| Exam Board | SPS |
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| Module | SPS FM Pure (SPS FM Pure) |
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| Year | 2024 |
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| Session | June |
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| Topic | Complex Numbers Argand & Loci |
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3. (a) Sketch on the Argand diagram below the locus of points satisfying the equation \(| z - 2 | = 2\).
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(b) Given that \(| z - 2 | = 2\) and \(\arg ( z - 2 ) = - \frac { \pi } { 3 }\), express \(z\) in the form \(a + b i\) where \(a , b \in \mathbb { R }\).
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