Question 2 - A-Level Maths

2 The complex number \(3 + 4 \mathrm { i }\) is denoted by \(a\).

Find \(| a |\) and \(\arg a\).
Sketch on a single Argand diagram the loci given by
(a) \(| z - a | = | a |\),
(b) \(\arg ( z - 3 ) = \arg a\).