Locus of a Point Equidistant from the Coordinate Axes

Rarely Tested

Locus of a Point Equidistant from the Coordinate Axes

## Formula

If a point $$P(x,y)$$ is equidistant from the $$x$$-axis and $$y$$-axis:

$$|x|=|y|$$

or:

$$y=\pm x$$

## Usage

- Used to obtain the pair of angle bisectors of the coordinate axes.

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