The God of all problems -1

Algebra Level 4

Let a,b,c be distinct complex numbers such that

a 1 − b = b 1 − c = c 1 − a = k . \frac{a}{1-b} = \frac{b}{1-c} = \frac{c}{1-a} = k.

Find the value of k.

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

-w or -w^2 -w +w or +w^2 +w

Avn Bha by avn bha , 22, India

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