Question

Area bounded by the ellipse $2x^2+3y^2=1$ is _______

• A. $\frac{\pi }{6}$
• B. $\frac{\pi }{\sqrt{6}}$
• C. $6\pi$
• D. $\sqrt{6}\pi$

Answer 1

Answer: (B)

$A=\pi \cdot a\cdot b=\pi \cdot \frac{1}{\sqrt{2}}\cdot \frac{1}{\sqrt{3}}=\frac{\pi }{\sqrt{6}}$