Question: In an Argand diagram, the points P and O represent the complex numbers w and z respectively. Given that W - 41 is purely imaginary,

In an Argand diagram, the points P and O represent the complex numbers w and z respectively. Given that W - 41 is purely imaginary, describe the locus of P. [4] W - 4 5 TT The complex number z satisfies arg (8i - z) = 6 On a single Argand diagram, sketch the loci of P and Q. Hence find the least value of z-w, giving your answer in exact surd form. [5]

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