# The God of all problems -1

**Algebra**Level 3

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 k.

Note: In the options, \( \omega \) denotes the cube root of unity

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 k.

Note: In the options, \( \omega \) denotes the cube root of unity

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