Find the complex number $z$ in the form $x+y\,\mathbf{i}$ where $x$, $y\in \mathbb{R}$ such that $\f

Question

Find the complex number $z$ in the form $x+y\,\mathbf{i}$ where $x$, $y\in \mathbb{R}$ such that $\frac{\mathbf{i}z}{z-2{{z}^{*}}-2}=-1$. [3] Given that $\left| z \right|=1$, find $\left| \frac{z-3\,\mathbf{i}}{1+3\,\mathbf{i}\,z} \right|$. [3]

Accepted Answer

(a) $z=-3+\mathbf{i}$ (b) $1$

2014 SAJC P2 Q4 [Modified]

2014 SAJC P2 Q4 [Modified]

Video Solution:

Solution:

Solution locked