OCR MEI
Further Pure Core
2020
November
— Question 10
Exam Board
OCR MEI
Module
Further Pure Core (Further Pure Core)
Year
2020
Session
November
Topic
Complex numbers 2
Write down, in exponential ( \(r \mathrm { e } ^ { \mathrm { i } \theta }\) ) form, the complex numbers represented by the points \(\mathrm { A } , \mathrm { B }\), \(\mathrm { C } , \mathrm { D } , \mathrm { E }\) and F .
When these complex numbers are multiplied by the complex number \(w\), the resulting complex numbers are represented by the points G, H, I, J, K and L.
Find \(w\) in exponential form.
You are given that \(\mathrm { G } , \mathrm { H } , \mathrm { I } , \mathrm { J } , \mathrm { K }\) and L represent roots of the equation \(z ^ { 6 } = p\).
Find \(p\).