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Latus Rectum of Hyperbola

In a hyperbol...

Question

In a hyperbola if the length of conjugate axis is 5 and the length of a latus rectum is 8, then the semi- transverse axis is

A

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B

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C

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D

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Solution

The correct option is C

$2 b = 5, \frac{2 b^{2}}{a} = 8 \Rightarrow a = \frac{25}{16}$

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