On separate Argand diagrams, show the set of points representing each of the following inequalities.
\(| z | \leqslant \sqrt { 5 }\)
\(\quad | z + 2 - 4 i | \geqslant | z - 2 - 6 i |\)
Show that there is a unique value of \(z\), which should be determined, for which both \(| z | \leqslant \sqrt { 5 }\) and \(| z + 2 - 4 i | \geqslant | z - 2 - 6 i |\).