Home
Class 12
MATHS
If 1, omega, omega^(2) are the cube root...

If `1, omega, omega^(2)` are the cube roots of unity, then
`[[1, omega^(n),omega^(2n)],[omega^(n),omega^(2n),1],[omega^(2n), 1, omega^(n)]]`

A

0

B

1

C

`omega`

D

`omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

If 1,omega,omega^(2) are three cube roots of unity, then (1-omega+omega^(2))(1+omega-omega^(2)) is

If 1,omega,omega^(2) are the cube roots of unity then : (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(8)) is

1, omega, omega^(2) are cube roots of unit x, then their product is

If 1, omega , omega^(2) are the cube roots of unity then (1 + omega) (1 + omega^(2))(1 + omega^(4))(1 + omega^(8)) is equal to

If omega is a cube root of unity |(1, omega, omega^(2)),(omega, omega^(2), 1),(omega^(2), omega, 1)| =

If omega is the cube root of unity then {:abs((1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega)):} is

If 1,omega,omega^(2) are cube roots of unity, then the value of (1+omega)^(3)-(1+omega^(2))^(3) is :

If omega is a cube roots of unity then (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(8))=

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If z and w are two non-zero complex numbers such that |zw|=1 and arg(z...

    Text Solution

    |

  2. If ((1+i)/(1-i))^(x)=1, then x=

    Text Solution

    |

  3. If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...

    Text Solution

    |

  4. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi. Then ...

    Text Solution

    |

  5. If z=x-i y and z^(1 / 3)=p+i q then ((x)/(p)+(y)/(q)) div(p^(2)+q^(...

    Text Solution

    |

  6. If |z^(2)-1|=|z|^(2)+1, then z lies on :

    Text Solution

    |

  7. If the cube root of unity are 1,omega,omega^(2), then the roots of the...

    Text Solution

    |

  8. If omega=(z)/(z-(i)(3)) and |omega|=1, the z lies on

    Text Solution

    |

  9. If w=alpha+ibeta, where beta ne 0 and z ne 1, satisfies the condition ...

    Text Solution

    |

  10. The value of sum(k=1) ^(10)( sin "" ( 2kpi )/( 11) + i cos "" ( 2kpi )...

    Text Solution

    |

  11. If z^(2)+z+1=0 then sum(r=1)^(6)(z^(r)+(1)/(z^(r)))^(2)=

    Text Solution

    |

  12. If |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

  13. The values of x and y which satisfy the equation ((1+i) x-2 i)/(3+i)...

    Text Solution

    |

  14. The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...

    Text Solution

    |

  15. If z=((sqrt(3))/(2)+(i)/(2))^(5)+((sqrt(3))/(2)-(i)/(2))^(5), then:

    Text Solution

    |

  16. The points z(1),z(2),z(3),z(4) in complex plane are the vertices of a ...

    Text Solution

    |

  17. If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the comple...

    Text Solution

    |

  18. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

    Text Solution

    |

  19. If z(1), z(2), z(3) are three complex numbers in A.P., then they lie o...

    Text Solution

    |

  20. If z(1) and z(2) are two non-zero complex numbers such that |z(1)+z(2)...

    Text Solution

    |