JEE Advanced 2011 Mathematics question
Let , and a, b, c, x, y, z be non-zero complex numbers such that
a + b + c = x
a + bω + cω^2 = y
a + bω^2 + cω = z.
Then the value of is
Answer: 3
Solution
As printed, is a sixth root of unity, and then the given ratio is not a constant (it depends on a, b, c); for this reason the official key awarded marks to all candidates. The intended value is , a cube root of unity, with and $ω =
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