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If z(1),z(2),z(3),…,z(n-1) are the roots...

If `z_(1),z_(2),z_(3),…,z_(n-1)` are the roots of the equation `z^(n-1)+z^(n-2)+z^(n-3)+…+z+1=0`, where `n in N, n gt 2` and `omega` is the cube root of unity, then

A

`omega^(n) , omega^(2n)` are also the same equation.

B

`omega^(1//n), omega^(2//n)` are also the roots of the same equation.

C

`z_1, z_2, …., z_(n-1)` form a geometric progression.

D

None of these

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The correct Answer is:
C
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