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

If `omega` is an imaginary cube root of unity then the value of `[[1+omega , omega^2 , -omega],[1+omega^2 , omega , -omega^2 ],[omega^2+omega , omega , -omega^2 ]] =`

A

0

B

`2omega`

C

`2omega^2`

D

`-3omega^2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If omega is an imaginary cube root of unity, then the value of |[a,b omega^2,a omega],[b omega,c,b omega^2],[c omega^2, a omega,c]|

If omega is an imaginary cube root of unity ,then the value of [{:(1,omega^(2),1-omega^(4)),(omega,1,1+omega^(5)),(1,omega,omega^(2)):}] is

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

If omega is a complex cube root of unity , then the value of omega^(99) + omega^(100) + omega^(101) is

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

If omega is an imaginary cube root of unity, then (1+omega+omega^(2))^(7) equals :

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

If omega is an imaginary cube root of unity ,then the value of (1-omega+omega^(2)).(1-omega^2+omega^(4)).(1-omega^(4)+omega^(8)) ………….(2n factors) is

If omega is a complex cube root of unit, then the value of the determinant |[1,omega,omega+1],[omega+1,1,omega],[omega,omega+1,1]|=

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

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. Delta= [[ 1 / a , 1 , b c ],[1 / b , 1 , c a ],[1 / c , 1 , a b]] =

    Text Solution

    |

  2. If [[ x , 2 , x],[x^2 , x , 6],[x , x , 6 ]] =a x^4+b x^3+c x^2+d x+e,...

    Text Solution

    |

  3. If omega is an imaginary cube root of unity then the value of [[1+ome...

    Text Solution

    |

  4. If alpha, beta, gamma are the roots of x^3+a x^2+b=0 then the value of...

    Text Solution

    |

  5. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

    Text Solution

    |

  6. The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

    Text Solution

    |

  7. If [[ 2 x , 5],[ 8 , x ]] = [[6 , -2 ],[7 , 3 ]], then, x=

    Text Solution

    |

  8. The number of distinct real roots of [[sin x , cos x , cos x ],[cos x ...

    Text Solution

    |

  9. There are two values of a which makes determinant , A=|(1,-2,5),(2,a,-...

    Text Solution

    |

  10. The value of determinant |(x,x+y,x+2y),(x+2y,x,x+y),(x+y,x+2y,x)| is

    Text Solution

    |

  11. If x, y, z are all different and not equal to zero and |{:(1+x,,1,,...

    Text Solution

    |

  12. If A = [ (2,lambda,-3),(0,2,5),(0,1,3)] , then A^(-1) exists if :

    Text Solution

    |

  13. A root of the equation |(0, x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is

    Text Solution

    |

  14. The maximum value of Delta=|(1,1,1),(1,1+sintheta,1),(1+costheta,1,1)|...

    Text Solution

    |

  15. Let f(t)=|(cost,t,1),(2sint,t,2r),(sint,t,t)| , then {:(lim),(t rarr0)...

    Text Solution

    |

  16. If A,B and C are angles of a triangle, then the determinant : |(-1,c...

    Text Solution

    |

  17. If A is a square matrix of order 3 xx 3, then |KA| is equal to

    Text Solution

    |

  18. Which of the following is correct

    Text Solution

    |

  19. If the area of the triangle with vertices (2,-6),(5,4) and (K,4) is 35...

    Text Solution

    |

  20. If Delta= [[ a11 , a12 , a13],[a21 , a22 , a23],[a31 , a32 , a33 ]] an...

    Text Solution

    |