Home
Class 11
MATHS
If omega is an imaginary cube root of un...

If `omega` is an imaginary cube root of unity then the value of `omega^n+omega^(2n)` (where n is not a multiple of 3) is

A

0

B

`-omega`

C

`omega^2`

D

(-1)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

If omega be the imaginary cube root of unity then the value of omega^(241) will be

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

If omega be the imaginary cube root of 1 ,then the value of (3+omega+3omega^2)^4 will be ___

If omega be the imaginary cube root of 1, then the value of (3+omega+3omega^(2))^(4) will be

If omega is a non-ral cube root of unity then the value of (a+b) (a+b omega) (a+b omega ^(2)) is-

If omega is an imaginary cube root of unity and omega=(-1+sqrt3i)/(2) then omega^(2) =

If omega is an imaginary cube root of unity then which of the following is the value of omega^(242)

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

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

If omega be an imaginary cube root of unity, show that (1+omega-omega^(2))(1-omega+omega^(2))=4

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. In the argand plane ABCD is a square described in the anticlockwise se...

    Text Solution

    |

  2. (-64)^(1/4) equals

    Text Solution

    |

  3. If omega is an imaginary cube root of unity then the value of omega^n+...

    Text Solution

    |

  4. Solve: z^7-1=0

    Text Solution

    |

  5. Located the complex numbers z=x+iy for which: log(1/2)((abs(z-1)+4)/(3...

    Text Solution

    |

  6. Ifz1,z2,z3 represent three vertices of an equilateral triangle in arga...

    Text Solution

    |

  7. Express the following expreeion in the form of a+ib : ((3+isqrt5)(3-is...

    Text Solution

    |

  8. If z1=2-i, z2=1+i, find abs((z1+z2+1)/(z1-z2+i))

    Text Solution

    |

  9. Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-2...

    Text Solution

    |

  10. If alpha and beta are different complex numbers with absbeta=1. then f...

    Text Solution

    |

  11. If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that (a^2+b^2)(c^2+d^2)(e^...

    Text Solution

    |

  12. If iz^3+z^2-z+i=0 then the value of abs(z) is

    Text Solution

    |

  13. If z1nez2 and abs(z2)=1 the abs((z1-z2)/(1-barz1z2))=

    Text Solution

    |

  14. If abs(z+barz)=abs(z-barz), then the locus of z is

    Text Solution

    |

  15. If log(tan30^@)((2absz^2+2absz-3)/(absz+1))lt(-2), then

    Text Solution

    |

  16. The number of solutions of the equation z^2+absz^2=0, where zinc is

    Text Solution

    |

  17. Let z, omega be complex numbers such that barz+ibaromega=0 and arg(z o...

    Text Solution

    |

  18. The number of roots of the equation z^15=1 satisfying abs(argz)ltpi/2 ...

    Text Solution

    |

  19. If A(z1), B(z2), C(z3) are the vertices of an equilateral triangle ABC...

    Text Solution

    |

  20. If 1, omega,omega^2 are the three cube roots of unity, then (1-omega+o...

    Text Solution

    |