Home
Class 12
MATHS
If omega is a complex cube root of un...

If `omega` is a complex cube root of unity , then for any `n gt 1 underset(r = 1)overset(n - 1) sumr(r + 1 - omega)(r + 1 - omega^(2) ]=`

A

`(n^(2)(n+1)^(2))/(4)`

B

`(n(n+1)(2n+1))/(6)`

C

`(n(n-1))/(4)(n^(2) +3n+4)`

D

`(n (n+1)(2n+1))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • AP EAMCET SOLVED PAPER 2018 ( 23-04-2019,SHIFT -1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|39 Videos

Similar Questions

Explore conceptually related problems

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

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

If 1, omega, omega ^(2) are the cube roots of unity , then w^2=

If omega is a complex cube root of unity , then sum_(k = 1)^(6) ( omega^(k) + (1)/(omega^(k)))^(2) =

If omega is a complex cube root of unity, then sin[(omega^(10)+omega^(23))pi-(pi)/(4)]

If 1 , omega , omega^(2) are the cube roots of unity , then find the values of the following . (1 - omega) ( 1 - omega ^(2)) ( 1 - omega^(4)) ( 1 - omega^(8))

If omega is a complex cube root of unity and A=[(omega,0),(0, omega)] then A^(100)=

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

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER 2017 (SOLVED)-Mathematics
  1. If I(n)= int(sin nx)/(cos x)dx, then I(n)=

    Text Solution

    |

  2. If tan alpha and tan beta are the roots of the equation x^(2) +px + ...

    Text Solution

    |

  3. If omega is a complex cube root of unity , then for any n gt 1 unde...

    Text Solution

    |

  4. Let N be the set of all natural number , Z be the set of all integers ...

    Text Solution

    |

  5. .^(37)C(4)+underset(r = 1)overset(5)sum(42- r)(C(3))=

    Text Solution

    |

  6. The variance of the following date is {:(x(1),6,10,14,18,24,28,30)...

    Text Solution

    |

  7. The differential equation corresponding to the family of circles in th...

    Text Solution

    |

  8. p,x(1), x(2) ,. . . x(n) and q, y(1),y(2), . . . ,y(n) are two arit...

    Text Solution

    |

  9. If alpha ne 0 and mean deviation of the observations {kalpha}, for k...

    Text Solution

    |

  10. If 2kx + 3y - 1 = 0 , 2x + y + 5 = 0 are conjugate lines with respec...

    Text Solution

    |

  11. if (5x^(2) +2)/(x^(3)+x)=(A(1))/(x)+(A(2)x+A(3))/(x^(2)+1), then (A(...

    Text Solution

    |

  12. The sum of first n terms of (1)/(2*5)+(1)/(5*8)+(1)/(8*11)+. . . is

    Text Solution

    |

  13. Find the equation of the parabola whose axis is parallel to X-axis and...

    Text Solution

    |

  14. In Delta ABC, b cos (C+ theta)+c cos (B- theta)=

    Text Solution

    |

  15. The number of solution of the trigonometric equation 1 + cos x . cos ...

    Text Solution

    |

  16. If alpha , beta, gamma are the roots of x^(3) + px^(2) +qx+ r = 0, ...

    Text Solution

    |

  17. If a system of three linear equations is three unknowns, which is in t...

    Text Solution

    |

  18. The angle between the two circles , each passing through the centre of...

    Text Solution

    |

  19. If log((1)/(sqrt(3))){(|z|^(2)-|z|+1)/(2+|z|)}gt -2 , then z lies insi...

    Text Solution

    |

  20. A circle having centre at the origin passes through the three vertices...

    Text Solution

    |