How Do We Find The Locus Of Points?

-A Locus is the set of all points that satisfies a given condition.

-A locus is a general graph of a given equation.

There are five basic locus theorems (rules).
Each theorem will be explained in detail in the following sections under this topic. Even though the theorems sound confusing, the concepts are easy to understand.

Locus Theorem 1:

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.

Locus Theorem 2:

The locus of points at a fixed distance,d, from a line, l, is a pair of parallel lines d distance from l and on either side of l.

Locus Theorem 3:

The locus of points equidistant from two points, P and Q, is the perpendicular bisector of the line segment determined by the two points.

Locus Theorem 4:

The locus of points equidistant from two parallel lines, l₁ and l₂ , is a line parallel to both l₁ and l₂ and midway between them.

Locus Theorem 5:

The locus of points equidistant from two intersecting lines, l₁ and l₂, is a pair of bisectors that bisect the angles formed by l₁and l₂ .

Remember:
A locus is just a set of points.

You Now Know How To Find The Locus Of Points. Remember The Theorems, & Finding The Loci Of Points Will Be A Piece Of Cake ^.^

Source: Shnat's Notes & www.regentsprep.org/regents/math/geometry/GL1/What.htm