Home
Class 12
MATHS
If omega is a cube root of unity but not...

If `omega` is a cube root of unity but not equal to 1, then minimum value of `abs(a+bomega+comega^(2))`, (where a,b and c are integers but not all equal ), is

A

0

B

`sqrt(3)/2`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|12 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

Let omega be a cube root of unity not equal to 1. Then the maximum possible value of | a + bw + cw^(2) | where a, b, c in {+1, -1} is

What omegane1 be a cube root of unity. Then minimum value of set {|a+bomega+comega^(2)|^(2) , a,b,c are distinct non zero intergers) equals

The minimum value of |a+bomega+comega^(2)| , where a,b,c are all not equal integers and omega (ne 1) is a cube root of unity, is

If omega is a cube root of unity and (omega-1)^(7)=A+B omega then find the values of A and B^(@)

If omega is a cube root of unity,then find the value of the following: (1+omega-omega^(2))(1-omega+omega^(2))

If a,b,c are distinct integers and a cube root of unity then minimum value of x=|a+b omega+c omega^(2)|+|a+b omega^(2)+c omega|

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If omega is a cube root of unity but not equal to 1, then minimum valu...

    Text Solution

    |

  2. If one of the vertices of the square circumscribing the circle |z - 1|...

    Text Solution

    |

  3. If z1 and z2, are two non-zero complex numbers such tha |z1+z2|=|z1...

    Text Solution

    |

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

    Text Solution

    |

  5. If omega = z//[z-(1//3)i] and |omega| = 1, then find the locus of z.

    Text Solution

    |

  6. If w=alpha+ibeta where Beta 0 and z ne 1 satisfies the condition that...

    Text Solution

    |

  7. Find the value of sum(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wher...

    Text Solution

    |

  8. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

    Text Solution

    |

  9. A man walks a distance of 3 units from the origin towards north-east t...

    Text Solution

    |

  10. If |z|=1 and z!=+-1, then all the values of z/(1-z^2) lie on

    Text Solution

    |

  11. If abs(z+4) le 3, the maximum value of abs(z+1) is

    Text Solution

    |

  12. Let A, B, C be three sets of complex number as defined below: A={z:Img...

    Text Solution

    |

  13. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  14. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  15. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  16. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  17. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

    Text Solution

    |

  18. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

    Text Solution

    |

  19. If |Z-4/Z|=2 then maximum value of |Z| is equal to

    Text Solution

    |

  20. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

    Text Solution

    |