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
a.`(-oo,1)` b. `(-oo,0)` c. `(1,2)` d. `(3//2,2)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RESONANCE DPP ENGLISH|Exercise All Questions|4 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    RESONANCE DPP ENGLISH|Exercise All Questions|53 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 possess roots of opposite sign is given by:

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

The set of values of p for which the roots of the equation 3x^(2)+2x+p(p-1)=0 are of opposite signs is :

The value of 'a' for which the quadratic equation 2x^(2) - x(a^(2) + 8a -1) + a^(2) - 4a = 0 has roots with opposite signs, lie in the interval

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 value of m for which the equation x^3-mx^2+3x-2=0 has two roots equal rea magnitude but opposite in sign, is

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.

The set of all values of a for which both roots of equation x^2-2ax+a^2-1=0 lies between -2 and 4 is (A) (-1,2) (B) (1,3) (C) (-1,3) (D) none of these

The range of a for which the equation x^2+ax-4=0 has its smaller root in the interval (-1,2)i s a. (-oo,-3) b. (0,3) c. (0,oo) d. (-oo,-3)uu(0,oo)

The set of all value of a for which one root of equation x^2-ax+1=0 is less than unity and other greater than unity (A) (-oo,2) (B) (2,oo) (C) (1,oo) (D) none of these

RESONANCE DPP ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Draw graph of the following expression. Also find extremum value if it...

    Text Solution

    |

  2. Draw graph of y=|3x-5|

    Text Solution

    |

  3. The number of integral value(s) of x satisfying the equation |x^4 .3^(...

    Text Solution

    |

  4. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

    Text Solution

    |

  5. If ln^(2)x+3lnx-4 is non negative, then x must lie in the interval :

    Text Solution

    |

  6. If log2,log(2^x-1)a n dlog2log(2^x+3) are in A.P., write the value of ...

    Text Solution

    |

  7. The n^(t h) term of the sequence 5+55+555+... is a.5xx10^(n-1) b. 5xx...

    Text Solution

    |

  8. If x^(2)+ax+10=0and x^(2)+bx-10=0 have common root, then a^(2)-b^(2) i...

    Text Solution

    |

  9. If the equation x^2=a x+b=0 has distinct real roots and x^2+a|x|+b=0 h...

    Text Solution

    |

  10. Sum of an infinitely manu terms of a G.P. is 3 times the sum of even t...

    Text Solution

    |

  11. Draw graph of y=|3x-5| b. y=|2x+1|

    Text Solution

    |

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

    Text Solution

    |

  13. |(x^(2)+2x+2)+(3x+7)|lt|x^(2)+2x+2|+|3x+7|

    Text Solution

    |

  14. If a ,b ,c are first three terms of a G.P. If the harmonic mean of a a...

    Text Solution

    |

  15. Solve the equation: |x+1|-|x|+3|x-1|-2|x-2|=x+2

    Text Solution

    |

  16. Solve the following |x^2-1|+|x^2-4|lt=3

    Text Solution

    |

  17. Let y=1/(2+1/(1+1/(2+1/(1+1/( ))))) , then the value of y is a.(...

    Text Solution

    |

  18. For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7)...

    Text Solution

    |

  19. If x epsilon R, the numbers 2^(1+x)+2^(1-x), (b)/(2), 36^(x)+36^(-x) ...

    Text Solution

    |

  20. Draw graph of the following expression. Also find extremum value if it...

    Text Solution

    |