Aim: How do we find the locus of points?


The locus is the set of all points that satisfy a given condition. A locus is a general graph of a given equation.

The locus of points equidistant from a single point is a set of points, equidistant from the point in every direction

The locus of points equidistant from two points is the perpendicular bisector of the line segment connecting the two points

The locus of points equidistant from a line are two lines, on opposite sides, equidistant and parallel to that line

The locus of points equidistant from two parallel lines is another line, half-way between both lines, and parallel to each of them

                       The locus of points at a fixed distance, d, from point P is a circle with the given point P as its center and d as its radius.