Download the app

Questions  

If 1,ω,ω2,,ωn1 are n, nth roots of unity, the value of (9ω)9ω29ωn1 will be

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
n
b
0
c
9n−18
d
9n+18

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

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

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

ctaimg

Create Your Own Test
Your Topic, Your Difficulty, Your Pace


Similar Questions

If α=cos8π11+isin8π11,  where  i=1    then Re α+α2+α3+α4+α5  is


whats app icon
phone icon