1.

If n is a positive integer grater than unity and z is a complex satisfying the equation \[{{z}^{n}}={{(z+1)}^{n}},\]then

A. \[\operatorname{Re}(z)<2\]      
B. \[\operatorname{Re}(z)>0\]
C. \[\operatorname{Re}(z)=0\]        
D. z lies on \[x=-\frac{1}{2}\]
Answer» E.


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