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

`omega` is an imaginary cube root of unity. If `(1+ omega ^(2)) ^(m)=(1+omega ^(4)) ^(m)` then the least positive integral value of m is-

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

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

If omega(ne1) be a cube root of unity and (1+omega^2)^n=(1+omega^4)^n then the least positive value of n is

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

omega is an imagianry cube root of unity, show that, (1-omega^(2))(1-omega^(4))(1-omega^(8))(1-omega^(10))=9

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 an imaginary cube root of unity, show that, (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(5))=9

If omega is the complex cube root of unity, then find (1+omega^2)(1+omega^4)

If omega is the complex cube root of unity, then find (1-omega^2)(1-omega^4)

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

If omega be an imaginary cube root or unity, prove that (1)/(1+2 omega)-(1)/(1+ omega)+(1)/(2+omega)=0

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 8
  1. The sum of first n terms of the series 1^(2)+ 2 . 2^(2) + 3^(2) + 2. 4...

    Text Solution

    |

  2. If ""^(-3) ^(n)C(r+1) then-

    Text Solution

    |

  3. omega is an imaginary cube root of unity. If (1+ omega ^(2)) ^(m)=(1+o...

    Text Solution

    |

  4. Locus of mid-point of the portionof the line x cos alpha + y sin alpha...

    Text Solution

    |

  5. A ray of light is sent along the lie x-2y+5=0, upon reaching the line ...

    Text Solution

    |

  6. The coordinates of O , A and B are (0,0) , (x,y) and (y,x) respectivel...

    Text Solution

    |

  7. If t is a variable parameter, then the equation to the locus defined b...

    Text Solution

    |

  8. A circel cuts intercepts of lenghts 2a and 2b from the x-axis and the ...

    Text Solution

    |

  9. The ordinate of the centre of the circle passing through (0,0) and (1,...

    Text Solution

    |

  10. The sides of a triangle are 3x+4y, 4x +3y and 5x +5y where, x, y gt 0,...

    Text Solution

    |

  11. The triangle formed by joining the points (x,y,z), (y,z,x) and (z,x,y)...

    Text Solution

    |

  12. The sum of the focal distances of any point on the conic 16x^(2) + 25 ...

    Text Solution

    |

  13. Without rotation of axes if the origin is shifted to the point ((ab)/(...

    Text Solution

    |

  14. The distance between the lines 5x+3y =7 and 15 x +9y +14=0 is-

    Text Solution

    |

  15. The ratio in which he line-segment joining the points (p,q,r) and (-p,...

    Text Solution

    |

  16. The centre of a circel is at (2, -3) and its circumference is 10pi, th...

    Text Solution

    |

  17. If two circles (x-1) ^(2) + (y-3) ^(2) =r^(2)and x ^(2) +y^(2) -8x +2y...

    Text Solution

    |

  18. The lines ax+by+c=0, bx+cy+a =0, cx+ay+b =0 are concurrent when-

    Text Solution

    |

  19. If (at^(2) , 2at) be the coordinate of an extremity of a focal chord o...

    Text Solution

    |

  20. Let L be the end of a latus rectum of the ellipse 2x^(2) +4y^(2) =1 an...

    Text Solution

    |