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

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.

Solutions

Expert Solution

1 (a)

(b)

2(a)

(b) Eccentricity =

Directrix => x =

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Feel free to ask any questions in the comments section
Thank You!

milcah answered 1 year ago

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