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Consider the set of points described by the equation 16x2 4y2 64x24y+19=0. (a) Show that the given equation describes a hyperbola and find the center

Consider the set of points described by the equation

16x2 4y2 64x24y+19=0.

(a) Show that the given equation describes a hyperbola and find the center of the hyperbola. (3) (b) Determine the equations of the directrices as well as the eccentricity

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