The equation first represents the possible locations of the helicopter option first is correct.
What is hyperbola?
It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A pair of radar stations monitor the path of a helicopter.
The path will be a hyperbola.
The center of the hyperbola = (100/2, 0) = (50, 0)
(h, k) = (50, 0)
a = 60/2 = 30
b = 100 - 60 = 40
The standard equation of the hyperbola:
[tex]\rm \dfrac{x^2-h}{a^2}-\dfrac{y^2-k}{b^2}= 1[/tex]
[tex]\rm \dfrac{x^2-50}{30^2}-\dfrac{y^2-0}{40^2}= 1[/tex]
[tex]\rm \dfrac{x^2-50}{900}-\dfrac{y^2}{1600}= 1[/tex]
Thus, the equation first represents the possible locations of the helicopter option first is correct.
Learn more about the hyperbola here:
brainly.com/question/12919612
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