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If are n, nth roots of unity, the value of will be
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By Expert Faculty of Sri Chaitanya
a
n
b
0
c
9n−18
d
9n+18
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Correct option is C
let x=(1)1/nxn−1=0or xn−1=(x−1)(x−ω)x−ω2…x−ωn−1⇒xn−1x−1=(x−ω)x−ω2…x−ωn−1Putting x = 9 in both sides, we have(9−ω)9−ω29−ω3…9−ωn−1=9n−18
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