Edexcel F2 2014 June — Question 7

Exam BoardEdexcel
ModuleF2 (Further Pure Mathematics 2)
Year2014
SessionJune
TopicComplex 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 \(Q\).