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

1ltmlt5

B

-1ltmlt1

C

`-5ltmlt11/24`

D

`mlt71/24`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 2

    KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos
  • MOCK TEST 4

    KVPY PREVIOUS YEAR|Exercise EXERCISE|25 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

KVPY PREVIOUS YEAR-MOCK TEST 3-EXERCISE
  1. A function phi(x) satisfies the functional equation x^2phi(x) + phi(1-...

    Text Solution

    |

  2. If n is a natural number,then

    Text Solution

    |

  3. Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...

    Text Solution

    |

  4. Two friends visit a restaurant randomly during 5 pm to 6 pm . Among...

    Text Solution

    |

  5. For any n in N, the value of the expression sqrt(2+sqrt(2+sqrt(2+.......

    Text Solution

    |

  6. If a, b and c are distinct positive numbers, then the expression (a + ...

    Text Solution

    |

  7. The general value of theta satisfying the equation 2sin^(2)theta-3sint...

    Text Solution

    |

  8. For 3 xx 3 matrices M and N, which of the following statement(s) is/ar...

    Text Solution

    |

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

    Text Solution

    |

  10. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

    Text Solution

    |

  11. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

    Text Solution

    |

  12. A person goes to office either by car, scooter, bus or train probabili...

    Text Solution

    |

  13. The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...

    Text Solution

    |

  14. If x,y andz are three real numbers such that x+y+z=4 and x^2+y^2+z^2=6...

    Text Solution

    |

  15. A variable point P on the ellipse of eccentricity e is joined to the f...

    Text Solution

    |

  16. Letz,z0be two complex numbers z0being the cojugate of z0. The numbers ...

    Text Solution

    |

  17. A person throws dice, one the common cube and the other reglowest tera...

    Text Solution

    |

  18. The integers x,y and z each are perfect squares and x>y>z>0.If x,y,z f...

    Text Solution

    |

  19. let A1,A2,A3,...An are the vertices of a regular n sided polygon inscr...

    Text Solution

    |

  20. If p,q,r,s are in A.P.and f(x)=|(p+sinx,q+sinx,p-r+sinx),(q+sinx,r+sin...

    Text Solution

    |