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Standard XII

Mathematics

Directrix of Hyperbola

In a hyperbol...

Question

In a hyperbola e = $\frac{9}{4}$ and the distance between the directrices is 3. Then the length of Transverse axis is

27/2

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27/8

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27/4

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17/4

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Solution

The correct option is C
27/4

e = $\frac{9}{4}$

$\frac{2 a}{(\frac{9}{4})} = 3$ $\Rightarrow$ 8a = 27 $\Rightarrow$ a = $\frac{27}{8}$

$2 a = \frac{27}{4}$

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Similar questions

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In a hyperbola e = 94 and the distance between the directrices is 3. Then the length of Transverse axis is

The correct option is C 27/4 e = 94 2a(94)=3 ⇒ 8a = 27 ⇒ a = 278 2a=274

In a hyperbola e = $\frac{9}{4}$ and the distance between the directrices is 3. Then the length of Transverse axis is

The correct option is C
27/4

e = $\frac{9}{4}$

$\frac{2 a}{(\frac{9}{4})} = 3$ $\Rightarrow$ 8a = 27 $\Rightarrow$ a = $\frac{27}{8}$

$2 a = \frac{27}{4}$