Loci and Construction

$X$ , $Y\,$ and $Z\,$ are three points on a map. 1 cm represents 2 km.

$X$ $×\times$

$×Y\times Y$

$\times Z\,$

Point $P\,$ is 6 km from $X$ . Point $P\,$ is equidistant from $Y\,$ and $Z$ .

On the map, show the possible positions of $P$ .

[3]

$X$ , $Y\,$ and $Z\,$ are three points on a map. 1 cm represents 2 km.

$X$ $×\times$

$×Y\times Y$

$\times Z\,$

Point $P\,$ is 6 km from $X$ . Point $P\,$ is equidistant from $Y\,$ and $Z$ .

On the map, show the possible positions of $P$ .

[3]

Loci and Construction Questions