18The standard form for calculating the equation of a parabola along the x-axis is expressed as:
where:
(h, k) is the center
(k±c, h) are the foci
is the directrix
From the question given, we can see that foci = (±5, 0)
k±c, h = ±5, 0
k = 0
h = 0
c = 5
From the directrix,
Also, we need to know that;
a² + b² = c²
10 + b² = 5²
b² = 25 - 10
b² = 15
Substituting the gotten values into the equation of a hyperbola;
This gives the required equation of the hyperbola.
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