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

If `alpha, beta , gamma` are the roots of `2x^(3)-2x-1=0, ( Sigma alpha beta)^(2)` is equal to

A

`b+q`

B

`b-q`

C

`1/2 (b+q`

D

`1/2 (b-q)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

If alpha , beta , gamma are the roots of 2x^3 -2x -1=0 the sum ( alpha beta)^2 =

If alpha, beta, gamma are the roots of x^(3) + x^(2) + x + 1 = 0 then (alpha - beta)^(2) + (beta - gamma)^(2) + (gamma - alpha)^(2) =

If alpha , beta , gamma are the roots of x^3 +2x^2 -3x -1=0 then alpha^(-2) + beta^(-2) + gamma^(-2)=

If alpha, beta, gamma are the roots of x^(3) + x^(2) + x + 1 = 0 then alpha^(2) + beta^(2) + gamma^(2) =

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

If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =

If alpha, beta ,gamma are the roots of 2x^(3) - 5x^(2) + 3x - 1 = 0 then (1)/(alpha beta ) + (1)/(beta gamma) + (1)/(gamma alpha) =

If alpha, beta ,gamma are the roots of x^(3) + x^(2) + x + 1 = 0 then alpha^(3) + beta^(3) + gamma^(3) =

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^2 beta + sum alpha beta ^2

SIA PUBLICATION-QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS -Problems
  1. If the roots of the equation 4x^(3)-12x^(2)+11x+k=0 are in arithmetic ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If 1 is multiple root of order 3 for the equation x^(4)-2x^(3)+2x-1=0,...

    Text Solution

    |

  20. The biquadratic equation, two of whose roots are 1+i,1-sqrt(2) is

    Text Solution

    |