In: Math
Find the equation of the hyperbola with:
(a) Foci (1, −3) and (1, 5) and one vertex (1, −1).
(b) Vertices (2, −1) and (2, 3), and asymptote x = 2y.
Consider the set of points described by the equation 16x2 −4y2 −64x−24y+19=0.
(a) Show that the given equation describes a hyperbola and find the center of the hyperbola.
(b) Determine the equations of the directrices as well as the eccentricity.
1 (a)
(b)
2(a)
(b) Eccentricity =
Directrix => x =
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