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(a) Let z = x + yi, where x and y are real numbers. Show that if |z| = |z-3+il, then y = 3x

(a) Let z = x + yi, where x and y are real numbers. Show that if |z| = |z-3+il, then y = 3x - 5. (b) Sketch the set S = (z EC : |Z| |z-3+il. 1z| 5) on an Argand diagram. (c) State the smallest value of Im(z), given that z ES

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