Question

Area bounded by the parabola $y^2=4ax$ and its latus rectum is

• A. $\frac{4}{3}{a}^2$ sq. units
• B. $\frac{8}{3}{a}^2$ sq. units
• C. $\frac{3}{8}{a}^2$ sq. units
• D. $\frac{2}{3}{a}^2$ sq. units

Answer 1

The correct option is B $\frac{8}{3}{a}^2$ sq. units


The required area $=\frac{2}{3}\times$ rectangular area $PRSQ$
$=\frac{2}{3}(a\times 4a)=\frac{8a^2}{3}\text{sq.units}$