WJEC Further Unit 1 2018 June — Question 7

Exam BoardWJEC
ModuleFurther Unit 1 (Further Unit 1)
Year2018
SessionJune
TopicComplex Numbers Argand & Loci

7. The complex number \(z\) is represented by the point \(P ( x , y )\) in the Argand diagram and $$| z - 4 - \mathrm { i } | = | z + 2 |$$
  1. Find the equation of the locus of \(P\).
  2. Give a geometric interpretation of the locus of \(P\).