Find the equation of the hyperbola with: (a) Foci (1, −3) and (1, 5) and one...

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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 findthe center of the hyperbola.

(b) Determine the equations of the directrices as well as theeccentricity.

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1 a b 2a b    See Answer
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