1.

If \({\rm{a}} > 0{\rm{\;and\;z}} = \frac{{{{(1 + {\rm{i}})}^2}}}{{{\rm{a}} - {\rm{i}}}}\), has magnitude \(\sqrt {\frac{2}{5}} ,{\rm{\;then\;\bar z}}\) is equal to:

A. \(- \frac{1}{5} - \frac{3}{5}{\rm{i}}\)
B. \(- \frac{3}{5} - \frac{1}{5}{\rm{i}}\)
C. \(\frac{1}{5} - \frac{3}{5}{\rm{i}}\)
D. \(- \frac{1}{5} + \frac{3}{5}{\rm{i}}\)
Answer» B. \(- \frac{3}{5} - \frac{1}{5}{\rm{i}}\)


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