Question

Find an equation of the hyperbola having the given foci and difference of focal radii.

Answer 1

(0,-2),(8,-2);2

Answer 2

@ganeshie8

Answer 3

how would you explain what a 'difference of focal radii' defines?

Answer 4

is it the same as the distance between the two?

Answer 5

different authors use it differently.

its used by some to mean a distance from center to focus

others use it to define the common distance from focus to points on the curve.

Answer 6

from mathwords site. the focal radii of a hyperB is a constant and is the distance between verts

Answer 7

okay, do I use the distance formula?

Answer 8

lets f11,f2 be the foci
and p1 any point in the hyperbola
then the focal raddi = |p1f1-p1f2|