Question

If the eccentricity of two ellipses $\frac{x^{2}}{169}$+ $\frac{y^{2}}{25}$= 1 and $\frac{x^{2}}{a^{2}}$+ $\frac{y^{2}}{b^{2}}$= 1 are equal then $\frac{a}{b}$ =

• A. $\frac{5}{13}$
• B. $\frac{6}{13}$
• C. $\frac{13}{5}$
• D. $\frac{13}{6}$

Answer 1

Answer: (A)

$\frac{5}{13}$

Answer 2

$\sqrt{1 + \frac{b^{2}}{a}}$= $\sqrt{1 + \frac{25}{169}}$