   Chapter 10, Problem 8RCC

Chapter
Section
Textbook Problem

(a) Give a definition of a hyperbola in terms of foci. (b) Write an equation for the hyperbola with foci (±c, 0) and vertices (±a, 0). (c) Write equations for the asymptotes of the hyperbola in part (b).

(a)

To determine

To find: The definition of a hyperbola in terms of foci.

Explanation

Write the definition of a hyperbola in terms of foci.

A hyperbola is defined as the set of points in a plane such that the difference between the distances of two fixed point F1 and F2 is a constant.

The figure shows the hyperbola with two fixed points as shown in figure (1)

(b)

To determine

To find: The equation for the hyperbola with foci and vertices.

(c)

To determine

To find: The equation for the asymptotes of the hyperbola in part (b).

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