Home
Class 12
MATHS
If omega is the cube root of unity then ...

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

A

3

B

`omega^2`

C

`1 - omega`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    KCET PREVIOUS YEAR PAPERS|Exercise MCQs|59 Videos

  • MODEL TEST PAPER - 7

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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

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

If w is a complex cube-root of unity then,

If omega is a complex cube root of unity , then the matrix A = [(1,omega^(2),omega),(omega^(2),omega,1),(omega,1,omega^(2))] is a :

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)]]

If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(7)=

If omega(ne 1) is a cube root of unity, then |{:(1,1+omega^(2),omega^(2)),(1-i,-1,omega^(2)-1),(-i,-1+omega,-1):}| equals :

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

If omega is a cube root of unity (1-2 omega+omega^(2))^(6)=

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER - 1-MATHEMATICS
  1. If {:[(3,4),(-2,3)]:}{:[(x),(y)]:}={:[(11),(4)]:}, then the values of ...

    Text Solution

    |

  2. The value of the determinant {:abs((1,a,b+c),(1,b,c+a),(1 , c,a+b)):} ...

    Text Solution

    |

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

    Text Solution

    |

  4. The inverse of the matrix {:[(a,b),(c,d)]:} is

    Text Solution

    |

  5. Eigen values of the matrix A={:[(3,+2),(1,2)]:} are

    Text Solution

    |

  6. In four numbers given the first three numbers are in G.P. and the last...

    Text Solution

    |

  7. One of the following is perpendicular to 2hati + 2hatj - hatk

    Text Solution

    |

  8. If hatl and hatm are unit vectors and theta is the angle between then ...

    Text Solution

    |

  9. A particle is displaced from the point whose position vector is 5hati+...

    Text Solution

    |

  10. The magnitude of the torque about the point 3hati + 2hatj -2hatk of fo...

    Text Solution

    |

  11. The set z = { 1, 2, 3, 4} is an abelian group under

    Text Solution

    |

  12. If in the standard from of the cubic x^3 + 3Hx + G = 0 where H and G ...

    Text Solution

    |

  13. The number of permutations of n different things not more than r and n...

    Text Solution

    |

  14. If the binary oprationis defined by a^(**)b = a + b -5 over Z., the i...

    Text Solution

    |

  15. The equation of the circle the two ends of its diameter are (a, 2a) an...

    Text Solution

    |

  16. The equation of the circle passing thhroguh the centre of the circle C...

    Text Solution

    |

  17. The value of k for which the circles x^2 - y^2 + 3x - 7y +k = 0 and x^...

    Text Solution

    |

  18. The radical axis of the circles C1 =x^2 + y^2 + 4x + 8 y + 6 = 0 and ...

    Text Solution

    |

  19. The limiting points of the co-axial system determined the circle s x^2...

    Text Solution

    |

  20. The euation of the parablola with its axis parallel to x - axis and pa...

    Text Solution

    |