A hyperbola, part of the family of conic sections, is distinctively characterized by an eccentricity that exceeds 1. You can determine its equation by applying the formula (x-h)²/a² - (y-k)²/b² = 1 or alternatively, (y-k)²/a² - (x-h)²/b² = 1. In these equations, (h,k) represents the center, while 'a' and 'b' signify the lengths of the hyperbola's axes.
| Topic | Problem | Solution |
|---|---|---|
| None | Given the foci of a hyperbola are at (0, 5) and (… | Step 1: The distance between the two foci is 10, so \(2c = 10\) and \(c = 5\). |