Question

HELP PLEASE!!!

Answer 1

Find the constant difference for a hyperbola with foci at F1 (0, -10) and F2 (0, 10), and point on the hyperbola (0, 6).

Answer 2

example

Answer 3

Find the constant difference for a hyperbola with foci F1(-9,0) and F2(9,0) and the point on the hyperbola (3,?
Find the constant difference for a hyperbola with foci F1(-9,0) and F2(9,0) and the point on the hyperbola (3,0)

Answer 4

The center of the hyperbola is (0, 0), so c = 9.

x^2/a^2 - y^2/b^2 = 1
9/a^2 - 0/b^2 = 1
9 = a^2
a = 3

c^2 = a^2 + b^2
81 = 9 + b^2
72 = b^2

The constant difference is 2a, or 6.

The equation, by the way, would be x^2/9 - y^2/72 = 1