Home
Class 12
MATHS
The set of values of x for which the...

The set of values of x for which the inequalities ` x^2 -2x+3 gt 0, 2x^2+4x +3gt 0` hold simultancously , is

A

`(-4,1)`

B

`(-4,-3 ] cup [-2,1)`

C

`(-4,-3 ) cup (-2,1)`

D

R

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -2)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (QUADRATIC EQUATIONS)|288 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

The set of values of x for which the inequalities x^2 -3x-10 lt 0, 10 x -x^2 - 16 gt 0 hold simultancously , is

Find the set of values of x for which the inequalities x^(2)-3x-10 lt0, 10x-x^(2)-16 gt 0 hold simultaneously.

The range of values of x for which the inequality (x-1) /( 4x +5) lt ( x-3) /( 4x-3) holds is

The set of all real values of x satisfying the inequalities x^(2)-4x+3 gt0 and x^(2)-2x-8 le 0 , is

The values of x for which the inequality (8x^(2)+16x-51)/((2x-3)(x+4)) gt 3 holds, are

The integer k for which the inequality x^2 - 2 (4k -1) x+ 15 k^2 -2k -7 gt 0 is valid for any x, is

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1B (QUADRATIC EXPRESSIONS)
  1. IF x^2 +6x - 27 gt 0 -x^2 +3x +4>0 then x lies in the interv...

    Text Solution

    |

  2. The set of values of x for which the inequalities x^2 -3x-10 l...

    Text Solution

    |

  3. The set of values of x for which the inequalities x^2 -2x+3 gt ...

    Text Solution

    |

  4. IF x^2 - 2x +3 gt 0 , 2x^2 + 4 x + 3 gt 0 then x lies in the...

    Text Solution

    |

  5. the greatest negative integer satifying x^2 - 4x - 77 lt 0 a...

    Text Solution

    |

  6. If x gt 0 then the least value of x +1/x is

    Text Solution

    |

  7. the least value of cos ^2 x + sec ^2 x is

    Text Solution

    |

  8. The range of (x^2 + 2x +1)/( x^2 +2x -1) is

    Text Solution

    |

  9. The range of ( x^2 - 2x +9)/( x^2 +2x + 9 ) is

    Text Solution

    |

  10. The range of (x^2-2x+3)/(x^(2)-2x-8) is

    Text Solution

    |

  11. The range of (x^2-2x+3)/(x^(2)-2x-8) is

    Text Solution

    |

  12. IF x is real then the value of ( x ^2 - 3x +4)/( x^2 +3x +4) ...

    Text Solution

    |

  13. Show that none of the values of the function (x^(2)+34x-71)/(x^(2)+2x-...

    Text Solution

    |

  14. IF x is real , then ( x^2 - bc ) /( 2x -b-c) has values betw...

    Text Solution

    |

  15. If x is real then y= (2x^2+6x +5)/( x^2 +3x +2) between -2 an...

    Text Solution

    |

  16. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

    Text Solution

    |

  17. the ( relative ) minimum value of ( x^2 - 3x +2) /( x^2 + 3x +2...

    Text Solution

    |

  18. For x in R, the least value of (x^(2)-6x+5)/(x^(2)+2x+1) is

    Text Solution

    |

  19. If x in R, then the range of (x)/(x^(2)-5x + 9) is

    Text Solution

    |

  20. If x is real , then the maximum value of (x^(2)+14x+9)/(x^(2)+2x+3) is

    Text Solution

    |