Determine the type of curve represented by the equation x 2 k 1 y 2 k 2 16 1 in each of

Chapter 10, Problem 55

(choose chapter or problem)

Determine the type of curve represented by the equation x 2 k 1 y 2 k 2 16 1 in each of the following cases: (a) k . 16 (b) 0 , k , 16 (c) k , 0 (d) Show that all the curves in parts (a) and (b) have the same foci, no matter what the value of k is.

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