Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±5), vertices: (0, ±1)

Answer 1

This is vertical hyperbola. We have y²/a² - x²/b² = 1, a = 1 , c = 5; b² = c² - a² = 25 - 1 = 24

Equation of hyperbola: y²/1 - x²/24 = 1