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In mathematics, a locus refers to the set of all points (usually in a plane) that satisfy a particular condition or set of conditions. It can be thought of as the path traced out by a point moving under given constraints. Loci are fundamental in geometry and algebra, helping to define shapes, curves, and patterns based on equations or geometric properties. Understanding loci helps in solving problems involving motion, optimization, and geometric constructions, providing a precise way to describe and analyze spatial relationships and patterns in mathematical contexts.
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