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In an Argand diagram, the point P represents the complex number z, where z = x+iy. Given that z + 2 = λi(z + 8), where λ is a real parameter, find the Cartesian equation of the locus of P as λ varies. If also z = µ(4 + 3i), where µ is real, prove that there is only one possible position for P.
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In an Argand diagram, the point P represents the complex number z, where z = x+iy. Given that z + 2...
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