Home
Class 12
MATHS
If omega=(-1+i sqrt(3))/(2) then (3+omeg...

If `omega=(-1+i sqrt(3))/(2)` then `(3+omega+3 omega^(2))^(4)=`

A

16

B

-16

C

16 `omega`

D

16 `omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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 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 a cube root of unity (1-2 omega+omega^(2))^(6)=

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

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

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

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

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

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If sqrtx+(1)/(sqrt(x))=2costheta then x^(6)+x^(-6)=

    Text Solution

    |

  2. Which of the following is a fourth root of

    Text Solution

    |

  3. If omega=(-1+i sqrt(3))/(2) then (3+omega+3 omega^(2))^(4)=

    Text Solution

    |

  4. If x+(1)/(x)=2cos alpha then x^(n)+(1)/(x^(n))=

    Text Solution

    |

  5. The smallest positive integer for which(1 + i)^(2n)=(1 -l)^(2n) is

    Text Solution

    |

  6. The real part of (1)/(1+cos theta+i sin theta) is

    Text Solution

    |

  7. The modulus and amplitude of (1+2i)/(1-(1-i)^(2)) are respectively

    Text Solution

    |

  8. The complex number ((-sqrt(3)+3i)(1-i))/((3+sqrt(3)i)(i)(sqrt(3)+sqrt(...

    Text Solution

    |

  9. If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=

    Text Solution

    |

  10. The modulus of amplitude of (1+i sqrt(3))^(8) are respectively

    Text Solution

    |

  11. The conjugate of (3-2 i)/(5+7 i) is

    Text Solution

    |

  12. If x^(2)-x+1=0 then the value of sum(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) ...

    Text Solution

    |

  13. The conjugate of the complex number (1 + i)^(2)/(1-i) is

    Text Solution

    |

  14. The real and imaginary part of log (e)(1+sqrt(3) i) are

    Text Solution

    |

  15. The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is

    Text Solution

    |

  16. Let z and w be two non-zero complex numbers such that |z|=|w| and arg....

    Text Solution

    |

  17. The locus of the centre of a circle which touches the circles |z-z(1)|...

    Text Solution

    |

  18. Let z(1) and z(2) be two roots of the equation z^(2)+az+b=0, z being c...

    Text Solution

    |

  19. If z and w are two non-zero complex numbers such that |zw|=1 and arg(z...

    Text Solution

    |

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

    Text Solution

    |