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An ellipse whose length of minor axis is equal to half of length between foci, then eccentricity is
(1) $\frac{7}{2}$
(2) $\sqrt{17}$
(3) $\frac{2}{\sqrt{5}}$
(4) $\frac{3}{\sqrt{7}}$
$\because a e=2 b$
$\therefore \frac{4 b^{2}}{a^{2}}=e^{2}$
Or $4\left(1-e^{2}\right)=e^{2}$
$\therefore 4=5 e^{2} \Rightarrow e=\frac{2}{\sqrt{5}}$
BETA
