Home
Class 12
MATHS
If omega is an imaginary cube root of un...

If `omega` is an imaginary cube root of unity, then `(1-omega-omega^(2))^(7)` equals

A

128 `omega`

B

`-128 omega`

C

128 `omega^(2)`

D

`-128 omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 2|1 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 3|1 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE|20 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

If omega is an imaginary cube root of unity,then (1+omega-omega^(2))^(7) is equal to 128 omega(b)-128 omega128 omega^(2)(d)-128 omega^(2)

If omega is the imaginary cube root of unity, then what is (2-omega+2omega^(2))^(27) equal to ?

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

If omega be imaginary cube root of unity then (1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5) is equal to (a) 0 (b) 32 (c) 49 (d) none of these

If w be imaginary cube root of unity then (1+w-w^(2))^(7) equals:

If omega is a complex cube root of unity, then (1-omega+omega^(2))^(6)+(1-omega^(2)+omega)^(6)=

If omega be an imaginary cube root of unity, show that (a+bomega+comega^2)/(aomega+bomega^2+c) = omega^2

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -EXERCISE LEVEL 1
  1. If omega (ne 1) is a cube root of unity and (1 + omega)^(2017) = A + B...

    Text Solution

    |

  2. If omega is the complex cube root of unity then |[1,1+i+omega^2,omeg...

    Text Solution

    |

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

    Text Solution

    |

  4. If |{:(6i,-3i,1),(4,3i,1),(20,3,i):}|=x+iy,i=sqrt(-1) then

    Text Solution

    |

  5. If arg(z) lt 0, then find arg(-z) -arg(z).

    Text Solution

    |

  6. If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...

    Text Solution

    |

  7. Let z1 and z2 be nth roots of unity which subtend a right angle at the...

    Text Solution

    |

  8. The complex number z1,z2 and z3 satisfying (z1 - z3)/(z2 - z3) = ( 1 -...

    Text Solution

    |

  9. Let omega = - (1)/(2) + i (sqrt3)/(2), then the value of the determina...

    Text Solution

    |

  10. The inequality |z-i| lt |z + i| represents the region

    Text Solution

    |

  11. Show that if iz^3+z^2-z+i=0, then |z|=1

    Text Solution

    |

  12. If x + iy = (1)/(1-cos theta + 2 i sin theta), theta ne 2n pi, n in I,...

    Text Solution

    |

  13. The equation z^3=bar z has

    Text Solution

    |

  14. If z = 5 + t + isqrt(25 - t^(2)), (-5 le t le 5), then locus of z is a...

    Text Solution

    |

  15. If omega is complex cube root of that 1/(a+omega)+1/(b+omega)+1/(c+ome...

    Text Solution

    |

  16. if |z-iRe(z)|=|z-Im(z)| where i=sqrt(-1) then z lies on

    Text Solution

    |

  17. If omega is a complex cube root of unity, then value of expression cos...

    Text Solution

    |

  18. If roots of the equation z^2+ az + b = 0 are purely imaginary then

    Text Solution

    |

  19. The system of equations |z+1-i|=sqrt2 and |z| = 3 has

    Text Solution

    |

  20. If 8iotaz^3+12z^2-18z+27iota=0 then: a. |z|=3/2 b. |z|=2/3 c. |z|=...

    Text Solution

    |