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6. [Maximum mark: 8] Consider w= iz + 1, where w, zeC. (a) Find w when (1) = = 21 (#) z=1+1. [3] Point :

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6. [Maximum mark: 8] Consider w= iz + 1, where w, zeC. (a) Find w when (1) = = 21 (#) z=1+1. [3] Point : on the Argand diagram can be transformed to point w by two transformations (b) Describe these two transformations and give the order in which they are applied [3] (c) Hence, or otherwise, find the value of ? when w = 2 - 121

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