Question

Area bounded by the curve $x=a\cos \theta ,y=b\sin \theta$ is:

• A. $\pi ab$ sq. units
• B. $\frac{\pi ab}{4}$ sq. units
• C. $2\pi ab$ sq. units
• D. $\frac{\pi ab}{2}$ sq. units

Answer 1

Answer: (A)

$\pi ab$ sq. units

$x=a\cos \theta ,y=b\sin \theta$
$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$
area bounded by curve.It is an ellipse
area of the ellipse is $\pi \left(a\right)\left(b\right)$