The ___ of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.

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The focus of a hyperbola is one of two points such that the difference in the distances from any point on the hyperbola to the foci is a constant.

An example of a smooth curve that lies in a plane is a hyperbola. It can be categorized based on its geometric properties or on the equations for which it is the solution set. Two mirror pictures of one another that resemble two infinite bows make up a hyperbola. These two pieces are referred to be connected branches or components.

The collection of all points P in the plane that has a difference between their distances to two fixed points that is a specific constant is known as a hyperbola. A focus is each of the fixed points. (Focus is plural.) The focal radii are PF1 and PF2 if P is a point on the hyperbola and F1 and F2 are the foci.

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