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

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3/2

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5/2

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Solution

The correct option is C

s $s^{1} = 2 \Rightarrow 2 a e = 2$

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

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

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Similar questions

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

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

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

3 : 2

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

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