Question

The area bounded by the curve $2x^2+y^2=2$ is

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

Answer 1

Answer: (B)

Area bounded by the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$
between limits $x=a$ to $x=b$ is $\pi ab$
Here, $a=1$, $b=\sqrt{2}$
Required area $=\pi \sqrt{2}$ sq. units.