Locus is a set of points where each point satisfies a given specific condition. Thus, locus is usually a curve. In particular, a locus can be a circle, a line, a parabola, a hyperbola, etc.
The locus of points which are at a constant distance r from a fixed point O is a circle. Here r is called the radius of circle and O is called the center of the circle.
The locus of points where the perpendicular distance from each point to a fixed line is d is the set of parallel lines to the given line.
Let P and Q be two points. Then the locus of points which are at equidistant from both the points P and Q is nothing but the perpendicular bisector of the line segment PQ.
Suppose two intersecting lines are given. Then the locus of points which are at a constant distance from the given two lines is the pair of angular bisectors of the given lines.
Suppose two parallel lines are given. Then the locus of points which are equidistant from the given two parallel lines is a line which is parallel to the given two lines and pass through the midway of two given parallel lines.
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