Home
Class 11
MATHS
If w is a complex cube root unity then |...

If w is a complex cube root unity then `|{:(1,1+w,1+w^(2)),(1+w,1+w^(2),1),(1+w^(2),1,1+w):}|=`

A

`-2`

B

4

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS-PRACTICE EXERCISE|39 Videos

  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- EXERCISE - I|21 Videos

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - I|15 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If omega is a complex cube root of unity, then (x+1)(x+omega)(x-omega-1)

If (omega ne1) is a cube root of unity , then {:(1 , 1 + i+ omega^(2) , omega^(2)) , (1-i, -1 , omega^(2) -1) , (-i , -1 + omega - i, -1):}|

If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)) , (2 , 2omega^(2) , 4 omega^(3)) , (3 , 3 omega^(3) , 6 omega^(4)):}| =

If omega is complex cube root of 1 then S.T [(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega)]=0

If omega is a complex cube root of unity , then sum_(k = 1)^(6) ( omega^(k) + (1)/(omega^(k)))^(2) =

If omega is a complex cube root of unity , then (x + 1) ( x + omega) ( x- omega - 1) =

If omega is a cube root of unit, then Delta=|(x+1,omega, omega^(2)),(omega, x+omega^(2),1),(omega^(2),1,x+omega)|=

If omega is a complex cube root unity then sin { (omega^(10) + omega^(23)) pi - (pi)/(4)} equals

AAKASH SERIES-MATRICES -DETERMINANTS- EXERCISE - II
  1. |{:(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-a-b):}|=

    Text Solution

    |

  2. If a!=6,b,c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0 then abc

    Text Solution

    |

  3. If w is a complex cube root unity then |{:(1,1+w,1+w^(2)),(1+w,1+w^(2)...

    Text Solution

    |

  4. If alpha, beta, gamma are the roots of x^(3)+px+q=0 then |(alpha, beta...

    Text Solution

    |

  5. |(1,log(x)y,log(x)z),(log(y)x,1,log(y)z),(log(z)x,log(z)y,1)|=

    Text Solution

    |

  6. |(1//a,a^(2),bc),(1//b,b^(2),ca),(1//c,c^(2),ab)|=

    Text Solution

    |

  7. Let A=[(5,5 alpha, alpha),(0, alpha, 5 alpha),(0,0,5)] If |A|^(2)=25 t...

    Text Solution

    |

  8. If k gt1, and the determinant of the matrix A^(2), where A=[(k,kalpha,...

    Text Solution

    |

  9. If bc+ca+ab=18, and |(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3))|=...

    Text Solution

    |

  10. If a,b,c are positive and not all equal then |(a,b,c),(b,c,a),(c,a,b)|

    Text Solution

    |

  11. |(a^(2)+x,ab,ac),(ab,b^(2)+x,bc),(ac,bc,c^(2)+x)|

    Text Solution

    |

  12. Show that A=|{:(-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c):}|=4(a+b)(b+c...

    Text Solution

    |

  13. If a+b+c=0 and |(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0 then x=

    Text Solution

    |

  14. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

    Text Solution

    |

  15. Let |{:(x^(2)+x+1,x+1,2x-3),(3x^(2)-1,x+2,x-1),(x^(2)+5x+1,2x+3,x+4):}...

    Text Solution

    |

  16. If |(a,b,a alpha+b),(b,c, b alpha+c),(a alpha+b, b alpha+c,0)|=0 then

    Text Solution

    |

  17. If a,b,c are the p^(th),q^(th),r^(th) terms in H.P. then |{:(bc,p,1),(...

    Text Solution

    |

  18. If |(3x-8,3,3),(3,3x-8,3),(3,3,3x-8)|=0 then x=0

    Text Solution

    |

  19. If a,b,c are different and |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 the...

    Text Solution

    |

  20. If x=-1 is a root of the equation |{:(2-x,3,3),(3,4-x,5),(3,5,4-x):}|=...

    Text Solution

    |