Home
Class 12
MATHS
The value of a for which the quadratic e...

The value of a for which the quadratic equation
`3x^(2) + 2a^(2) + 1x + a^(2) - 3a + 2 = 0`
Possesses roots of opposite signs lies in

A

`(-oo,1)`

B

`(-oo,0)`

C

`(1,2)`

D

`((3)/(2),2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 2 (True And False)|4 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 2 (Fill In The Blanks)|3 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 1 (Fill In The Blanks)|4 Videos

  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

The real values of 'a' for which the quadratic equation 2x^(2)-(a^(3)+8a-1)x+a^(2)-4a=0 possesses roots of opposite sign is given by

The value of k for which the equation 3x^(2) + 2x (k^(2) + 1) + k^(2) - 3k + 2 = 0 has roots of opposite signs, lies in the interval

The set of all values of a'a' for which the quadratic equation 3x^(2)+2(a^(2)-3a+2)=0 possess roots of opposite sign,is a.(-oo,1) b.(-oo,0) c.(1,2) d.(3/2,2)

The values of alpha in R for which the quadratic equation 3x^(2)+2(alpha^(2)+1)x+(alpha^(2)-3 alpha+2)=0 possesses real roots of opposite sign are

The set of real values of a for which the quadratic equation ax^(2)+(2a-3)x+5=0 possesses roots of opposite signs is given by

ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2
  1. If x^3+3x^2-9x=c is of the form (x-alpha)^2(x-beta) , then c is equal ...

    Text Solution

    |

  2. If the two roots of the euqation (lamda-1) (x^(2)+x+1)^(2)-(lamda+1)(x...

    Text Solution

    |

  3. The value of a for which the quadratic equation 3x^(2) + 2a^(2) + 1x...

    Text Solution

    |

  4. If 1 lies between the roots of the equation 3x^(2)-3 sin alpha x -2 co...

    Text Solution

    |

  5. If a.4^(tan x)+ a.4^(-tan x) -2=0 has real solutions, where 0 le x le ...

    Text Solution

    |

  6. If the equation (cos theta - 1) x^(2) + (cos theta ) x + sin theta =0 ...

    Text Solution

    |

  7. If the roots of the equation (x-p) (x-q) =p^(2)- 2q^(2) be real and di...

    Text Solution

    |

  8. The value of a for which the equation 2x^(2)-2(2a+1) x+a(a-1)=0 has ro...

    Text Solution

    |

  9. Find the valuesof m for which exactly one root of the equation x^(2)-2...

    Text Solution

    |

  10. The value of lamda for. Which 2x^(2)-2(2 lamda+1) x+lamda (lamda +1)=0...

    Text Solution

    |

  11. If the equation ax^(2)+bx+c=0 (a gt 0) has two roots alpha and beta su...

    Text Solution

    |

  12. Find the values of a if x^2-2(a-1)x+(2a+1)=0 has positive roots.

    Text Solution

    |

  13. If the equation x^2 +2(a+1)x+9a−5=0 has only negative root, then

    Text Solution

    |

  14. The value of k for which both the roots of the equation 4x^(2)-20kx+(2...

    Text Solution

    |

  15. If the roots of the equation x^2-2ax+a^2+a-3=0are real and less than 3...

    Text Solution

    |

  16. If both the roots of the equation x^(2)-12kx+k^(2)+k-5=0 are less than...

    Text Solution

    |

  17. If both the roots of the equation x^(2)-6ax+2-2a+9a^(2)=0 exceed 3, th...

    Text Solution

    |

  18. If the roots of the equation bx^(2)+cx+a=0 be imaginary, then for all ...

    Text Solution

    |

  19. If cos^(4) x + sin^(2) x -lamda =0, lamda in R has real solutions, the...

    Text Solution

    |

  20. If the roots of x^(2)+x+a=0 exceed 'a' ,then

    Text Solution

    |