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

Suppose `alpha, beta, gamma` are the roots of `x^(3)+x^(2)+x+2=0`. Then the value of `((alpha+beta-2gamma)/(gamma))((beta+gamma-2alpha)/(alpha))((gamma+alpha-2beta)/(beta))` is

A

`-(47)/(2)`

B

`(47)/(2)`

C

`-47`

D

47

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|76 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET -1|5 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

Similar Questions

Explore conceptually related problems

Suppose alpha,beta.gamma are the root of x^(3)+x^(2)+x+2=0 . Then, the value of ((alpha+beta-2gamma)/(gamma))((beta+gamma-2alpha)/(alpha))((gamma+alpha-2beta)/(beta)) is

If alpha,beta,gamma are the roots of 4x^3-6x^2+7x+3=0 then find the value of alpha beta +beta gamma+gamma alpha .

If alpha, beta, gamma are roots of x^(3) - px^(2) + qx - r = 0 then sum alpha^(2) (beta + gamma) =

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

If alpha , beta , gamma are the roots of x^3 +2x^2 +3x +8=0 then (3-alpha )(3 - beta) (3-gamma) =

If alpha, beta, gamma are the roots of x^(3) - 3x + 7 = 0 then alpha beta gamma =

If alpha,beta, gamma are the roots of 4x^(3) - 6x^(2) + 7x + 3 = 0 then alpha beta + alpha beta + alpha gamma =

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. If alpha, beta,gamma are roots of x^(3) - px^(2) + qx - r = 0 then su...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If alpha, beta, gamma are roots of x^(3) - 2x^(2) + 3x - 4 = 0, then ...

    Text Solution

    |

  6. If alpha, beta, gamma are roots of the equation 3x^(3) + 6x^(2) - 9x...

    Text Solution

    |

  7. If alpha, beta, gamma are roots of x^(3) - 2x^(2) + 3x - 4 = 0, then ...

    Text Solution

    |

  8. If alpha, beta, gamma are roots of the equation x^(3) - 6x^(2) + 11x...

    Text Solution

    |

  9. Suppose alpha, beta, gamma are the roots of x^(3)+x^(2)+x+2=0. Then th...

    Text Solution

    |

  10. If alpha, beta, gamma are roots of x^(3) + ax^(2) + bx + c = 0 then su...

    Text Solution

    |

  11. If alpha, beta, gamma are roots of x^(3) - ax^(2) + bx + c = 0 then (...

    Text Solution

    |

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

    Text Solution

    |

  13. If alpha, beta, gamma,delta are roots of x^(4) - 4x^(2) - x + 2 = 0 t...

    Text Solution

    |

  14. If alpha1 , alpha2 ,……….,alphan are the roots of x^n + px + q = 0 , ...

    Text Solution

    |

  15. If alpha1 , alpha2 ,……….,alphan are the roots of x^n + px + q = 0 , ...

    Text Solution

    |

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

    Text Solution

    |

  17. If alpha, beta, gamma are roots of equation x^(3) - 10x^(2) + 7x + 8 ...

    Text Solution

    |

  18. Let alpha,beta,gamma be the roots of x^(3)+x+10=0 and alpha(1)=(alpha+...

    Text Solution

    |

  19. The real number k for which the equation, 2x^(3) + 3x + k = 0 has two ...

    Text Solution

    |

  20. The number of real roots of the equation x^(5) + 3x^(3) + 4x + 30 = 0 ...

    Text Solution

    |