It is is circle of radius centred at 4+4i.What is the modulus and argument of z in this case? I got an answer that was different to the one in the textbook.
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As I said above, that's not the correct answer.
rip, I'll have another go tonightAs I said above, that's not the correct answer.
The locus is not .
There are certain values of (specifically ) that need to be considered.
(By the way, is not on the unit circle so it's not necessary to explicitly exclude it if the locus was just the unit circle)
I'll post the solution tomorrow if nobody can figure it out.