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An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the minimum distance between the asteroid and the sun is AU. (Note that x and y are expressed in astronomical units, AU.)

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lm8127590
The minimum distance between the asteroid and the sun is 10 - 6 =4


The given hyperbolic path defined as
divide both the sides by 576,



The general equation of

hyperbola is written as
;

Compare with above mention equation
Here

The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10

The minimum distance between the asteroid and the sun is 10 -6 =4
elpink25

Answer: 4

Step-by-step explanation: I got this right on Edmentum.

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