| Exam Board | SPS |
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| Module | SPS FM (SPS FM) |
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| Year | 2021 |
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| Session | November |
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| Topic | Complex Numbers Argand & Loci |
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3. The point \(P\) represents a complex number \(z\) on an Argand diagram such that
$$| z - 6 i | = 2 | z - 3 |$$
Show that, as \(z\) varies, the locus of \(P\) is a circle, stating the radius and the coordinates of the centre of this circle.
[0pt]
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