2020 ACJC CA2 Q3
The complex number $z$ is given by $z=\frac{{{\left( k+ka\mathbf{i} \right)}^{2}}}{{{\left( 1-a\mathbf{i} \right)}^{2}}}$, where $a$ and $k$ are positive real numbers.
(i)
Given that $\left| z \right|=3$, find the exact value of $k$.
[2]
(ii)
Given that $\arg \left( z \right)=\frac{2\pi }{3}$, find the exact value of $a$.
[3]
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One Comment
hello! the part (ii) written solution for this question is from a different question, but the video is correct.