Home
Class 12
MATHS
The least integral value of ' m ' for wh...

The least integral value of `' m '` for which the expression `m x^2-4x+3m+1` is positive for every `x in R` is: `1` b. `-2` c. `-1` d. `2`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

  • THREE DIMENSIONAL GEOMETRY

    RESONANCE DPP|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

The number of negative intergral values of m for which the expression x ^(2) + 2(m -1) x +m +5 is positive AA x gt 1 is:

Largest integral value of m for which the quadratic expression y=x^(2)+(2m+6)x+4m+12 is always positive AA x in R is

The least integral value of m, m inR for which the range of function f (x) =(x+m)/(x^(2) +1) contains the interval [0,1] is :

The least positive integral value of x for which 10_(C_(x-1))>2(10_(C_(x))) is

The number of integral values of m for which the equation (1+m^(2)) x^(2) - 2(1+3m)x+(1+8m) = 0 , has no real roots is

The number of interal values of m for which the equation (1+m^(2))x^(2)-2(1+3m)x+(1+8m)=0, has no ral roots is

The number of integral values of m for which the quadratic expression (1 + 2m)x^(2) - 2(1 + 3m)x + 4(1 + m), x in R , is always positive is

The least positive integral value of the expression (1)/(2) log_(10) m - log_(m^(-2)) 10 is ______.

RESONANCE DPP-RELATIONS AND FUNCTIONS XII-All Questions
  1. The value of x satisfying the equation (6x+2a+3b+c)/(6x+2a-3b-c)=(2x+6...

    Text Solution

    |

  2. Total number of positive integers x for which f(x)=x^3-8x^2+20 x-13 is...

    Text Solution

    |

  3. The least integral value of ' m ' for which the expression m x^2-4x+3m...

    Text Solution

    |

  4. Values of x satisfying the inequality |x^2+8x+7|geq|x^2+4x+4|+|4x+3| f...

    Text Solution

    |

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

    Text Solution

    |

  6. f(x)=x/(x-1) then (f(a))/(f(a+1)) is equal to a.f(-a) b.f(1//a) c...

    Text Solution

    |

  7. Suppose f is a real function satisfying f(x+f(x))=4f(x)a n df(1)=4. Th...

    Text Solution

    |

  8. If f(x)=2/(4^x+2) for real numbers x , then f(1/(2011))+f(2/(2011))++f...

    Text Solution

    |

  9. A polynomial P(x) of third degree vanish when x=1 & x=-2 . This ...

    Text Solution

    |

  10. Solve the following inequalities (x-1)/x-(x+1)/(x-1)<2

    Text Solution

    |

  11. Solve inequality (x^2-5x+6)/(x^2+x+1)<0

    Text Solution

    |

  12. (x^2+4x+4)/(2x^2-x-1)>0

    Text Solution

    |

  13. ((x-4)^(2005)dot(x+8)^(2008)(x+1))/(x^(2006)(x-2)^3dot(x+3)^5 0(x-6)(x...

    Text Solution

    |

  14. Solve the following inequalities ((x-1)(x-2)(x-3))/((x+1)(x+2)(x+3))>...

    Text Solution

    |

  15. The sum of the series ""(1^2)/(2!)+(2^2)/(3!)+(3^2)/(4!)+"i s" e+1 ...

    Text Solution

    |

  16. The function f(x)=(4-x^2)/(|4x-x^3|) is (a)discontinuous at only ...

    Text Solution

    |

  17. If A is the set of even natural number less than 8 and B is the set of...

    Text Solution

    |

  18. If range of the function f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1)i s[p ,...

    Text Solution

    |

  19. In function f(x)=cos^(-1)x+cos^(-1)(x/2+(sqrt(3-3x^2))/2) , then Range...

    Text Solution

    |

  20. An extremum value of the function f(x)=(a r csinx)^3+(a r ccosx)^3 is ...

    Text Solution

    |