Home
Class 12
MATHS
If two roots of x^(3) - 4x^(2) + x + 6 =...

If two roots of `x^(3) - 4x^(2) + x + 6 = 0` are in the ratio 2 : 3 then the roots are

A

2, 3, - 1

B

`-3//2, - 2, 4 `

C

`-1, 1//2 , 2 `

D

2, 2, -1

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

If two roots of 2x^(3) - x^(2) - 22x - 24 = 0 are in the ratio 3 : 4 then the roots are

If two roots of x^3 - 9x^2 + 14 x +24 =0 are in the ratio 3:2 then the roots are

If the sum of two of the roots of 4x^(3) + 16x^(2) - 9x - 36 = 0 is zero then the roots are

If the roots of 2x^(3) - 3x^(2) - 11x + 6 = 0 are in A.P. then the roots are

If the roots of x^(4) + 5x^(3) - 30x^(2) - 40x + 64 = 0 are in G.P. then the roots are

If the roots of x^(4) - 2x^(3) - 21x^(2) + 22x + 40 = 0 are in A.P. then the roots are

If the product of two of the roots of x^(4) - 5x^(3)+5x^(2) + 5x - 6 = 0 is 3 then the roots are

If the sum of two of the roots of x^(4) - 2x^(3) - 3x^(2) + 10x - 10 = 0 is zero then the roots are

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. If one root of 24x^(3) - 14x^(2) - 63x + 45 = 0 is the double the oth...

    Text Solution

    |

  2. If one root of 24x^(3) + 46x^(2) + 9x - 9 = 0 is the double the other ...

    Text Solution

    |

  3. If two roots of x^(3) - 4x^(2) + x + 6 = 0 are in the ratio 2 : 3 then...

    Text Solution

    |

  4. If two roots of 2x^(3) - x^(2) - 22x - 24 = 0 are in the ratio 3 : 4 ...

    Text Solution

    |

  5. If the sum of two of the roots of 4x^(3) + 16x^(2) - 9x - 36 = 0 is z...

    Text Solution

    |

  6. If the sum of two of the roots of x^(4) - 2x^(3) - 3x^(2) + 10x - 10 =...

    Text Solution

    |

  7. If two of the roots of 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 are bei...

    Text Solution

    |

  8. If the roots of 2x^(3) - 3x^(2) - 11x + 6 = 0 are in A.P. then the ro...

    Text Solution

    |

  9. If the roots of x^(4) - 8x^(3) + 14x^(2) + 8x - 15 = 0 are in A.P the...

    Text Solution

    |

  10. If the roots of x^(4) - 2x^(3) - 21x^(2) + 22x + 40 = 0 are in A.P. t...

    Text Solution

    |

  11. If the roots of 3x^(3) - 26x^(2) + 52x - 24 = 0 are in G.P. then root...

    Text Solution

    |

  12. If the roots of x^(4) + 5x^(3) - 30x^(2) - 40x + 64 = 0 are in G.P. t...

    Text Solution

    |

  13. If the roots of 27x^(4) - 195x^(3) + 494x^(2) - 520x + 192 = 0 are in...

    Text Solution

    |

  14. If the roots of x^(3) - 42x^(2) + 336x - 512 = 0 , are in increasing g...

    Text Solution

    |

  15. If the roots of 3x^(3) - 22x^(2) + 48x -32 = 0 are in H.P. then the ...

    Text Solution

    |

  16. If the roots of 24x^(3) - 26x^(2) + 9x -1 = 0 are in H.P . Then the r...

    Text Solution

    |

  17. The roots of the equation x^(3) - 14x^(2) + 56x- 64 = 0 are in …… pr...

    Text Solution

    |

  18. If two of the roots of 2x^(3) - 3x^(2) - 3x + 2 = 0 are differ by 3 t...

    Text Solution

    |

  19. The difference between two roots of the equation x^(3) - 13x^(2) + 15x...

    Text Solution

    |

  20. If one root of 18x^(3) + 81x^(2) + 121x + 60 = 0 is equal to half of...

    Text Solution

    |