Practicing Success
Practicing Success
CUET Preparation Today
| Area lying between the parabola \(y^{2}=4ax\) and its latus rectum is |
\(\frac{8}{3}a^{2}\) \(\frac{8}{3}a\) \(\frac{4}{3}a\) \(\frac{4}{3}a^{2}\) |
| \(\frac{8}{3}a^{2}\) |
| \(\begin{aligned}\text{Area}&=2\int_{0}^{a}2\sqrt{ax}dx\\ &=4\sqrt{a}\left[\frac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]_{0}^{a}\\ &=\frac{8}{3}a^{2}\end{aligned}\) |
