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Standard XI

Mathematics

Transverse Axis of Hyperbola

If the length...

Question

If the lengths of transverse and conjugate axis of the hypberbola are 4,2 then the distance Between the foci is

$4 \sqrt{5}$

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$8 \sqrt{5}$

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$\sqrt{5}$

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$2 \sqrt{5}$

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Solution

The correct option is D
$2 \sqrt{5}$

2a = 4 $\Rightarrow$ a = 1

2b = 2 $\Rightarrow$ b = 1 e = $\sqrt{1 + \frac{1}{4}} = \frac{\sqrt{5}}{2}$

$s s^{1} = 2 a e = 2.2 \frac{\sqrt{5}}{2} = 2 \sqrt{5}$

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Similar questions

If the lengths of transverse and conjugate axis of the hypberbola are 4,2 then the distance Between the foci is

Q. If

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If the lengths of transverse and conjugate axis of the hypberbola are 4,2 then the distance Between the foci is

The correct option is D 2√5 2a = 4 ⇒ a = 1 2b = 2 ⇒ b = 1 e = √1+14=√52 ss1=2ae=2.2√52=2√5

The correct option is D
$2 \sqrt{5}$

2a = 4 $\Rightarrow$ a = 1

2b = 2 $\Rightarrow$ b = 1 e = $\sqrt{1 + \frac{1}{4}} = \frac{\sqrt{5}}{2}$

$s s^{1} = 2 a e = 2.2 \frac{\sqrt{5}}{2} = 2 \sqrt{5}$