Question bankLoci and Construction

Loci and Construction

$A$ , $B\,$ and $C\,$ are three points on a map.
1cm represents 100 metres.

$\times$
$×B\times B$
$\times C\,$

Point $P\,$ is $k\,$ metres from $A$ .
Point $P\,$ is equidistant from $B\,$ and $C$ .

On the map, show, in terms of $k$ , the possible positions of $P$ .

[3]

Question bankLoci and Construction

$A$ , $B\,$ and $C\,$ are three points on a map.
1cm represents 100 metres.

$\times$
$×B\times B$
$\times C\,$

Point $P\,$ is $k\,$ metres from $A$ .
Point $P\,$ is equidistant from $B\,$ and $C$ .

On the map, show, in terms of $k$ , the possible positions of $P$ .

[3]

Loci and Construction Questions