What does locus mean?

We will learn about the locus of a point here.

Answer: Locus is a set of points that satisfy the given geometric conditions.

Let's understand the meaning of locus using an example.

Explanation:

Locus is a set of points that satisfy the given geometric conditions. In other words, the path followed by a moving point and satisfying given conditions is called a locus of a point.

Let's consider an example.

Suppose we have a fixed point O and a moving point P. The point P moves with a condition that the distance between P and O is always constant. This means |OP| = k (constant).

We shall now see what path P can trace such that the distance OP is always constant.

So, this becomes a circle with center O and radius k.

Therefore, the locus is nothing but a set of points that satisfy the given geometric conditions.