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lapo4ka [179]
3 years ago
10

Please hurry this is urgent like I need to submit RIGHT NOWWW PLEASEEE

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

I'm sorry m8, but the picture won't load, what is it? The screen is just black

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Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola
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Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

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Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55

General equation of hyperbola is :

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1

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