CUET · MATHS · PYQ PAPER 2025
The area (in square units) of the region bounded by the curves \(3 y^2=a x, y=a, a>0\) and \(y\) - axis is :
- A a
- B \(3 a\)
- C \(2 a^2\)
- D \(a^2\)
Answer & Solution
Correct Answer
(D) \(a^2\)
Step-by-step Solution
Detailed explanation
\(x = \frac{3y^2}{a}\) \(A = \int_{0}^{a} \frac{3y^2}{a} dy\) \(A = \frac{3}{a} \left[ \frac{y^3}{3} \right]_{0}^{a}\) \(A = \frac{3}{a} \left( \frac{a^3}{3} - 0 \right)\) \(A = a^2\)
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