Home
Class 12
MATHS
If is a cubeth root of unity root of : ...

If is a cubeth root of unity root of :
`(1-omega+omega^(2))^(4)+(1+omega-omega^(2))^(4)` is :

A

`0`

B

`32`

C

`-16`

D

`-32`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.9|25 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

If omega pm 1 is a cube root of unity, show that (1 - omega + omega^(2))^(6) + (1 + omega - omega^(2))^(6) = 128

If omega ne 1 is a cube root of unity, show that (i) (1-omega+omega^(2))^(6)+(1+omega-omega^(2))^(6)=128 (ii) (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(8))…2n terms=1

If omega is the cube root of unity then Assertion : (1-omega+omega^(2))^(6)+(1+omega-omega^(2))^(6)=128 Reason : 1+omega+omega^(2)=0

If omega is a cube root of unity, then the value of (1 - omega + omega^2)^4 + (1 + omega - omega^2)^(4) is ……….

If omega pm 1 is a cube root of unity, show that (a + b omega + c omega^(2))/(b + c omega + a omega^(2))+ (a + b omega + c omega^(2))/(c + a omega + b omega^(2)) = -1

If omega is the cube root of unity, then then value of (1 - omega) (1 - omega^(2))(1 - omega^(4))(1 - omega^(8)) is

If omega is a complex cube root of unity, then (a+b omega+c omega^(2))/(c+a omega+b omega^(2))+(c+a omega+b omega^(2))/(a +b omega+c omega^(2))+(b+c omega+a omega^(2))/(b+c omega+a omega^(5))=

If omega ne 1 is a cube root of unity, then show that (a+bomega+comega^(2))/(b+comega+aomega^(2))+(a+bomega+comega^(2))/(c+aomega+bomega^(2))=1

If omega pm 1 is a cube root of unity, show that (1 + omega) (1 + omega^(2))(1 + omega^(4))(1 + omega^(8))…(1 + omega^(2^(11))) = 1

PREMIERS PUBLISHERS-COMPLEX NUMBERS-Problem for practice
  1. If (1-i)/(1+i) is a root of the equation ax^(2)+bx+1=0. Where a, b...

    Text Solution

    |

  2. If is a cubeth root of unity root of : (1-omega+omega^(2))^(4)+(1+om...

    Text Solution

    |

  3. The arguments of the roots of a complex number differ by :

    Text Solution

    |

  4. If z(1)=4+5i and z(2)=-3+2i that (z(1))/(z(2)) is :

    Text Solution

    |

  5. The number of values of (costheta+isintheta)^(p//q) where p and q are ...

    Text Solution

    |

  6. If -i+3 is a root of x^(2)-6x+k=0. Then the value of k is :

    Text Solution

    |

  7. If x^(2)+y^(2)=1, then the value of (1+x+iy)/(1+x-iy).

    Text Solution

    |

  8. The value of ((-1 + isqrt3)/(2))^(100) + ((-1-isqrt3)/(2))^(100) is :

    Text Solution

    |

  9. The principal value of arg(z) lies in the interval :

    Text Solution

    |

  10. If -barz lies in the third quadrant then z lies in the :

    Text Solution

    |

  11. If P is ((1)/(2)+i(sqrt(3))/(2)) and OP is rotated through an angle (p...

    Text Solution

    |

  12. If the amplitude of a complex number is (pi)/(2) then the number is :

    Text Solution

    |

  13. If A+iB=(a(1)+ib(1))(a(2)+ib(2))(a(3)+ib(3)) then A^(2)+B^(2) is :

    Text Solution

    |

  14. The points z(1)z(2)z(3)z(4) in the complex plane are the vertices of a...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the correct statement : The cube roots of unity are :

    Text Solution

    |

  17. Which of the following is incorrect.?

    Text Solution

    |

  18. Which of the following is incorrect ?

    Text Solution

    |

  19. Which of the following is incorrect ?

    Text Solution

    |

  20. Which of the following is correct statement ?

    Text Solution

    |