Edexcel FP1 2013 January — Question 2

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2013
SessionJanuary
TopicComplex Numbers Arithmetic
TypeMulti-part questions with division as one step

2. $$z = \frac { 50 } { 3 + 4 \mathrm { i } }$$ Find, in the form \(a + \mathrm { i } b\) where \(a , b \in \mathbb { R }\),
  1. \(z\),
  2. \(z ^ { 2 }\). Find
  3. \(| z |\),
  4. \(\arg z ^ { 2 }\), giving your answer in degrees to 1 decimal place.