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Loci and Construction

$X$ , $Y\,$ and $Z\,$ are three landmarks on a park map. 1cm represents 50 metres.

$X$ $×\times$

$×Y\times Y$

$\times Z\,$

A fountain $F\,$ is 200 metres from $X$ . The fountain $F\,$ is equidistant from $Y\,$ and $Z$ .

Park map showing landmarks X, Y and Z marked by crosses.

On the map, show the possible positions of the fountain $F$ .

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Loci and Construction Questions

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