## Locus of a point (mathematics)

**Locus :-**

If a point travels according to the given condition then path created by point is known as the locus of that point.

Or locus is a geometric shape where every point satisfies the given condition.

**Equation of the locus: **

A algebraic relations got from the geometric condition for any variable point (x,y) is known as equation of the locus.

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**Example:-**

**Find the locus of a point, which is always at equal distance from two points (-1,2) and (4,0).**

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Let the coordinate that point is P(h,k).

Now according to the given condition

Distance from p(h,k) to (-1,2) = distance from P(h,k) to (4,0)

So locus of point p(h,k) is