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Question
If a > 0 and z = ${{{{\left( {1 + i} \right)}^2}} \over {a - i}}$, has magnitude $\sqrt {{2 \over 5}} $, then $\overline z $ is equal to :
$ - {1 \over 5} + {3 \over 5}i$
$ - {1 \over 5} - {3 \over 5}i$
${1 \over 5} - {3 \over 5}i$
$ - {3 \over 5} - {1 \over 5}i$

Solution

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