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Question Number 15201 by tawa tawa last updated on 08/Jun/17

$$\mathrm{If}\mathrm{z}=\mathrm{x}+\mathrm{jy},\mathrm{where}\mathrm{x}\mathrm{and}\mathrm{y}\mathrm{are}\mathrm{real},\mathrm{show}\mathrm{that}\mathrm{the}\mathrm{locus}\mid \frac{\mathrm{z}-2}{\mathrm{z}+1}\mid =2\mathrm{is}\mathrm{a}\mathrm{circle}$$$$\mathrm{and}\mathrm{determine}\mathrm{its}\mathrm{centre}\mathrm{and}\mathrm{radius}.$$

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