Locus of a Point Equidistant from a Fixed Point

Rarely Tested

Locus of a Point Equidistant from a Fixed Point

## Formula

For a fixed point $$A(h,k)$$ and variable point $$P(x,y)$$, if:

$$PA=r$$

then:

$$(x-h)^2+(y-k)^2=r^2$$

## Usage

- Used to obtain the locus of a point at a fixed distance from a fixed point.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.