Home
Class 12
MATHS
The number of integral values of 'm' les...

The number of integral values of 'm' less than 50, so that the roots of the quadratic equation `mx^(2)+(2m-1)x+(m-2)=0` are rational, are

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The quadratic equation x^(2) - (m -3)x + m =0 has

The number of all possible positive integral values of alpha for which the roots of the quadratic equation 6x^2-11x+alpha=0 are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5

Find the values of 'm', if the roots of the following quadratic equation are equal, (4+m)x^(2)+(m+1)x+1=0 .

Find the value of m so that the roots of the equation (4-m)x^(2)+(2m+4)x+(8m+1)=0 may be equal.

If both the roots of the quadratic equation x^(2)-2kx+k^(2)+k-5=0 are less than 5, then k lies in the interval.

The integral value of m for which the root of the equation m x^2+(2m-1)x+(m-2)=0 are rational are given by the expression [where n is integer] (A) n^2 (B) n(n+2) (C) n(n+1) (D) none of these

If both roots of the equation x^2-(m+1)x+(m+4)=0 are negative then m equals

Find the solution of the quadratic equation 2x^(2)-mx-25n=0 , if m+5=0 and n-1=0 .

IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 are less than 5, then k lies in the interval

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The equation (log)2(2x^2)+(log)2xdotx^((log)x((log)2x+1))+1/2log4 2(x^...

    Text Solution

    |

  2. If the lines x^2+2x y-35 y^2-4x+44 y-12=0a n d5x+lambday-8 are concur...

    Text Solution

    |

  3. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  4. If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,where ac!=0, then prove that f...

    Text Solution

    |

  5. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

    Text Solution

    |

  6. 2+3/(x+1)>2/x

    Text Solution

    |

  7. The solution set of inequality ((e^(x)-1)(2x-3)(x^(2)+x+2))/((sinx-...

    Text Solution

    |

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

    Text Solution

    |

  9. (x^4+x^2+1)/(x^2-4x-5)<0 Find Range of x

    Text Solution

    |

  10. (x^2-1)/(x^2+x+1)<1

    Text Solution

    |

  11. Solve 1le(3x^(2)-7x+8)/(x^(2)+1)le2.

    Text Solution

    |

  12. Solve (x^2-x-1)(x^2-x-7)<-5.

    Text Solution

    |

  13. (x^2-1)/(2x+5)<3

    Text Solution

    |

  14. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of composite nu...

    Text Solution

    |

  15. Let f(x)=[9^x-3^x+1] for all x in (-oo, 1), then the range of f(x) is,...

    Text Solution

    |

  16. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of integers les...

    Text Solution

    |

  17. Let g:R to R be given by g (x) =3+ 4x if g ^(n)(x) = gogogo……og (x) n ...

    Text Solution

    |

  18. The solution set of inequality ((e^(x)-1)(2x-3)(x^(2)+x+2))/((sin x -s...

    Text Solution

    |

  19. Consider the function f(x)=(.^(x+1)C(2x-8))(.^(2x-8)C(x+1)) Statement...

    Text Solution

    |

  20. If Pa n dQ are sum and product respectively of all real values of x sa...

    Text Solution

    |