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Jee Main 2025 — Medium JEE math MCQ

The area of the region bounded by the curves $x \left( 1 + y^2 \right) = 1$ and $y^2 = 2x$ is
  1. A. $2 \left( \frac{\pi}{2} - \frac{1}{3} \right)$
  2. B. $\frac{\pi}{2} - \frac{1}{3}$
  3. C. $\frac{\pi}{2} - \frac{1}{3}$
  4. D. $\frac{1}{3} \left( \frac{\pi}{2} - \frac{1}{3} \right)$

Solution

The correct option is **B**. (B. $\frac{\pi}{2} - \frac{1}{3}$)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
The area of the region bounded by the curves x(1+y2)=1x \left( 1 + y^2 \right) = 1 and y2=2xy^2 = 2x is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep