A hyperbola is a math term meaning a curve in which the distances form either a fixed point or a straight line with a fixed ratio. The formula to find the eccentricity of a hyperbola is "E=C/A," with A being the distance from the center to the focus, and C being the distance from the center to the vertex. Math fans say that solving this formula is about as easy as solving for the area of a triangle, meaning it is not a difficult concept to master.
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A parabola has eccentricity 1, a hyperbola has eccentricity greater than 1.
A half of a hyperbola is defined as the locus of points such that the distance of the point from one fixed point (a focus) and its distance from a fixed line (the directrix) is a constant that is greater than 1 (the eccentricity). By symmetry, a hyperbola has two foci and two directrices.
If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.
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