| Exam Board | Edexcel |
| Module | F2 (Further Pure Mathematics 2) |
| Year | 2014 |
| Session | June |
| Topic | Complex Numbers Argand & Loci |
7. The point \(P\) represents a complex number \(z\) on an Argand diagram, where
$$| z + 1 | = | 2 z - 1 |$$
and the point \(Q\) represents a complex number \(w\) on the Argand diagram, where
$$| w | = | w - 1 + \mathrm { i } |$$
Find the exact coordinates of the points where the locus of \(P\) intersects the locus of \(Q\).