CUET · MATHS · PYQ PAPER 2025
Area (in sq. units) of the region bounded by the curve \(y^2=4 x\) y-axis and the line y = 3 is
- A \(\frac{9}{4}\)
- B 2
- C 3
- D \(\frac{9}{2}\)
Answer & Solution
Correct Answer
(A) \(\frac{9}{4}\)
Step-by-step Solution
Detailed explanation
\(x = \frac{y^2}{4}\) \(A = \int_{0}^{3} \frac{y^2}{4} \, dy\) \(A = \frac{1}{4} \left[ \frac{y^3}{3} \right]_{0}^{3}\) \(A = \frac{1}{4} \left( \frac{3^3}{3} \right)\) \(A = \frac{9}{4}\)
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