Question

What is the constant difference for a hyperbola with a foci f1 (- 8, 0) and F2 (8,0) and the point on the hyperbola (8, 30)

Answer 1

F1P - F2P = k ;
F1P =
`\sqrt{ (-8-8)^(2) + (0-30)^(2) } = √(64 + 900) = √(964) = 31.04;`
F2P =
`\sqrt{ (8-8)^(2) + (0-30)^(2) } = √(900) = 30;`
31.04 - 31 = 0.04 => k = 0.04 ;