Question

The eccentricity of the conic $9x^2+25y^2=225$ is:

• A. $\frac{2}{5}$
• B. $\frac{4}{5}$
• C. $\frac{1}{3}$
• D. $\frac{1}{5}$
• E. $\frac{3}{5}$

Answer 1

Answer: (B)

The given equation is $\frac{x^2}{25}+\frac{y^2}{9}=1$ The eccentricity, $e=\sqrt{1-\frac{9}{25}}$ $=\sqrt{\frac{16}{25}}$ $=\frac{4}{5}$