4. Let z = x + iy. If (z - 2i)/(2z - 1) is purely imaginary, find the locus of z in the Argand diagram. Discuss this locus. [8]
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If $z=x+j y$, determine the equations of the loci in the Argand diagram, defined by: (a) $\left|\frac{z+2}{z-1}\right|=2$ and (b) $\arg \left\{\frac{z-1}{z+2}\right\}=\frac{\pi}{2}$
If $z=x+j y$, determine the equations of the loci in the Argand diagram, defined by: (a) $\left|\frac{z+2}{z-1}\right|=2$ and (b) arg $\left\{\frac{2-1}{z+2}\right\}=\frac{\pi}{2}$
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