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|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

The roots of the quadratic equation m^2-3m+1=0 are

The roots of the quadratic equation m^2-3m+1=0 are

Find m, if the quadratic equation x^2-2(m+1)x+m^2=0

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

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

If the roots of the equation lx^(2) +mx +m=0 are in the ratio p:q, then

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

Find m, if the quadratic equation (m-12)x^(2)+2(m-12)x+2=0 has real and eqaul roots.

RESONANCE DPP-JEE MAINS-All Questions
  1. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

    Text Solution

    |

  2. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

    Text Solution

    |

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

    Text Solution

    |

  4. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  5. Find the set of values of 'a', for which the expression y=(ax^2+6x-8...

    Text Solution

    |

  6. Consider a square matrix A or order 2 which has its elements as 0, 1, ...

    Text Solution

    |

  7. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

    Text Solution

    |

  8. Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...

    Text Solution

    |

  9. If p,q are the roots of the quadratic equation x^2 + 2bx + c = 0, pro...

    Text Solution

    |

  10. (sin theta)/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(cos27thet...

    Text Solution

    |

  11. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  12. If f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+b...

    Text Solution

    |

  13. Number of solutions of the simultaneous equations |x| + |y|=3 and sin ...

    Text Solution

    |

  14. A solution of the system of equations x-y=1/3 and cos^2pix-sin^2πy=1/2...

    Text Solution

    |

  15. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  16. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

    Text Solution

    |

  17. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  18. The number of four-digit numbers that can be made with the digits 1...

    Text Solution

    |

  19. The third term of a G.P. is the square of the first term. If the secon...

    Text Solution

    |

  20. Urn A contains 2 white, 1 black and 3 red balls, urn B contains 3 w...

    Text Solution

    |