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  1. Hyperbola - Wikipedia

    In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called …

  2. Hyperbola - Math is Fun

    Did you know that the orbit of a spacecraft can sometimes be a hyperbola? A spacecraft can use the gravity of a planet to alter its path and propel it at high speed away from the planet and …

  3. Hyperbola - Equation, Properties, Examples | Hyperbola Formula

    What is Hyperbola? A hyperbola, a type of smooth curve lying in a plane, has two pieces, called connected components or branches, that are mirror images of each other and resemble two …

  4. Hyperbolas: Their Equations, Graphs, and Terms | Purplemath

    An hyperbola looks like two parabolas opening in opposite directions. The term comes from the Greek word for excess, and refers to the eccentricity.

  5. Algebra - Hyperbolas

    Nov 16, 2022 · In this section we will graph hyperbolas. We introduce the standard form of an ellipse and how to use it to quickly graph a hyperbola.

  6. Hyperbola - Equation, Definition & Properties - GeeksforGeeks

    Oct 24, 2025 · A hyperbola is one of the fundamental shapes in geometry formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected. …

  7. Hyperbola: Equation, Eccentricity and Graph with Examples

    Oct 27, 2025 · A hyperbola is a conic section defined by the constant difference of distances from any point on the curve to two fixed foci.