Locus
Locus and its Equations
Locus and Its Equation
The path traced by a moving point under certain geometrical condition(s) is called the locus of the moving point. For example, if a point moves in a plane under the geometrical condition that its distance from a fixed point, say O, is always equal to a contant, say r, then the curve traced out by a moving point will be a circle with fixed point O as the centre and radius equal to constant r. Thus, the locus of a point is a circle with centre O and radius r.
Equation of a Locus
An equation is said to be the equation of locus of a moving point if :

the coordinates of every point on the locus satisfy the equation
 the coordinates of any point satisfy the equation, then the point must lie on the locus
Working Rule For Finding Equation of the Locus of a Po…
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