Home
Class 12
MATHS
If the cube root of unity are 1,omega,om...

If the cube root of unity are `1,omega,omega^(2)`, then the roots of the equation `(x-1)^(3)+8=0` are :

A

-1,-1,-1

B

` -1,-omega,-omega^(2)`

C

`-1,2+3 omega, 2+omega^(2)`

D

`-1,2-3 omega, 2-omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Cube roots of unity are in

Roots of the equation x^(2) -2x+ 1 =0 are :

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2

The roots of the equation 12 x^2 + x - 1 = 0 is :

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

Roots of equation x^(2)-2x+1=0 are:

The number of roots of the equation 1+3^(x/2)=2^x is

Verify whether 1 and (3)/(2) are the roots of the equation 2x^(2)-5x+3=0

If w is a complex cube-root of unity then,

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. Let z=x+ iy then z . bar(z)=0 if and only if

    Text Solution

    |

  2. (3+2 i sin theta)/(1-2 i sin theta) will be purely imaginary, if theta...

    Text Solution

    |

  3. If the cube root of unity are 1,omega,omega^(2), then the roots of the...

    Text Solution

    |

  4. If z is a complex number such that z=-bar(z) then

    Text Solution

    |

  5. The complex number (1+2i)/(1-i) lies in

    Text Solution

    |

  6. If P is the point in the Argand diagrma correspoinding to the complex ...

    Text Solution

    |

  7. The smallest positive integral value of ' n ' such that [(1+sin (pi)...

    Text Solution

    |

  8. The least positive integer n, for which ((1+i)^(n))/((1-i)^(n-2))is po...

    Text Solution

    |

  9. If x+i y=(-1+i sqrt(3))^(2010), then x=

    Text Solution

    |

  10. The value of |(1+i sqrt(3))/((1+(1)/(i+1))^(2))|=

    Text Solution

    |

  11. If omega is an imaginary cube root of unity ,then the value of (1-omeg...

    Text Solution

    |

  12. If P(x, y) denotes z=x+i y in Argand's plane and |(z-1)/(z+2 i)|=1, t...

    Text Solution

    |

  13. The argument of the complex number sin((6pi)/(5))+i(1+cos.(6pi)/(5)) i...

    Text Solution

    |

  14. The maximum value of n lt 101 such that 1+sum(k=1)^(n)i^(k)=0 is

    Text Solution

    |

  15. The value of (-1+sqrt(3))^(62)+(-1-sqrt(-3))^(62) is

    Text Solution

    |

  16. All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 li...

    Text Solution

    |

  17. If z is a complex number with |z|=1 and z+(1)/(z)=x+iy, then xy=

    Text Solution

    |

  18. The real part of log log i is

    Text Solution

    |

  19. ((-1+i sqrt(3))/(2))^(50)+((-1-i sqrt(3))/(2))^(50)=

    Text Solution

    |

  20. Among the complex numbers, z satisfying |z+1-i| le 1, the number havin...

    Text Solution

    |