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LFM Stats And Pure
Complex Numbers Argand & Loci
Q5
OCR MEI FP1 2005 June — Question 5
Exam Board
OCR MEI
Module
FP1 (Further Pure Mathematics 1)
Year
2005
Session
June
Topic
Complex Numbers Argand & Loci
5
Sketch the locus \(| z - ( 3 + 4 j ) | = 2\) on an Argand diagram.
On the same diagram, sketch the locus \(\arg ( z - 4 ) = \frac { 1 } { 2 } \pi\).
Indicate clearly on your sketch the points which satisfy both $$| z - ( 3 + 4 j ) | = 2 \quad \text { and } \quad \arg ( z - 4 ) = \frac { 1 } { 2 } \pi$$
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