Home
Class 12
MATHS
If the inequality (m x^2+3x+4+2x)//(x^2+...

If the inequality `(m x^2+3x+4+2x)//(x^2+2x+2)<5` is satisfied for all `x in R ,` then find the value of `mdot`

A

`m lt 5`

B

`m gt 5`

C

`m lt 71//24`

D

`m lt 71 //24`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (single correct answer type questions))|20 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise (Concept-based single correct answer type questions)|20 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

If the inequality (mx^(2)+3x+4)/(x^(2)+2x+2)<5 is satisfied for all x in R, then find the value of m.

Solve the inequality, (3x^(2) - 7x +8)/(x^(2) + 1) le 2

The complete solution set of the inequality (x^(4)-3x^(3)+2x^(2))/(x^(2)-x-30)>=0 is

Solve the inequality (x^(2)-3x+2)(x^(3)-3x^(2))(4-x^(2))>=0

The solution set of the inequality (3^(x)-4^(x))/(x^(2)-3x-4)>=0is

Solve the inequality (5)/4 sin^(2) x + sin^(2) x * cos^(2) gt cos 2x.

Find the largest integral value of ''al' for which the inequality (3x^(2)-2(a+1)x+27)/(4x^(2)-x+2)<0 is satisfied by every x in R.

Solve the inequality (x^(2)+2x+2)^(x)>=1

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Exercise ( Level 1 (single correct answer type questions))
  1. If x is real and k=(x^2-x+1)/(x2+x+1) , then k in [1//3,3] (b) kgeq3 ...

    Text Solution

    |

  2. If the equation x^(2) + bx + ca = 0 and x^(2) + cx + ab = 0 have a com...

    Text Solution

    |

  3. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

    Text Solution

    |

  4. Suppose, a, b, c are three distinct real numbers. Let P (x) =((x-b)(x-...

    Text Solution

    |

  5. If ax^(2) + bx + c, a, b, c in R, a ne 0 has real zero and a - b + c l...

    Text Solution

    |

  6. If alpha, beta are the roots of the equation x^(2)-2x-a^(2)+1=0 and ga...

    Text Solution

    |

  7. If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and a...

    Text Solution

    |

  8. The quadratic equation x^(2) + 7x = 14 (q^(2) + 1) , where q is an int...

    Text Solution

    |

  9. Let a,b,c in R and a gt 0. If the quadratic equation ax^(2) +bx +c=...

    Text Solution

    |

  10. Let a,b,c in R and a ne 0 be such that (a + c)^(2) lt b^(2) ,the...

    Text Solution

    |

  11. The integral values of a for which the quadratic equation (x - a) (x -...

    Text Solution

    |

  12. The number of real solution fo 4^(x + 1.5) + 9^(x + 0.5) = (10)/ (6^(x...

    Text Solution

    |

  13. Number of solutions to the equation 2^(sin^2 x) +5.2^(cos^2 x) = 7, in...

    Text Solution

    |

  14. The number of values of k for which the equation x^(2) - 2x + k = 0 ha...

    Text Solution

    |

  15. If roots of the equation ax^2 + bx + c = 0 are alpha/(alpha-1) and (a...

    Text Solution

    |

  16. Let x be an integer and x^2 + x + 1 is divisible by 3. When is x divid...

    Text Solution

    |

  17. If alpha, beta are roots of the equation x^(2) + ax + b = 0, then max...

    Text Solution

    |

  18. If both the roots of the equation x^(2) + bx + c = 0 lie in the interv...

    Text Solution

    |

  19. Let a, b, c in R be such that a + b + c lt 0, a - b + c lt 0 and c g...

    Text Solution

    |

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

    Text Solution

    |