JEE Main 2012 — Area Under Curves Question with Solution
JEE Main 2012 (Offline)
Question
The area bounded between the parabolas and , and the straight line is
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Required area
$\begin{aligned}
& A=2\left[\int_0^2\left(3 \sqrt{y}-\frac{\sqrt{y}}{2}\right) d y\right]=2 \int_0^2 \frac{5 \sqrt{y}}{2} d y \\
& =5\left[\frac{y^{3 / 2}}{3 / 2}\right]_0^2=\frac{10}{3}\left[2^{3 / 2}-0\right]=\frac{20 \sqrt{2}}{3}
\end{aligned}$
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This is a previous-year question from JEE Main 2012, 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.