Home
Class 12
MATHS
If omega ne 1 is a cubit root unity and ...

If `omega ne` 1 is a cubit root unity and `|(1,1,1),(1,-omega^(2)-1,omega^(2)),(1,omega^(2),omega^(7))|` = 3 k, then k is equal to

A

1

B

`-1`

C

`sqrt(3)i`

D

`-sqrt(3)i`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -07 ( UNSOLVED)

    FULL MARKS|Exercise PART- II|10 Videos

  • SAMPLE PAPER -07 ( UNSOLVED)

    FULL MARKS|Exercise PART -III|10 Videos

  • SAMPLE PAPER -04

    FULL MARKS|Exercise PART -I|1 Videos

  • SAMPLE PAPER -08 ( UNSOLVED)

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

If is a cubeth root of unity root of : (1-omega+omega^(2))^(4)+(1+omega-omega^(2))^(4) is :

If omega pm 1 is a cube root of unity, show that (1 - omega + omega^(2))^(6) + (1 + omega - omega^(2))^(6) = 128

If omega ne 1 is a cubic root of unit and (1 + omega)^(7) = A + B omega , then (A, B) equals

If omega is a non real cube root of unity, then (a+b)(a+b omega)(a+b omega^2)=

If omega is the cube root of unity, then then value of (1 - omega) (1 - omega^(2))(1 - omega^(4))(1 - omega^(8)) is

If omega pm 1 is a cube root of unity, show that (1 + omega) (1 + omega^(2))(1 + omega^(4))(1 + omega^(8))…(1 + omega^(2^(11))) = 1

If omega ne 1 is a cube root of unity, show that (i) (1-omega+omega^(2))^(6)+(1+omega-omega^(2))^(6)=128 (ii) (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(8))…2n terms=1

Let omega be a complex number such that 2omega+1=z where z=sqrt(-3.) If|1 1 1 1-omega^2-1omega^2 1omega^2omega^7|=3k , then k is equal to : -1 (2) 1 (3) -z (4) z