JEE Main 2025 — Area Under Curves Question with Solution
JEE Main 2025 (28 Jan Shift 2)
Question
The area of the region bounded by the curves and is:
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
$\begin{aligned}
& x\left(1+y^2\right)=1 \\
& y^2=2 x
\end{aligned}$
From equation (1) \& (2)
$\begin{aligned}
x(1+2 x)=1 & \Rightarrow 2 x^2+x-1=0 \\
& \Rightarrow x=\frac{1}{2}, x=-1 \text { (Reject) } \\
& \Rightarrow y^2=2\left(\frac{1}{2}\right) \\
& \Rightarrow y= \pm 1
\end{aligned}$
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This is a previous-year question from JEE Main 2025, 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.