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

If `alpha, beta, gamma` are the roots of `x^(3) + x^(2) + x + 1 =0 ` then ` alpha^(4) + beta^(4) + gamma^(4)` =

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
3
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

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

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) + x^(2) + x + 1 = 0 then alpha^(3) + beta^(3) + gamma^(3) =

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

If alpha, beta, gamma,delta are roots of x^(4) - 4x^(2) - x + 2 = 0 then sum alpha^(2) beta =

If alpha, beta, gamma are the roots of x^(3) + 3x + 3 = 0 , then alpha^(5) + beta^(5) + gamma^(5) =

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

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. If alpha, beta, gamma are roots of x^(3) - 5x + 4 = 0 then (alpha^(3) ...

    Text Solution

    |

  2. The sum of the fourth powers of the roots of the equation x^(3) + x + ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If alpha, beta, gamma are the roots of x^(3) - px + q = 0 then alpha^(...

    Text Solution

    |

  7. If 1,2,3 and 4 are the roots of the eqaution x^(4) + ax^(3) + b x^(2) ...

    Text Solution

    |

  8. The sum of the fourth powers of the roots of the equation x^(4) - x^(3...

    Text Solution

    |

  9. The sum of the fifth powers of the roots of the equation x^(4) - 3x^(3...

    Text Solution

    |

  10. If alpha, beta ,gamma, delta are the roots of the equation x^(4) - x^(...

    Text Solution

    |

  11. The sum of the fourth powers of the roots of the equation x^(5) + px^(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If alpha, beta, gamma are roots of 2x^(3) + 3x^(2) - 6x + 3 =0, then t...

    Text Solution

    |

  17. If alpha, beta ,gamma are roots of a cubic equation x^(3) + 2x^(2) - ...

    Text Solution

    |

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

    Text Solution

    |

  19. If alpha, beta, gamma are roots of the equation x^(3) + qx + r = 0 an...

    Text Solution

    |

  20. If alpha, beta ,gamma are roots of x^(3) + px + q = 0 then (alpha^(5) ...

    Text Solution

    |