Home
Class 12
MATHS
If n is a multiple of 3 then omega^(n) +...

If n is a multiple of 3 then `omega^(n) + omega^(2n) = `

A

0

B

1

C

`-1`

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1|5 Videos

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2|3 Videos

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos

  • COORDINATE SYSTEM (3D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET- 4)|3 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

Similar Questions

Explore conceptually related problems

If n is an integer and not a multiple of 3 then omega^(n) + omega^(2n) =

If n is a multiple of 3, then coefficient of x^(n) in log(1+x+x^(2)) is

If n is a not a multiple of 3, then the coefficient of x^(n) in the expansion of log(1+x+x^(2)) is

If n is a multiple of 3, then ((-1+isqrt3)/(2))^(n)+((-1-isqrt3)/(2))^(n)

Assertion (A): If n is a multiple of 6 and alpha, beta are the roots of x^(2) + x +1=0 then (1+alpha)^(-n)+ (1+beta)^(-n)=2 Reason (R) : The roots of x^(2) + x + 1= 0 are omega, omega^(2) and omega^(n), omega^(2n)= 2 when n=3k, k in z

If 1 , omega , omega^(2) are the cube roots of unity , then find the values of the following . (a+ b)^(3) + ( a omega + b omega ^(2))^(3) + ( a omega^(2) + b omega)^(3)

omega + 2omega^(2) + 3 omega^(3) + ….. 90 omega^(90) =

If 1 , omega , omega^(2) are the cube roots of unity , then (a+ b)^(3) + (a omega + b omega^(2))^(3) + ( a omega^(2) + b omega)^(3) =

If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)) , (2 , 2omega^(2) , 4 omega^(3)) , (3 , 3 omega^(3) , 6 omega^(4)):}| =

If omega is a imaginary cube root of unity , then 225 + (3 omega + 8 omega^(2))^(2) + (3 omega^(2) + 8 omega)^(2) =

DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. The modulus of sqrt2i-sqrt(-2i) is

    Text Solution

    |

  2. (cos""(pi)/(6)+isin""(pi)/(6))^(1//2)+(cos""(pi)/(6)-isin""(pi)/(6))^(...

    Text Solution

    |

  3. If n is a multiple of 3 then omega^(n) + omega^(2n) =

    Text Solution

    |

  4. (1+omega-omega^(2))(1-omega+omega^(2))

    Text Solution

    |

  5. (2+omega^(2)+omega^(4))^(5)

    Text Solution

    |

  6. (3+5omega+3omega^(2))^(6)

    Text Solution

    |

  7. (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(5))(1-omega^(7))(1-omega^...

    Text Solution

    |

  8. (1+omega)(1+omega^(2))(1+omega^4)(1+omega^(5))..........2n factors =

    Text Solution

    |

  9. (1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))(1+omega^(5))......(1+...

    Text Solution

    |

  10. (1-omega+omega^(2))^(7)+(1+omega-omega^(2))^(7)

    Text Solution

    |

  11. (1-omega+omega^(2))^(6)+(1-omega^(2)+omega)^(6)

    Text Solution

    |

  12. If omega is a complex cube root of unity, then 225+(3omega+8omega^(2))...

    Text Solution

    |

  13. If omega is a complex cube root of unity, then (x+1)(x+omega)(x-omega-...

    Text Solution

    |

  14. (a-b)(aomega-bomega^(2))(aomega^(2)-bomega)

    Text Solution

    |

  15. (a+2b)^(2)+(aomega+2bomega^(2))^(2)+(aomega^(2)+2bomega)^(2)

    Text Solution

    |

  16. If 1 , omega , omega^(2) are the cube roots of unity , then (a+ b)^(3...

    Text Solution

    |

  17. If x=a+b,y=aomega+bomega^(2),z=aomega^(2)+bomega then xyz

    Text Solution

    |

  18. If a, b are real and x=a+b,y=aomega^(2)+bomega,z=aomega+bomega^(2)" th...

    Text Solution

    |

  19. (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-om...

    Text Solution

    |

  20. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

    Text Solution

    |