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this question in complex numbers takes advantage of one of the strengths of complex numbers in that it represents a lot of ideas and concepts in a very succinct way because it uses symbols and algebra rather than having to you know rely on words or shapes and geometry however that also can be a bit of a disadvantage when youamp;#39;re trying to understand what it is that the question is asking you it clothes all of these ideas weamp;#39;re familiar with shapes and and words and it puts it in this very very succinct abstract form that makes you think what does the question even mean what is it asking me so we have to do a fair bit of interpretation to expand and translate as it were whatamp;#39;s happening into geometry and shapes and then we can sort of work with the algebra from there so letamp;#39;s dive in the complex number z satisfies the equation modulus for z minus 1 equals 1. weamp;#39;ll come back to this idea in a minute like what exactly this means prove that and then h