👉 In mathematics, a hyperbola is a conic section that opens either horizontally or vertically. It is defined by two separate equations: 1. \(x^2/a^2 + y^2/b^2 = 1\) 2. \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\) Here, \(a\) and \(b\) are constants that determine the shape of the hyperbola.