Higher June 2018 Unit 1 Q8

8. The line \(AB\) is drawn below.
The point \(P\) lies above the line \(AB\).

The region in which \(P\) is located is such that

• \(P\) is nearer to point \(A\) than to point \(B\),
• \(B\hat{A}P \leqslant 60^\circ\),
• \(AP \geqslant 6\text{ cm}\).

Using a ruler and a pair of compasses, construct suitable lines and arcs to represent these conditions.
Construction arcs must be clearly shown.

Shade the region in which the point \(P\) is located. [5]

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