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Determine the complex numbers $z$ for which $\frac{z + 5i}{z - 5}$ is real and $|z| = \sqrt{17}$. Give your answers in the form $z = x + iy$, where $x$ and $y$ are real.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
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This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Multiply the numerator and denominator by the conjugate of the denominator” …
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