JEE Main 2019MathematicsArea Under CurvesMediumMCQ

JEE Main 2019 — Area Under Curves Question with Solution

JEE Main 2019 (08 Apr Shift 2)

Question

Let Sα=x,y:y2≤x, 0≤x≤α  and Aα is area of the region Sα. If for a λ,0<λ<4, Aλ:A4=2:5, then λ equals:

Choose an option

Show full solutionCorrect option: C
Correct answer
C4 42513

Step-by-step explanation


Sλ=2∫0λx dx=2x32320λ
=43λ32
∴S4=43432
Given SλS4=25⇒λ32432=25
⇒λ=442513

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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.