JEE Main 2019MathematicsArea Under CurvesEasyMCQ

JEE Main 2019 — Area Under Curves Question with Solution

JEE Main 2019 (12 Apr Shift 2)

Question

If the area (in sq. units) bounded by the parabola y2=4λx and the line y=λx, λ>0, is 19, then λ is equal to

Choose an option

Show full solutionCorrect option: D
Correct answer
D24

Step-by-step explanation

The given equations are y2=4λx and y=λx

Using above equations, we can write

λx2=4λx⇒λ2x2-4λx=0

⇒λxλx-4=0

⇒x=0 & x=4λ

Area =19=∫04λ4λx-λxdx

⇒4λx3232-λx2204λ=19

⇒λ=24

Hence, the required value is 24.

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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.