Home
Class 11
MATHS
If alpha and beta are the roots of x^2-x...

If `alpha` and `beta` are the roots of `x^2-x+1=0`,then the value of `alpha^(2013)+beta^(2013)` is equal to

A

2

B

-2

C

-1

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

If alphaand beta are the roots of x^(2)-x+1=0 ,then the value of alpha^(2013)+beta^(2013) is equal to -

If alpha,beta,gamma are the roots of x^3+ax+b =0, then the value of alpha^3+beta^3+gamma^3

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

IF alpha and beta are the roots of the equation x(x-3)=4, find the value of alpha^2+beta^2 .

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of alpha^2+beta^2

If alpha,beta be the roots of x^(2)-a(x-1)+b=0 then the value of (1)/(alpha^(2)-aalpha)+(1)/(beta^(2)-abeta)+(2)/(a+b) is

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta -alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is

If alpha,beta are the roots of the quadratic equation x^(2)+px+q=0 ,then the values of alpha^(3)+beta^(3)andalpha^(4)+alpha^(2)beta^(2)+beta^(4) are respectively .

If alpha and beta (alpha gt beta) are the roots of x^(2) + kx - 1 =0 , then find the value of tan^(-1) alpha - tan^(-1) beta

IF alpha and beta are the roots of the equation x(2x-1)=1, find the value of alpha^2-beta^2 and form the equation whose roots are 2alpha-1 and 2beta-1

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If a, b and c are positive numbers in a G.P., then the roots of the qu...

    Text Solution

    |

  2. If the equation x^2+2x+3=0 and ax^2+bx+c=0 , a, b, c in R, have a comm...

    Text Solution

    |

  3. If alpha and beta are the roots of x^2-x+1=0,then the value of alpha^(...

    Text Solution

    |

  4. If alpha,beta are the roots of the quadratic equation x^2+ax+b=0, (bne...

    Text Solution

    |

  5. Let p(x) be a quadratic polynomial with constant term 1. Suppose p(x) ...

    Text Solution

    |

  6. If alpha,beta are the roots of the quadratic equation ax^2+bx+c=0 and ...

    Text Solution

    |

  7. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

    Text Solution

    |

  8. What is the calorific value of 80 gms of carbohydrate, 15 gms of prote...

    Text Solution

    |

  9. The equation e^(sin x) -e^(-sin x)-4=0 has

    Text Solution

    |

  10. The equations x^2+x+a=0 and x^2+ax+1=0 have a common real root

    Text Solution

    |

  11. If (alpha+sqrtbeta) and (alpha-sqrtbeta) are the roots of the equation...

    Text Solution

    |

  12. If a, b, c are in arithmetic progression, then the roots of the equati...

    Text Solution

    |

  13. The quadratic equation 2x^2-(a^3+8a-1)x+a^2-4a=0 possesses roots of op...

    Text Solution

    |

  14. A value of b for which the equations x^2+bx-1=0, x^2+x+b =0 have one r...

    Text Solution

    |

  15. Let alpha and beta be the roots of the equation x^2-6x-2=0. If an=alph...

    Text Solution

    |

  16. Let alpha,beta be real and z be a complex number. Ifz^2+alphaz+beta=0 ...

    Text Solution

    |

  17. If sintheta and costheta are the roots of the equation ax^2-bx+c=0, th...

    Text Solution

    |

  18. Let a, b, c be three number such that a+2b+4c=0. Then the equation ax^...

    Text Solution

    |

  19. If the ratio of the roots of the equation px^2+qx+r is a:b, then ab/(...

    Text Solution

    |

  20. If alpha and beta are the roots of the equation x^2+x+1=0, then the eq...

    Text Solution

    |