Home
Class 12
MATHS
If alpha is a non real root of the equat...

If `alpha` is a non real root of the equation `x^(6)-1=0` then `(alpha^(2)+alpha^(3)+alpha^(4)+alpha^(5))/(alpha+1)`

A

`alpha`

B

1

C

0

D

-1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    SIA PUBLICATION|Exercise PROBLEMS|50 Videos
  • DEFINITE INTEGRALS

    SIA PUBLICATION|Exercise PROBLEMS|42 Videos

Similar Questions

Explore conceptually related problems

If alpha is a non-real root of x^(6)-1=0 then (alpha^(5)+alpha^(3)+alpha+1)/(alpha^(2)+1)

IF alpha is a root of the equation 4x ^2 +2x-1=0 then 4 alpha ^3 - 3 alpha is

If alpha is a positive root of the equation x^4 +x^3 -4x^2 +x+1=0 then alpha +1/alpha

If alpha is a non-real root of x^(7) = 1 then alpha(1 + alpha) (1 + alpha^(2) + alpha^(4)) =

If alpha is a non-real root of x^(7) = 1 then alpha (1 + alpha)(1 + alpha^(2) + alpha^(4))=

If alpha is a non real root of x^6=1 then (alpha^5+alpha^3+alpha+1)/(alpha^2+1)=

If alpha, beta are the roots of the equation x^(2) + x + 1 = 0 then prove that alpha^(4) + beta^(4) + alpha^(-1) beta^(-1) = 0 .

SIA PUBLICATION-COMPLEX NUMBERS AND DE MOIVRE'S THEOREM-Problems
  1. ((1+i)x-i)/(2+i)+((1+2i)y+i)/(2-i)=1rArr(x,y)=

    Text Solution

    |

  2. If a,b,c,d inRR are such that a^2+b^2=4 and c^2+d^2=2 and if (a+ib)^2...

    Text Solution

    |

  3. If alpha is a non real root of the equation x^(6)-1=0 then (alpha^(2)+...

    Text Solution

    |

  4. Let z=a-i/2,a inRR " Then "|i+z|^2-|i-z|^2=

    Text Solution

    |

  5. The locus of the complex number z such that arg ((z-2)/(z+2))=pi/3 is ...

    Text Solution

    |

  6. ((1+i)^2011)/(1-i)^2009=

    Text Solution

    |

  7. z=1+isqrt(3)rArr|Arg z|+|Argbarz|=

    Text Solution

    |

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

    Text Solution

    |

  9. The locus of z satisfying the |(x+2i)/(2z+i)| lt 1, inequality where z...

    Text Solution

    |

  10. The points in the set {zinC: Arg " ((z-2)/(Z-6i))=pi/2} lie on the cu...

    Text Solution

    |

  11. If omega is a complex cube root of unity, then sin[(omega^(10)+omega^(...

    Text Solution

    |

  12. If m(1), m(2), m(3) and m(4) respectively denote the moduli of the co...

    Text Solution

    |

  13. The locus of the point z=x+iy satisfying |(z-2i)/(z+2i)|=1 is

    Text Solution

    |

  14. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

    Text Solution

    |

  15. If alpha1,alpha2,alpha3 respectively denote the moduli of the complex ...

    Text Solution

    |

  16. sum(n=0)^oo((2i)/3)^n=

    Text Solution

    |

  17. If X(n)="cos"(pi)/(2^(n))+"isin"(pi)/(2^(n)), then x(1), x(2), x(3)......

    Text Solution

    |

  18. If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x ...

    Text Solution

    |

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

    Text Solution

    |

  20. If z=x +iy is a complex number satisfying |z+i//2|^2=|z-i//2|^2 then ...

    Text Solution

    |