Let a be a complex number such that \( |a|1 \) and \( z_{1}, z_{2}, z_{3} \), ... be the vertice... VIDEO
Let a be a complex number such that \( |a|1 \) and \( z_{1}, z_{2}, z_{3} \), ... be the vertices of polygon such that \( z_{k}=1+a+a^{2}+ \) \( +a^{k-1} \) for all \( k=1,2,3, \ldots \). then \( z_{1}, z_{2}, \ldots \). lie within the circle
(a) \( \left|z-\frac{1}{1-a}\right|=\frac{1}{|a-1|} \)
(b) \( \left|z+\frac{1}{a+1}\right|=\frac{1}{|a+1|} \)
(c) \( \left|z-\frac{1}{1-a}\right|=|a-1| \)
(d) \( \left|z+\frac{1}{a+1}\right|=|a+1| \)
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