Home
Class 12
MATHS
The set of all values of ' a ' for which...

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

A

`(-oo,1)`

B

`(-oo,0)`

C

`(1,2)`

D

`(3//2,2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

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 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

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

RESONANCE-DPP-QUESTION
  1. lf alpha and beta are the roots of the equation x^2-ax + b = 0 and ...

    Text Solution

    |

  2. Let r,s and t be the roots of the equation, 8x^(3)+1001x+2008=0. The v...

    Text Solution

    |

  3. The set of all values of ' a ' for which the quadratic equation 3x^2+2...

    Text Solution

    |

  4. If b^(2)gt4ac then roots of equation ax^(4)+bx^(2)+c=0 are all real & ...

    Text Solution

    |

  5. If the tan theta and sec theta are rots of the equation ax^(2)+bx+cx=0...

    Text Solution

    |

  6. Consider a quadratic equation ax^(2)+bx+c=0"where"a,b,c inR and a ne 0...

    Text Solution

    |

  7. All the roots of x^(3)+ax^(2)+bx+c are positive integers greater than ...

    Text Solution

    |

  8. The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are a...

    Text Solution

    |

  9. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  10. If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+...

    Text Solution

    |

  11. If x1, x2& x3 are three distinct numbers which satisfy the relation (a...

    Text Solution

    |

  12. When a polynomial P (x) is divided by x,(x-2)and (x-3), remainders are...

    Text Solution

    |

  13. Number of zeros after decimal before first significant dign in the num...

    Text Solution

    |

  14. The expressin (1)/(1+(x)/(1-(x)/(x+2)))div ((1)/(1-x)+(1)/(1+x))/((...

    Text Solution

    |

  15. For any two non-empty sets A and B which of the following is pair wise...

    Text Solution

    |

  16. In a survey, 50 people like product A, 30 people like product B and 20...

    Text Solution

    |

  17. If A {phi,{phi},{{phi}}, then the number of proper subsets of the powe...

    Text Solution

    |

  18. In an examination of a certain class, at least 70% of the students fai...

    Text Solution

    |

  19. Let N=((log)3 135)/((log)(15)3)-((log)3 5)/((log)(405)3)dot Then N is ...

    Text Solution

    |

  20. The expression (n^3 - n), where 'n' is any odd natural number is divis...

    Text Solution

    |