Home
Class 11
MATHS
The quadratic equation 2x^2-(a^3+8a-1)x+...

The quadratic equation `2x^2-(a^3+8a-1)x+a^2-4a=0` possesses roots of opposite sign. Then

A

`ale0`

B

`0ltalt4`

C

`4lealt8`

D

`age8`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

The quadratic equation 2x^(2)-(a^(3)+8a-1)x+a^(2)-4a=0 possesse roots of opposite sign . Then -

Find values of a for which the quadratic equation 3x^2+2(a^2+1)x+(a^2-3a+2)=0 possesses roots of opposite sign.

The roots of the quadratic equation 2x^2+3x+1 =0 are

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are equal in magnitude but opposite in sign

If the roots alpha and beta of the quadratic equation ax^2+bx+c =0 are real and of opposite sign.then show that roots of the equation alpha(x-beta)^2+beta(x-alpha)^2 =0 are also real and of opposite sign.

The quadratic equation x^(2)-2x+1=0 have no real root.

If the equation (a-5)x^2+2(a-10)x+a+10=0 has roots of opposite sign, then find the value of adot

The quadratic equations x^2-6x+a=0 and x^2-cx+6=0 have one root in common. Other two roots of the equations are integers and they are in the ration 4:3. Then the common root is

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are such that both the root lies in the interval (1,3)

Two roots of the quadratic equation 2x^(2) +3ix+2 =0 are-

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If a, b and c are positive numbers in a G.P., then the roots of the qu...

    Text Solution

    |

  2. If the equation x^2+2x+3=0 and ax^2+bx+c=0 , a, b, c in R, have a comm...

    Text Solution

    |

  3. If alpha and beta are the roots of x^2-x+1=0,then the value of alpha^(...

    Text Solution

    |

  4. If alpha,beta are the roots of the quadratic equation x^2+ax+b=0, (bne...

    Text Solution

    |

  5. Let p(x) be a quadratic polynomial with constant term 1. Suppose p(x) ...

    Text Solution

    |

  6. If alpha,beta are the roots of the quadratic equation ax^2+bx+c=0 and ...

    Text Solution

    |

  7. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

    Text Solution

    |

  8. What is the calorific value of 80 gms of carbohydrate, 15 gms of prote...

    Text Solution

    |

  9. The equation e^(sin x) -e^(-sin x)-4=0 has

    Text Solution

    |

  10. The equations x^2+x+a=0 and x^2+ax+1=0 have a common real root

    Text Solution

    |

  11. If (alpha+sqrtbeta) and (alpha-sqrtbeta) are the roots of the equation...

    Text Solution

    |

  12. If a, b, c are in arithmetic progression, then the roots of the equati...

    Text Solution

    |

  13. The quadratic equation 2x^2-(a^3+8a-1)x+a^2-4a=0 possesses roots of op...

    Text Solution

    |

  14. A value of b for which the equations x^2+bx-1=0, x^2+x+b =0 have one r...

    Text Solution

    |

  15. Let alpha and beta be the roots of the equation x^2-6x-2=0. If an=alph...

    Text Solution

    |

  16. Let alpha,beta be real and z be a complex number. Ifz^2+alphaz+beta=0 ...

    Text Solution

    |

  17. If sintheta and costheta are the roots of the equation ax^2-bx+c=0, th...

    Text Solution

    |

  18. Let a, b, c be three number such that a+2b+4c=0. Then the equation ax^...

    Text Solution

    |

  19. If the ratio of the roots of the equation px^2+qx+r is a:b, then ab/(...

    Text Solution

    |

  20. If alpha and beta are the roots of the equation x^2+x+1=0, then the eq...

    Text Solution

    |