The length of the latus rectum of the hyperbola $x^{2} - 4 y^{2} = 4$ is

2

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Solution

The correct option is B $1$
$x^{2} - 4 y^{2} = 4$
$\Rightarrow \frac{x^{2}}{2^{2}} - \frac{y^{2}}{1} = 1$
$\Rightarrow a = 2, b = 1$
Thus length of the latus rectum is $= \frac{2 b^{2}}{a} = 1$
Hence, option 'B' is correct

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