CAIE P3 2024 November — Question 4

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2024
SessionNovember
TopicComplex Numbers Arithmetic
TypeSolving equations involving complex fractions
4 Find the complex number \(z\) satisfying the equation $$\frac { z - 3 \mathrm { i } } { z + 3 \mathrm { i } } = \frac { 2 - 9 \mathrm { i } } { 5 }$$ Give your answer in the form \(x + \mathrm { i } y\), where \(x\) and \(y\) are real.
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