Let a,b,c be distinct complex numbers such that \( \frac{a}{1-b}=\frac{b}{1-c}=\frac{c}{1-a}=k \...
Let a,b,c be distinct complex numbers such that \( \frac{a}{1-b}=\frac{b}{1-c}=\frac{c}{1-a}=k \). Find the value of \( \mathrm{k} \).
(a) \( -\omega,-\omega^{2} \)
(b) \( -1, \omega \)
(c) \( \omega^{2}, 1 \)
(d) \( \omega, \omega^{2} \)
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