Home
Class 12
MATHS
If omega is an imaginary cube root of un...

If `omega` is an imaginary cube root of unity and `omega=(-1+sqrt3i)/(2)` then `omega^(2)` =

A

`(-1+sqrt3i)/(2)`

B

`(1-sqrt3i)/(2)`

C

`(sqrt3i)/(2)`

D

`(-1-sqrt3i)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise EXERCISE 4 (VERY SHORT ANSWER TYPE QUESTIONS)|34 Videos
  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise EXERCISE 4(SHORT ANSWER TYPE QUESTION )|58 Videos
  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS(Multiple Corrrect Answer type)|11 Videos
  • CIRCLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (E. Assertion-Reason Type)|2 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If omega is an imaginary cube root of unity, show that (omega)/(9)[(1- omega)(1-omega^(2))(1- omega^(4))(1- omega^(8))+9((c+aomega+bomega^(2))/(aomega^(2)+b+comega))^(2)]=-1

If omega is an imaginary cube root of unity, show that (x+omega+ omega^(2))(x-omega^(2)-omega^(4))(x+omega^(4)+omega^(8))(x-omega^(8)-omega^(16)).."to" 2n factors =(x^(2)-1)^(n)

If omega is an imaginary cube root of unity, then the value of (1+ omega- omega^(2))(1- omega + omega ^(2)) is-

If omega be an imaginary cube root of unity, show that (1+omega-omega^(2))(1-omega+omega^(2))=4

If omega is an imaginary cube root of unity then the value of omega^n+omega^(2n) (where n is not a multiple of 3) is

If omega is an imaginary cube root of unity then the value of (2-omega),(2-omega^(2))+2(2-omega)(3-omega^(2))+....+(n-1)(n-omega)(n-omega^(2)) is

If omega is an imaginary cube root of unity. Find the value of the expression 1(2- omega)(2-omega^(2))+2(3-omega) +...+ (n-1)(n-omega)(n-omega^(2)) .

If omega be an imaginary cube root or unity, prove that (1- omega+ omega^(2)) (1-omega^(2)+ omega^(4)) (1- omega^(4)+ omega ^(8))..."to" 2 n th factor =2^(2n)

If omega is an imaginary cube root of unity, then (1+omega-omega^2)^7 is equal to (a) 128omega (b) -128omega (c) 128omega^2 (d) -128omega^2

If omega is the complex cube root of unity, then find omega^-97