Home
Class 12
MATHS
The value of (1+omega^(2)+2 omega)^(3 n)...

The value of `(1+omega^(2)+2 omega)^(3 n)-(1+omega+2 omega^(2))^(3 n)=`

A

zero

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 the cube roots of unity the value of (1 - omega + omega^2)^5 + ( 1 + omega - omega^2)^5 is equal to

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

If omega is a complex cube root of unity then the value of (p++q omega+r omega^(2))/(r+p omega+q omega^(2))+(p+q omega+r omega^(2))/(q+r omega+p omega^(2))= (where p, q, r are real)

If omega=-(1)/(2)+i (sqrt(3))/(2) , the value of [[1, omega, omega^(2) ],[ omega, omega^(2), 1],[ omega^(2),1, omega]] is

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 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

Let omega=-(1)/(2)+i (sqrt(3))/(2) , then the value of |[1,1,1],[1,-1-omega^(2),omega^(2)],[1,omega^(2),omega^(4)]| is

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 ]] =

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

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

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If (cos theta+i sin theta) .(cos 2 theta+i sin 2 theta) ldots ldots(c...

    Text Solution

    |

  2. If ((1+i sqrt(3))/(1-i sqrt(3)))^(n) is an integer, then n=

    Text Solution

    |

  3. The value of (1+omega^(2)+2 omega)^(3 n)-(1+omega+2 omega^(2))^(3 n)=

    Text Solution

    |

  4. The real value of thetafor which the expression is (1+icos theta)/(1...

    Text Solution

    |

  5. Let z=x+ iy then z . bar(z)=0 if and only if

    Text Solution

    |

  6. (3+2 i sin theta)/(1-2 i sin theta) will be purely imaginary, if theta...

    Text Solution

    |

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

    Text Solution

    |

  8. If z is a complex number such that z=-bar(z) then

    Text Solution

    |

  9. The complex number (1+2i)/(1-i) lies in

    Text Solution

    |

  10. If P is the point in the Argand diagrma correspoinding to the complex ...

    Text Solution

    |

  11. The smallest positive integral value of ' n ' such that [(1+sin (pi)...

    Text Solution

    |

  12. The least positive integer n, for which ((1+i)^(n))/((1-i)^(n-2))is po...

    Text Solution

    |

  13. If x+i y=(-1+i sqrt(3))^(2010), then x=

    Text Solution

    |

  14. The value of |(1+i sqrt(3))/((1+(1)/(i+1))^(2))|=

    Text Solution

    |

  15. If omega is an imaginary cube root of unity ,then the value of (1-omeg...

    Text Solution

    |

  16. If P(x, y) denotes z=x+i y in Argand's plane and |(z-1)/(z+2 i)|=1, t...

    Text Solution

    |

  17. The argument of the complex number sin((6pi)/(5))+i(1+cos.(6pi)/(5)) i...

    Text Solution

    |

  18. The maximum value of n lt 101 such that 1+sum(k=1)^(n)i^(k)=0 is

    Text Solution

    |

  19. The value of (-1+sqrt(3))^(62)+(-1-sqrt(-3))^(62) is

    Text Solution

    |

  20. All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 li...

    Text Solution

    |