Home
Class 12
MATHS
If x^4 - 12x ^3 +52 x^2 - 96 x+64=0 h...

If ` x^4 - 12x ^3 +52 x^2 - 96 x+64=0` have pairs of equal roots then the roots are

A

`1,1,5,5`

B

`2,2,4,4`

C

`3,3,3,3`

D

`-5,-1,-5,-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-II|54 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If x^(4) + 4x^(3) - 2x^(2) - 12x + 9 = 0 has a pair of equal roots then the roots are

If x^(4) -5x^(3) + 9x^(2) - 7x + 2 = 0 has a multiple roots of order 3 then the roots are

IF x^2 +px + q=0 and x^2 + qx +p=0 have a common root , then their other roots are the roots of

Solve x^4+x^3-2x^2-12x+9=0 , Given that it has two pairs of equal roots .

It two roots of 20x^(3) - 16x^(2) + x + 1 = 0 are equal 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 two roots of 2x^(3) - x^(2) - 22x - 24 = 0 are in the ratio 3 : 4 then the roots are

If one root of 18x^(3) + 81x^(2) + 121x + 60 = 0 is equal to half of the sum of the other two roots then the roots are

If the equation x^5 -3x^4 -5x^3 +27 x^2 - 32 x +12=0 has repeated roots , then the prime number that divides the non repeated root of this equation is

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-III
  1. If the root of kx^3 - 18x^2 - 36 x+8=0 are in H.P then k=

    Text Solution

    |

  2. If the roots of x^3 -14x^2 + 56x-64 =0 are in G.P then the mid...

    Text Solution

    |

  3. If x^4 - 12x ^3 +52 x^2 - 96 x+64=0 have pairs of equal roots t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The roots of x^3 - 13x^2 +39 x-27=0 are in

    Text Solution

    |

  7. If x^3 -3x^2 + 4=0 has a multiple root then that multiple root i...

    Text Solution

    |

  8. The multiple roots of x^(4) - 2x^(3) - 11x^(2) + 12x + 36 = 0 are

    Text Solution

    |

  9. If alpha, beta, gamma are the roiots of x^(3) - 10x^(2) +6x - 8 = 0 t...

    Text Solution

    |

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

    Text Solution

    |

  11. If alpha ,beta and gamma are the roots of x^3-2x^2+3x-4 =0 , then fi...

    Text Solution

    |

  12. If alpha , beta , gamma are the roots of x^3 +qx +r=0 then sum...

    Text Solution

    |

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

    Text Solution

    |

  14. If alpha , beta , gamma are the roots of the equation x^3 +4x^...

    Text Solution

    |

  15. If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 ...

    Text Solution

    |

  16. If alpha , beta , gamma are the roots of x^3 -7x + 6 =0 the ...

    Text Solution

    |

  17. If alpha , beta , gamma are the roots of x^3 -3x +1=0 then the...

    Text Solution

    |

  18. The equation whose roots are squares of the roots of x^3 + 2...

    Text Solution

    |

  19. The equation whose roots are cubes of the roots x^3 +2x^2 +3=0...

    Text Solution

    |

  20. If f(x) =x^3 +x^2 +x+1 then the coefficient of x in f(x+5) i...

    Text Solution

    |