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Category : JEE Main & Advanced

The curve described by a point which moves under given condition or conditions is called its locus.



Equation to the locus of a point : The equation to the locus of a point is the relation, which is satisfied by the coordinates of every point on the locus of the point.



Algorithm to find the locus of a point



Step I : Assume the coordinates of the point say \[(h,\,\,k)\] whose locus is to be found.



Step II : Write the given condition in mathematical form involving \[h,\,\,k\].



Step III : Eliminate the variable (s), if any.



Step  IV : Replace \[h\] by \[x\] and \[k\] by \[y\] in the result obtained in step III. The equation so obtained is the locus of the point which moves under some stated condition (s).

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