Home
Class 12
MATHS
If 1,2,3 and 4 are the roots of the eqau...

If 1,2,3 and 4 are the roots of the eqaution `x^(4) + ax^(3) + b x^(2) + cx + d = 0, ` then a + 2b + c =

A

3ab + `a^(3) - c`

B

3ab - `a^(3) + c `

C

`3ab + a^(3) + c`

D

`3ab - a^(3) - 3c`

Text Solution

Verified by Experts

The correct Answer is:
4
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 1,2,3 and 4 are the roots of the equation x^4 + ax^3 + bx^2 +cx +d=0 then a+ 2b +c=

If 2, - 2, 4 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roots of 8ax^(3) + 4bx^(2) + 2cx + d = 0 are

If 1, -2, 3 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roots of ax^(3) + 3bx^(2) + 9cx + 27d = 0 are

If 3/4, -5/2, 1/2 , -3 are the roots of ax^(4) + bx^(3) + cx^(2) + dx + e = 0 then the roots of ex^(4) + dx^(3) + cx^(2) + bx + d = 0 are

If -2, 5, 7, - 11 are the roots of ax^(4) + bx^(3) +cx^(2) + dx + e = 0 then the roots of ax^(4) - bx^(3) + cx^(2) - dx + e = 0 are

If 1,2,3 and 4 are the roots of x^4+ax^3+bx^2+cx+d=0 , then find the values of a,b,c and d.

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |