Home
Class 12
MATHS
For what values of m epsilonR, both root...

For what values of `m epsilonR`, both roots of the equation `x^(2)-6mx+9m^(2)-2m-2=0` exceed 3?

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

For what value of m, the roots of the equation x^(2)-x+m=0 are non real

If both roots of the equation x^(2)+x+a=0 exceeds 'a' then

All the values of m for whilch both the roots of the equation x^(2)-2mx+m^(2)-1=0 are greater than -2 but less than 4 lie in the interval -2 3 c.-1

if both root of equation x^(2)-6ax+2-2a+9a^(2)=0 exceeds 3 then show that a>(11)/(9)

Find the valuesof m for which exactly one root of the equation x^(2)-2mx+m^(2)-1=0 lies in the interval (-2,4)

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

If two roots of the equation x^(3)+mx^(2)+11x-n=0 are 2 and 3 then (m+n)=

A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. If a, b, c are in HP, find the relation between the roots of ax^2+bx+c...

    Text Solution

    |

  2. Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbet...

    Text Solution

    |

  3. For what values of m epsilonR, both roots of the equation x^(2)-6mx+9m...

    Text Solution

    |

  4. If ax^2-bx + c=0 have two distinct roots lying in the interval (0,1); ...

    Text Solution

    |

  5. The set of values of a for which the inequality, x^2 + ax + a^2 + 6a ...

    Text Solution

    |

  6. Find all integral values of a for which the quadratic expression (x - ...

    Text Solution

    |

  7. Find the values of the parameter a for which 4^x-a.2^x-a+3 <= 0 for at...

    Text Solution

    |

  8. Find all values of the parameter a for which the inequality a.9^x +4(a...

    Text Solution

    |

  9. Solve the equation sqrt(a(2x^x-2)+1)=1-2^x ,x in Rdot

    Text Solution

    |

  10. Find the possible values of 'a' such that the inequality 3-x^(2)gt ...

    Text Solution

    |

  11. The sum of all the integral value(s) of k in [0, 15] for which the ine...

    Text Solution

    |

  12. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

    Text Solution

    |

  13. If alpha,betaa n dgamma are roots of 2x 63+x^3-7=0 , then find the val...

    Text Solution

    |

  14. If f(x)=x^2+b x^2+c x+da n df(0),f(-1) are odd integers, prove that f(...

    Text Solution

    |

  15. If a, b, c are in GP, then the equations ax^2 +2bx+c = 0 and dx^2 +2ex...

    Text Solution

    |

  16. Show that the minimum value of (x+a)(x+b)//(x+c)dotw h e r ea > c ,b >...

    Text Solution

    |

  17. Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) ...

    Text Solution

    |

  18. If |(12x)/(4x^(2)+9)| le 1, then

    Text Solution

    |

  19. Prove that for all real values of xa n dy ,x^2j+2x y+3y^2-6x-2ygeq-11.

    Text Solution

    |

  20. The value(s) of m for which the expression 2x^2+mxy+3y^2-5y-2 can be ...

    Text Solution

    |