Question

In a hyperbola the distance between the foci is 2 and the distance between directrices is 1 Its eccentricity is

• A. $\sqrt{3}$
• B. $\frac{3}{2}$
• C. $\sqrt{2}$
• D. $\frac{5}{2}$

Answer 1

The correct option is C

$\sqrt{2}$

s$s^1=2\Rightarrow 2ae=2$

$Z{Z}^1=1\Rightarrow \frac{2a}{e}$ = 1

$\to$ $e^2=2$ $\Rightarrow$ e = $\sqrt{2}$