Edexcel CP AS 2020 June — Question 10

Exam BoardEdexcel
ModuleCP AS (Core Pure AS)
Year2020
SessionJune
TopicComplex Numbers Argand & Loci
  1. Given that there are two distinct complex numbers \(z\) that satisfy
$$\{ z : | z - 3 - 5 i | = 2 r \} \cap \quad z : \arg ( z - 2 ) = \frac { 3 \pi } { 4 }$$ determine the exact range of values for the real constant \(r\).
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