OCR Further Pure Core 2 2019 June — Question 7

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
Year2019
SessionJune
TopicComplex Numbers Arithmetic
TypeGeometric properties using complex numbers

7 In an Argand diagram the points representing the numbers \(2 + 3 \mathrm { i }\) and \(1 - \mathrm { i }\) are two adjacent vertices of a square, \(S\).
  1. Find the area of \(S\).
  2. Find all the possible pairs of numbers represented by the other two vertices of \(S\).