Home
Class 12
MATHS
If alpha , beta , gamma are the roots of...

If `alpha , beta , gamma` are the roots of the equation `x^(3) + 4x + 2 = 0` ,then `alpha^(3) + beta^(3) + gamma^(3)` =

A

`-6`

B

2

C

6

D

`-2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2010

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • KARNATAKA CET 2013

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma are the roots of the equation 2x^(3) -3x^(2) +6x + 1 = 0 then alpha^(2) + beta^(2) + gamma^(2) is equal to…..

If alpha and beta are roots of the equation x^(2) + x + 1 = 0, then alpha^(2) + beta^(2) is

If alpha,beta are roots of the equation 6x^(2) + 11x + 3 = 0 then :

If alpha, beta and gamma are the roots of the equation x^(3)-8x+8=0 , then sum alpha^(2) and sum (1)/(alpha beta) are respectively

alpha, beta and gamma are zeros of the cubic polynomial kx^(3) - 5x + 9 . If alpha^(3) + beta^(3) + gamma^(3) = 27 , value of k is

If alpha, beta, gamma are the roots of the equation x^(4)+Ax^(3)+Bx^(2)+Cx+D=0 such that alpha beta= gamma delta=k and A,B,C,D are the roots of x^(4)-2x^(3)+4x^(2)+6x-21=0 such that A+B=0 The correct statement is

If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha^(2009)+beta^(2009)=

If alpha, beta, gamma, delta are the roots of the equation x^(4)+Ax^(3)+Bx^(2)+Cx+D=0 such that alpha beta= gamma delta=k and A,B,C,D are the roots of x^(4)-2x^(3)+4x^(2)+6x-21=0 such that A+B=0 The value of C/A is

If alpha, beta, gamma, delta are the roots of the equation x^(4)+Ax^(3)+Bx^(2)+Cx+D=0 such that alpha beta= gamma delta=k and A,B,C,D are the roots of x^(4)-2x^(3)+4x^(2)+6x-21=0 such that A+B=0 The value of (alpha+beta)(gamma+delta) is terms of B and k is

If alpha, beta, and gamma are the zeros of 2x^(3) - 4x^(2) + 6x +9 , find value of alpha ^(-1) + beta^(-1) + gamma^(-1)

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2012-MATHEMATICS
  1. Lt(x to 0) (x 2^(x) - x)/(1 - cos x ) =

    Text Solution

    |

  2. (3x + 1)/(( x- 1) (x - 3)) = (A)/(x - 1) + (B)/(x - 3) , then sin^(-1)...

    Text Solution

    |

  3. If alpha , beta , gamma are the roots of the equation x^(3) + 4x + 2 =...

    Text Solution

    |

  4. The value of ""^(10) C(2) + ""^(10) C(3) + … + ""^(10) C(9) is

    Text Solution

    |

  5. p to - q can also be written as

    Text Solution

    |

  6. If f : R to R is defined by f (x) = 2x + 3 , then f^(-1) x

    Text Solution

    |

  7. (sin 70^(@) + cos 40^(@))/(cos 70^(@) + sin 40^(@)) =

    Text Solution

    |

  8. The points (11,9) , (2 , 1) and (2 , -1) are the midpoints of the side...

    Text Solution

    |

  9. The reflection of the point (1 , 1) along the line y = -x is

    Text Solution

    |

  10. The number of circles that touch the co-ordinate axes and the line who...

    Text Solution

    |

  11. If f(x) is an even function , then f'(x) is

    Text Solution

    |

  12. The perimeter of a sector is a constant . If its area is to be maximum...

    Text Solution

    |

  13. The last digit of number 7^(886) is

    Text Solution

    |

  14. If (24 , 92) = 24 m + 92 n , then ( m , n) is

    Text Solution

    |

  15. The characteristic equation of a matrix A is lambda^(3) - 5 lambda^(2)...

    Text Solution

    |

  16. If hati+ hatj - hatk and 2hati - 3 hatj + hatk are adjacent sides of a...

    Text Solution

    |

  17. If the volume of the parallelepiped formed by three non-coplanar vecto...

    Text Solution

    |

  18. Which of the following is a subgroup of the group G = {2^(n)| n in N }...

    Text Solution

    |

  19. In the group G = { 1 , 2 , 3 ,4 , 5 , 6} under ox (7) , the solution...

    Text Solution

    |

  20. The number of real solutions of the equation tan^(-1) sqrt( x ( x + 1)...

    Text Solution

    |