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  • A hyperbola has its axes along the coordinate axes. The distance  between the focii is 9 and its eccentricity is <img alt="\mathrm{\sqrt{3}}" src="https://entrancecorner.oncodec

A hyperbola has its axes along the coordinate axes. The distance 

between the focii is 9 and its eccentricity is \mathrm{\sqrt{3}} . The length of its

latus rectum is \mathrm{\lambda \sqrt{3}}. Then the value of \mathrm{\lambda } is

Option: 1

5


Option: 2

4


Option: 3

3


Option: 4

1


Answers (1)

best_answer

The length of transverse axes of the rectangular hyperbola

\mathrm{x y=C \text { is } \sqrt{2} C \text {. }}

So,  \mathrm{\sqrt{2 \times \frac{25}{2}}=\sqrt{25}=5}

 

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Sayak

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