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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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