Equidistant line from two fixed points
Each point P in turn on the red line is equidistant from points X and Y.
The red line represents the locus of points equidistant from X and Y.
Equidistant line from a fixed point(a circle)
All the points P lie on a locus of points the same distance from O (i.e on the perimeter of the circle)
Equidistant line from two lines joined at a vertex
Each point P in turn on the red line is equidistant from lines OX and OY.
The red line represents the locus of points equidistant from lines OX and OY.
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