|
 

Choose an option

Show full solutionCorrect option: D
Correct answer
D56

Step-by-step explanation

  

Required area is, A=arOAC+arΔABC

⇒A=4∫01/22y2dy+12·12·12

⇒A=423y301/2+18=56

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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.