Question 1150044: Find the standard form of the equation of the hyperbola satisfying the given conditions.
x-intercepts (0,24) and (0,-24). foci at (-25,0) and (25,0)
The equation in standard form of the hyperbola is..
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
(0,24) and (0,-24) are y-intercepts, not x-intercepts.
I will assume you mean (-24,0) and (24,0).
The major axis is horizontal, and the center is at (0,0), so the equation in standard form is
a is the distance from the center of the hyperbola to each vertex (half the length of the transverse axis), which is 24.
b is half the length of the conjugate axis, which is not given.
a and b are related by the equation
where c is the distance from the center of the hyperbola to each focus, which is 25.
So
The equation of the hyperbola is
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