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LFM Stats And Pure
Complex Numbers Arithmetic
Q9
CAIE P3 2016 June — Question 9
Exam Board
CAIE
Module
P3 (Pure Mathematics 3)
Year
2016
Session
June
Topic
Complex Numbers Arithmetic
Type
Geometric properties using complex numbers
Sketch this diagram and state fully the geometrical relationship between \(O B\) and \(A C\).
Find, in the form \(x + \mathrm { i } y\), where \(x\) and \(y\) are real, the complex number \(\frac { u } { v }\).
Prove that angle \(A O B = \frac { 3 } { 4 } \pi\).
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