JEE Main 2018MathematicsArea Under CurvesMediumMCQ

JEE Main 2018 — Area Under Curves Question with Solution

JEE Main 2018 (16 Apr Online)

Question

If the area of the region bounded by the curves, y=x2, y=1x and the lines y=0 and x=tt>1 is 1 sq. unit, then t is equal to

Choose an option

Show full solutionCorrect option: A
Correct answer
Ae23

Step-by-step explanation

Area =∫01x2dx+∫1t1xdx=1

⇒13+lnt=1⇒t=e23

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About this question

This is a previous-year question from JEE Main 2018, 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.