the locus of points for which
$$| z - 2 - 5 \mathrm { i } | = 5$$
the locus of points for which
$$\arg ( z + 2 i ) = \frac { \pi } { 4 }$$
Indicate on your diagram the set of points satisfying both
$$| z - 2 - 5 i | \leqslant 5$$
and
$$\arg ( z + 2 \mathrm { i } ) = \frac { \pi } { 4 }$$
(2 marks)