| Exam Board | WJEC |
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| Module | Further Unit 1 (Further Unit 1) |
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| Year | 2023 |
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| Session | June |
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| Topic | Complex Numbers Argand & Loci |
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6. The complex number \(z\) is represented by the point \(P ( x , y )\) in an Argand diagram. Given that
$$| z - 3 + \mathrm { i } | = 2 | z - 5 - 2 \mathrm { i } |$$
show that the locus of \(P\) is a circle and write down the coordinates of its centre.