OCR MEI
Further Pure Core AS
2021
November
— Question 9
Exam Board
OCR MEI
Module
Further Pure Core AS (Further Pure Core AS)
Year
2021
Session
November
Topic
Complex Numbers Argand & Loci
9
On a single Argand diagram, sketch the loci defined by
\(\arg ( z - 2 ) = \frac { 3 } { 4 } \pi\),
\(\quad | z | = | z + 2 - i |\).
In this question you must show detailed reasoning.
The point of intersection of the two loci in part (a) represents the complex number \(w\).
Find \(w\), giving your answer in exact form.
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