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Overview

locus


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A locus (in the plane) is the set of all points in the plane that satisfy some given condition or property. For example, the locus of all points that are a given distance from a fixed point is a circle; the locus of all points equidistant from two given points, A and B, is the perpendicular bisector of AB. If, in a given coordinate system, a locus can be expressed in the form {(x, y),| f(x, y)=0}, the equation f(x, y)=0 is called an equation of the locus (in the given coordinate system). The equation may be said to ‘represent’ the locus.


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