Define Locus

There are different ways of defining locus.

i) When a point moves so as to always satisfy a given condition, or conditions, the path it traces out is called its locus under these conditions.

ii) If a point moves according to some given geometrical conditions, then the path traced out by the moving point is called its locus.

iii) The locus of a point is the path traced by it, when it moves under a given condition or conditions.

The locus or graph of a equation in two variables is the curve or straight line containing all the points, and only the points whose coordinates satisfy the equation.