Home
Class 12
MATHS
If omega is the complex cube root of uni...

If `omega` is the complex cube root of unity, then find `omega^2+omega^3+omega^4`.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise MATRIX MATCH TYPE|9 Videos
  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise NUMERICAL VALUE TYPES|33 Videos
  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWERS TYPE|49 Videos
  • CIRCLES

    CENGAGE PUBLICATION|Exercise Comprehension Type|8 Videos
  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos

Similar Questions

Explore conceptually related problems

If omega is the complex cube root of unity, then find omega^-97

If omega is the complex cube root of unity, then find omega^-73

If omega is the complex cube root of unity, then find 1/omega^77

If omega is the complex cube root of unity, then find omega^-303

If omega is the complex cube root of unity, then find 1/omega^405

If omega is the complex cube root of unity, then find omega^22+1/omega^22

If omega is the complex cube root of unity, then find omega+1/omega

If omega is the complex cube root of unity, then find (2+omega+omega^2)^3

If omega is the complex cube root of unity, then find (1+omega-omega^2)^3

If omega is the complex cube root of unity, then find omega+1/omega +1/omega^2

CENGAGE PUBLICATION-COMPLEX NUMBERS-LINKED COMPREHENSION TYPE
  1. Express the following complex number in polar form(r e^itheta): 2

    Text Solution

    |

  2. Express the following complex number in polar form(r e^itheta): 10

    Text Solution

    |

  3. Express the following complex number in polar form(r e^itheta): -sqrt3...

    Text Solution

    |

  4. Express the following complex number in polar form(r e^itheta): -sqrt6...

    Text Solution

    |

  5. Express the following complex number in polar form(r e^itheta): 1-i+i^...

    Text Solution

    |

  6. Express the following complex number in polar form(r e^itheta): -3i

    Text Solution

    |

  7. Consider the equation az + b bar(z) + c =0, where a,b,c inZ If |a| ...

    Text Solution

    |

  8. Consider the equation az + b barz + c =0, where a,b,c inZ If |a| = |...

    Text Solution

    |

  9. Consider the equation az + b bar(z) + c =0, where a,b,c inZ If |a| ...

    Text Solution

    |

  10. Express the following complex number in polar form(r e^itheta): 2+2sqr...

    Text Solution

    |

  11. Express the following complex number in polar form(r e^itheta): (2-3i)...

    Text Solution

    |

  12. Express the following complex number in polar form(r e^itheta): i^3

    Text Solution

    |

  13. Express the following complex number in polar form(r e^itheta): i^2

    Text Solution

    |

  14. Express the following complex number in polar form(r e^itheta): (2+i)^...

    Text Solution

    |

  15. Express the following complex number in polar form(r e^itheta): -6-4i

    Text Solution

    |

  16. Express the following complex number in polar form(r e^itheta): -6+8i

    Text Solution

    |

  17. Express the following complex number in polar form(r e^itheta):3+4i

    Text Solution

    |

  18. Express the following complex number in polar form(r e^itheta):-5-5i

    Text Solution

    |

  19. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  20. If omega is the complex cube root of unity, then find omega^2+omega^3+...

    Text Solution

    |