Home
Class 11
MATHS
Find values of a for which the quadratic...

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.

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 possesses roots of opposite sign. Then

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

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 opposite in sign

The value of k for which (2)/(3) is a root of the quadratic equation 7x^(2)-kx-3=0 is

Find all real values of a for which the equation x^4+(a-1)x^3+x^2+(a-1)x+1=0 possesses at least two distinct positive roots.

The sum of the roots of the quadratic equation x^(2)-6x+2=0 is

Find the roots of the quadratic equation |x^(2)|-3|x|+2=0 .

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 positive

Find the value of a for which one root of the quadratic equation (a^2-5a+3)x^2+(3a-1)x+2=0 is twice as large as the other.

For what value of k(-a) is a root of the quadratic equation 2x^(2)+3ax+k=0 ?

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. abs(x^2-3x-4)=9-abs(x^2-1)

    Text Solution

    |

  2. Find the values of 'a' which 4^t-(a-4)2^t+9/4alt0,foralltin(1,2)

    Text Solution

    |

  3. Find values of a for which the quadratic equation 3x^2+2(a^2+1)x+(a^2-...

    Text Solution

    |

  4. For what real 'p' do the roots of x^2-2x-p^2+1=0 lie between the roots...

    Text Solution

    |

  5. Ifax^2-bx+c=0 has two distinct roots lying in the interval (0,1),a,b,c...

    Text Solution

    |

  6. Find the values of theta in the interval (-pi/2,pi/2) satisfying the e...

    Text Solution

    |

  7. Find the value of lamda for which the inequality 3-abs(x-lamda)gtx^2 i...

    Text Solution

    |

  8. The equation x-2/(x-1)=1-2/(x-1) has

    Text Solution

    |

  9. Let alpha,beta be the equation x^2-px+r=0 and alpha/2,2beta be the roo...

    Text Solution

    |

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

    Text Solution

    |

  11. alpha,beta are the roots of the equation (a-2)x^2-(5-a)x-5=0.Find 'a' ...

    Text Solution

    |

  12. If f(x) = g(x)^3+xh(x)^3 is divisible by x^2+x+1, then

    Text Solution

    |

  13. If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal,the...

    Text Solution

    |

  14. If the roots of the equation 6x^3-11x^2+6x-1=0 are in H.P., then the r...

    Text Solution

    |

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

    Text Solution

    |

  16. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

    Text Solution

    |

  17. In what interval 'm' must lie so that the root of the equation x^2-2mx...

    Text Solution

    |

  18. The necessary and sufficient condition for the equation (1-a^2)x^2+2ax...

    Text Solution

    |

  19. For all 'x', x^2+2ax+(10-3a)gt0, then the interval .In which 'a' lies ...

    Text Solution

    |

  20. The maximum value of 2-3x-4x^2

    Text Solution

    |