The path traced by a moving point under some specified geometrical condition is called its locus.

**Locus**

**Definition 3.1**

**The path traced by a moving point under some specified geometrical condition is called its locus.**

** **

**1. Equation of a locus**

Any relation in *x* and *y* which is satisfied by every point on the locus is called the equation of the locus.

For example,

i. The locus of a point *P* ( *x*1, *y*1) whose distance from a fixed point *C*(*h*, *k*) is constant, is a circle. The fixed point ‘*C*’ is called the centre.

ii. The locus of a point whose distances from two points *A* and *B* are equal is the perpendicular bisector of the line segment *AB*.

Tags : Definition, Formula, Solved Example Problems, Exercise | Mathematics , 11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry : Locus | Definition, Formula, Solved Example Problems, Exercise | Mathematics