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

If the roots of the equation `4x^(3)-12x^(2)+11x+k=0` are in arithmetic progression, then k is equal to

A

-3

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES, HEIGHTS AND DISTANCES

    SIA PUBLICATION|Exercise Problems|54 Videos
  • QUESTION PAPER

    SIA PUBLICATION|Exercise CHEMISTRY|8 Videos

Similar Questions

Explore conceptually related problems

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

The repeated root of the equation 4x^3 -12x^2 -15x -4=0 is

The sum of the roots of the equation 3x^(2) - 7x + 11 = 0

If the roots 4x^(3) - 12x^(2) + 11x + k = 0 are in A.P. then k =

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

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

Each of the roots of the equation x^(3) - 6x^(2) + 6x - 5 = 0 are increased by k so that the new transformed equation does not contain x^(2) term. Then k =

SIA PUBLICATION-QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS -Problems
  1. If alpha is non real root of x^(6)=1, then (alpha^(5)+alpha^(3)+alpha+...

    Text Solution

    |

  2. If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx...

    Text Solution

    |

  3. If the roots of the equation 4x^(3)-12x^(2)+11x+k=0 are in arithmetic ...

    Text Solution

    |

  4. the set of all solutions of the inequation x^2-2x +5 le 0 in ...

    Text Solution

    |

  5. alpha , beta, gamma are the roots of the equation x^(3)-10x^(2)+7x+8=0...

    Text Solution

    |

  6. If f(x) is a polynomial of degree 'n' with rational co-efficients and ...

    Text Solution

    |

  7. The solution set contained in R of the inequation 3^(x)+3^(1-x)-4 lt0,...

    Text Solution

    |

  8. If alpha, beta , gamma are the roots of the equation x^(3)+4x+1=0, the...

    Text Solution

    |

  9. If the sum of the roots of x^(3)+px^(2)-qx+r=0 is zero, then pq is equ...

    Text Solution

    |

  10. Let a !=0, and p(x) be a polynomial of degree greater than 2. If p(x) ...

    Text Solution

    |

  11. If the equations x^(2)+ax+b=0 and x^(2)+bx+a=0 (a != b) have a common ...

    Text Solution

    |

  12. If 3 is a root of x^(2)+kx-24=0, it is also a root of

    Text Solution

    |

  13. To remove the second term of the equation x^(4)-8x^(3)+x^(2)-x+3=0, di...

    Text Solution

    |

  14. The maximum possible number of real roots of the equation x^(5)-6x^(2)...

    Text Solution

    |

  15. If alpha, beta, gamma are the roots of the equation x^(3)+ax^(2)+bx+c=...

    Text Solution

    |

  16. If (1+sqrt(3)i)/(2) is a root of the equation x^(4)-x^(3)+x-1=0 then i...

    Text Solution

    |

  17. If alpha, beta , gamma are the roots of 2x^(3)-2x-1=0, ( Sigma alpha b...

    Text Solution

    |

  18. If alpha, beta are roots of the equation x^(2)+bx+c=0 and alpha+h, bet...

    Text Solution

    |

  19. Each of the roots of the equation x^(3)-6x^(2)+6x-5=0 are the increase...

    Text Solution

    |

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

    Text Solution

    |