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finding centre of circle from half line- complex numbers

hi, looking for help on a question with half lines and loci. I have drawn out a half line with arg (Z -3+3i) = pi/2 however, the second part the question wants me to find a complex number representing the centrewith the circle. I don't know how to do that.
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Original post by panda34678
hi, looking for help on a question with half lines and loci. I have drawn out a half line with arg (Z -3+3i) = pi/2 however, the second part the question wants me to find a complex number representing the centrewith the circle. I don't know how to do that.

Probably help to see that part of the question.

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