Home
Class 12
MATHS
If alpha+ beta + gamma = 6, alpha^(2) + ...

If `alpha+ beta + gamma = 6, alpha^(2) + beta^(2) + gamma^(2) = 14 ` and `alpha^(3) + beta^(3) + gamma^(3) = 36, ` then `alpha^(4) + beta^(4) + gamma^(4)` =

A

98

B

103

C

224

D

342

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

cos alpha + cos beta + cos gamma + cos ( alpha + beta + gamma ) =

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

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 the equation x^(3) - 6x^(2) + 11x - 6 = 0 and if a = alpha^(2) + beta^(2) + gamma^(2) , b = alpha beta + beta gamma + gamma alpha and c = (alpha + beta) (beta + gamma)(gamma + alpha), then the correct inequality among the following is :

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

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

    Text Solution

    |

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

    Text Solution

    |

  3. If alpha+ beta + gamma = 6, alpha^(2) + beta^(2) + gamma^(2) = 14 and...

    Text Solution

    |

  4. If alpha+ beta + gamma = 1, alpha^(2) + beta^(2) + gamma^(2) = 2 and ...

    Text Solution

    |

  5. If alpha, beta, gamma are roots of a cubic equation satisfying the re...

    Text Solution

    |

  6. If alpha, beta, gamma, delta are roots of x^(4) + px^(3) + qx^(2) + rx...

    Text Solution

    |

  7. If alpha, beta, gamma, delta are roots of x^(4) + px^(3) + qx^(2) + rx...

    Text Solution

    |

  8. If alpha, beta, gamma, delta are roots of the equation a x^(4) + 4b x^...

    Text Solution

    |

  9. If alpha, beta, gamma, delta are roots of ax^(4) + 4bx^(3) + 6cx^(2) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If alpha, beta, gamma are roots of the equationx^(3) + px^(2) + qx + ...

    Text Solution

    |

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

    Text Solution

    |

  16. If alpha, beta, gamma are roots of the equationx^(3) + px^(2) + qx + ...

    Text Solution

    |

  17. If alpha, beta, gamma are roots of the equationx^(3) + px^(2) + qx + ...

    Text Solution

    |

  18. If alpha, beta, gamma are roots of the equation px^(3) + qx^(2) + rx ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |