Home
Class 12
MATHS
If 1, omega and omega^(2) are the cube r...

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

A

`a^(3)+b^(3)+c^(3)`

B

`a^(3)+b^(3)+c^(3)-3abc`

C

`(a+b+c)^(3)-3abc`

D

`a^(3)+b^(3)+c^(3)+3abc`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • TS EAMCET 2019 (3 MAY SHIFT 2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2019 (3 MAY SHIFT 1)-Mathematics
  1. If x+iy =(1+i)^(6)-(1-i)^(6), then which one of the following is true ...

    Text Solution

    |

  2. i^(2)+i^(3)+...+i^(4000)=

    Text Solution

    |

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

    Text Solution

    |

  4. The set of all values of 'a' for which the expression (ax^(2)+2x-3)/(2...

    Text Solution

    |

  5. If both the roots of the equation x^(2)-4ax+1-3a+4a^(2)=0 exceed 1, th...

    Text Solution

    |

  6. If the cubic equation x^(3)-ax^(2)+ax-1=0 is identical with the cubic ...

    Text Solution

    |

  7. If alpha, beta, gamma are roots of the equation x^(3) + px^(2) + qx +...

    Text Solution

    |

  8. Let x denote the number of ways of arranging m boys and m girls in a r...

    Text Solution

    |

  9. The number of even numbers greater than 1000000 that can be formed usi...

    Text Solution

    |

  10. The greatest integer less than or equal to (sqrt(3)+2)^(5) is

    Text Solution

    |

  11. The sixth term in the expansion of (3-sqrt(17/4+3 sqrt(2)))^(10) is a

    Text Solution

    |

  12. Let 1/((x^(2)-3)^(2))=A(1)/(x-sqrt(3))+A(2)/((x-sqrt(3))^(2))+A(3)/(x+...

    Text Solution

    |

  13. The period of cos (x+8x +27 x+...+n^(3) x) is

    Text Solution

    |

  14. sin^(2) (3^(@))+sin^(2) (6^(@))+sin^(2) (9^(@))+...+sin^(2) (84^(@))+s...

    Text Solution

    |

  15. "cos"pi/7+"cos"(2pi)/7+"cos"(3pi)/7+"cos"(4pi)/7+"cos"(5pi)/7+"cos"(6p...

    Text Solution

    |

  16. The number of integral values of k for which the equation 7 cos x +5 s...

    Text Solution

    |

  17. sec ("tan"^(-1) y/2)=

    Text Solution

    |

  18. The number of roots of the equation sqrt(2)+e^(cos h^(-1) x)-e^(sin h^...

    Text Solution

    |

  19. A wire of length 44 cm is bent into an arc of a circle of radius 12 cm...

    Text Solution

    |

  20. In any triangle ABC, if a : b : c=2 : 3 : 4, then R : r=

    Text Solution

    |