- (i) Shade, on an Argand diagram, the set of points for which
$$| z - 3 | \leqslant | z + 6 i |$$
(ii) Determine the exact complex number \(w\) which satisfies both
$$\arg ( w - 2 ) = \frac { \pi } { 3 } \quad \text { and } \quad \arg ( w + 1 ) = \frac { \pi } { 6 }$$