what is locus in maths

10 months ago 19
Nature

In mathematics, a locus is a set of all points that satisfy one or more specified conditions). It is a term used in geometry to describe the path followed by a point or set of points that satisfy a particular equation or relation between the coordinates. The plural of locus is loci. The word locus is derived from the Latin word for "place" or "location").

For example, a circle is the locus of points on a plane that are a certain distance from a central point. Similarly, the set of all points that are equidistant from a given point forms a locus which is called a "circle". A locus can also be a straight line, a line segment, a curve, or a surface).

Locus is used in various branches of mathematics, including algebra, geometry, and calculus. It is used to describe the position of points, lines, and curves in space, and to solve problems related to geometry and algebra.