Edexcel FP2 2013 June — Question 1

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2013
SessionJune
TopicComplex numbers 2

  1. A transformation \(T\) from the \(z\)-plane to the \(w\)-plane is given by
$$w = \frac { z + 2 \mathrm { i } } { \mathrm { i } z } \quad z \neq 0$$ The transformation maps points on the real axis in the \(z\)-plane onto a line in the \(w\)-plane. Find an equation of this line.