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If `1,alpha_1,alpha_2,alpha_3,.........,alpha_(3n)` be the roots of the eqution `x^(3n+1) - 1 =0`, and w be an imaginary cube root of unity, then `((w^2-alpha_1)(w^2-alpha_2)....(w^(3n)-alpha_(3n))) /((w-alpha_1)(w2-alpha)....(w-alpha_(3n)))`

A

`omega`

B

`-omega`

C

1

D

`omega^(2)`

Text Solution

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The correct Answer is:
C
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AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)
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