Sketch on an Argand diagram the locus of points satisfying the equation
$$| z - 4 + 3 \mathrm { i } | = 5$$
Indicate on your diagram the point \(P\) representing \(z _ { 1 }\), where both
$$\left| z _ { 1 } - 4 + 3 \mathrm { i } \right| = 5 \quad \text { and } \quad \arg z _ { 1 } = 0$$