Home
Class 12
MATHS
If the roots of x^(4) - 2x^(3) - 21x^(2)...

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

A

2/3, -1/2, 1, 2

B

1, `pm`2, -3

C

`pm sqrt(3),` 3/4, -1/2

D

`-4, -1, 2, 5 `

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 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 + 22 x + 40 =0 are in A.P then the roots are

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

The roots of 2x^(4) + x^(3) - 6x^(2) + x + 2 = 0 are

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

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

The roots of 2x^(5) + x^(4) - 12x^(3) - 12x^(2) + x + 2 = 0 are

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

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. If the roots of 2x^(3) - 3x^(2) - 11x + 6 = 0 are in A.P. then the ro...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If the product of two of 6x^(4) - 29x^(3) + 40x^(2) - 7x - 12 = 0 is ...

    Text Solution

    |

  15. If the product of two of the roots of x^(4) - 5x^(3)+5x^(2) + 5x - 6 =...

    Text Solution

    |

  16. The roots of x^(4) - 12x^(3) + 34x^(2) - 12x + 1 = 0 are

    Text Solution

    |

  17. The condition that the roots of x^(3)+ 3px^(2) + 3qx + r = 0 may be i...

    Text Solution

    |

  18. The condition that the roots of x^(3) + 3px^(2) + 3qx + r = 0 may be ...

    Text Solution

    |

  19. The condition that the roots of x^(3) -bx^(2) + cx - d = 0 are in geo...

    Text Solution

    |

  20. The condition that the roots of x^(3) + 3px^(2) + 3qx + r = 0 may be ...

    Text Solution

    |