Home
Class 12
MATHS
The number of interal values of m for wh...

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

Promotional Banner

Topper's Solved these Questions

  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos

  • Function

    A DAS GUPTA|Exercise Exercise|57 Videos

Similar Questions

Explore conceptually related problems

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

Absolute sum of integral values of m for which the equation (m^(2)+2m+1)x^(2)-2(m+1)x+(m+1)^(4)-9=0 has rational 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

Find the set of real values of 'm' for which the equation ((x)/(1+x^(2)))^(2)-(m-3)((x)/(1+x^(2)))+m=0 has real roots.

The value of m for which the equation x^(2)-x+m^(2)=0 has no real roots is given as

Find all the value of m for which the equation sin^(2)x-(m-3)sin x+m=0 has real roots.

Determine the value(s) of m for which the equation x^(2)+m(4x+m-1)+2=0 has real roots.

If the equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 where m in R-{-1}, has at least one root is

The number of integral values of m, for which the root of x^(2)-2mx+m^(2)-1=0 will lie between -2 and 4

A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. Solve the following inequalities |log3x|-log3x-3<0

    Text Solution

    |

  2. The solution of |x|^(x^2-x-2)<1 is

    Text Solution

    |

  3. The number of interal values of m for which the equation (1+m^(2))x^(2...

    Text Solution

    |

  4. if the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal then...

    Text Solution

    |

  5. The roots of the equation (a^2+b^2)x^2-2(b c+a d)x+(c^2+d^2)=0 are equ...

    Text Solution

    |

  6. If a ,b ,c(a b c^2)x^2+3a^2c x+b^2c x-6a^2-a b+2b^2=0 ares rational.

    Text Solution

    |

  7. Show that if p,q,r and s are real numbers and pr=2(q+s), then atleast ...

    Text Solution

    |

  8. If a x^2+(b-c)x+a-b-c=0 has unequal real roots for all c in R ,t h e ...

    Text Solution

    |

  9. -If a,b,c in R then prove that the roots of the equation 1/(x-a)+1/(x-...

    Text Solution

    |

  10. If the equations ax + by = 1 and cx^2 +dy^2=1 have only one solution, ...

    Text Solution

    |

  11. If a,b,c are odd integere then about that ax^2+bx+c=0, does not have r...

    Text Solution

    |

  12. Show that the equation e^(sinx)-e^(-sinx)-4=0 has no real solution.

    Text Solution

    |

  13. 14 For what values of p, the roots of the equation 12(p+2)x^2-12(2p-1)...

    Text Solution

    |

  14. If the ratio of the roots of the equation lx^2+nx+n=0 is p:q prove tha...

    Text Solution

    |

  15. If one root of equation (l-m) x^2 + lx + 1 = 0 be double of the other ...

    Text Solution

    |

  16. if the roots of the equation 1/ (x+p) + 1/ (x+q) = 1/r are equal in ma...

    Text Solution

    |

  17. If one root of the quadratic equation ax^(2)+bx+c=0 is equal to the ...

    Text Solution

    |

  18. If a,b,c are in G.P. then the roots of the equation a x^2 + bx + c = 0...

    Text Solution

    |

  19. Let a gt 0, b gt 0 then both roots of the equation ax^(2)+bx+c=0

    Text Solution

    |

  20. If alpha is a root of the equation x^2+2x-1=0, then prove that 4alpha^...

    Text Solution

    |