Loci and Construction

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

The points have coordinates, in centimetres, $A = (0, 0)$ , $B = (4, 0)$ and $C = (4, 2)$ .

Point $P\,$ is 300 metres from $A$ .
Point $P\,$ is equidistant from $B\,$ and $C$ .

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

[3]

Loci and Construction Questions

162 exam-style questions on AQA GCSE Maths Loci and Construction. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank·Loci and Construction

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

The points have coordinates, in centimetres, $A = (0, 0)$ , $B = (4, 0)$ and $C = (4, 2)$ .

Point $P\,$ is 300 metres from $A$ .
Point $P\,$ is equidistant from $B\,$ and $C$ .

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

[3]

162 exam-style questions on AQA GCSE Maths Loci and Construction. Each one has a worked solution and a mark scheme showing where the marks go.