Area bounded by the curve \(y^{2}(2a-x)=x^{3}\) and the line \(x=2a\) is
Answer & explanation
Correct answer: option 4
\(\begin{aligned}\text{Area}&=2\int_{0}^{2a}ydx\\ &=2\int_{0}^{2a}\sqrt{\frac{x^{3}}{2a-x}}dx\\ &=6\pi a^2\end{aligned}\)
Correct answer: option 4