Home
Class 12
MATHS
if alpha,beta,gamma are the roots of the...

if `alpha,beta,gamma` are the roots of the equation `x^3-x-1=0` then `(1+alpha)/(1-alpha)+(1+beta)/(1-beta)+(1+gamma)/(1-gamma)` is

A

0

B

`-1`

C

`-7`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    BITSAT GUIDE|Exercise BITSET ARCHIVES |16 Videos
  • PROBABILITY

    BITSAT GUIDE|Exercise BITSET ARCHIVES|16 Videos
  • QUESTION-PAPERS-2012

    BITSAT GUIDE|Exercise Mathematics (Single correct answer type:)|45 Videos

Similar Questions

Explore conceptually related problems

if alpha,beta,gamma are the roots of equation x^(3)-x-1=0, then (1+alpha)/(1-alpha)+(1+beta)/(1-beta)+(1+gamma)/(1-gamma)

If alpha,beta,gamma are the roots of the equation 2x^(3)-5x^(2)+3x-1=0, then (1)/(alpha beta)+(1)/(beta gamma)+(1)/(gamma alpha) is

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

If alpha,beta,gamma the roots of the equation x^(3)-7x+7=0 then (1)/(alpha^(4))+(1)/(beta^(4))+(1)/(gamma^(4))=

If alpha, beta, gamma are roots of equation x^(3)-x-1=0 then the value of sum(1+alpha)/(1-alpha) is :

If alpha,beta,gamma are the roots of the equation 2x^(3)x^(2)+x-1=0 then alpha^(2)+beta^(2)+gamma^(2)=

If alpha,beta,gamma are the roots of the equation x^(3)+4x+1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=

.If alpha,beta,gamma are roots of x^(3)-x^(2)-1=0 then the value of ((1+alpha))/((1-alpha))+((1+beta))/((1-beta))+((1+gamma))/((1-gamma)) is equal to

BITSAT GUIDE-QUADRATIC EQUATION -BITSET ARCHIVES
  1. if alpha,beta,gamma are the roots of the equation x^3-x-1=0 then (1+al...

    Text Solution

    |

  2. If alpha and beta are the roots of the equation x^2-px + q = 0 then t...

    Text Solution

    |

  3. 3 The set of all real x satisfying the inequality (3-|x|)/(4-|x|) >= ...

    Text Solution

    |

  4. If N is any four digit number say x (1), x (2), x (2), x (4) then the ...

    Text Solution

    |

  5. If 4 - 5i is a root of the quadratic equation x^(2) + ax + b = 0 the...

    Text Solution

    |

  6. If alpha and beta are the roots of the quadratic equation 4x^(2) + 3x ...

    Text Solution

    |

  7. If alpha, beta are the roots of ax ^(2) + bx + c =0 and alpha + k, bet...

    Text Solution

    |

  8. If alpha and beta are the roots of the equation x ^(2) - 2x + 4 =0, t...

    Text Solution

    |

  9. If the roots of the equation ax ^(2) + bx + c =0 are real and distinct...

    Text Solution

    |

  10. The number of jsolutions of the equation z^(2)+barz=0, is

    Text Solution

    |

  11. If the sum of the roots of the equation z ^(2) bar z=0 is

    Text Solution

    |

  12. If alpha+beta=-2 and alpha^3+beta^3=-56 then the quadratic equation wh...

    Text Solution

    |

  13. The cubic equation whose roots are thrice to each of the roots of x^3+...

    Text Solution

    |

  14. The number of solutionsof the equation 1 +sin x sin^2 ""(x)/2 = 0 i...

    Text Solution

    |

  15. If one root of the quadratic equation ax ^(2) + bx + c = 0 is equal to...

    Text Solution

    |

  16. If alpha, beta, gamma are the roots of the equation 2x^3-3x^2 + 6x + 1...

    Text Solution

    |

  17. If sin alpha, sin beta and cos alpha are in GP, then roots of x^2 + 2x...

    Text Solution

    |