Home
Class 11
MATHS
Value of p, so that 6 lies between roots...

Value of p, so that 6 lies between roots of the equation `x^2+2(p-3)x+9`=0

A

`(-infty,+infty)`

B

`(-infty,-3/4)`

C

`(-infty,0)cup (6,infty)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

The roots of the equation x^(2)+x-6=0 are

Find the value of p so that the roots of the equation 3x^2-2(7+9p)x+(8-5p)=0 are reciprocal to one another.

Find the value of p so that the roots of the equation 3x^2-2(7+9p)x+(8-5p)=0 are reciprocal to one another.

IF p^3-q(3p-1)+q^2=0 , find the relation between the roots of the equation x^2+px+q=0 .

If p and q are the roots of the equation x^2+px+q =0, then

The value of a so that the sum of the squares of the roots of the equation x^2-(a-2)x-a+1=0 assume the least value, is

The value of a so that the sum of the squares of the roots of the equation x^(2)-(a-2)x+1-a =0 assumes the least value is -

If the roots of the equation qx^2+2px+2q=0 are real and unequal, prove that the roots of the equation (p+q)x^2+2qx+(p-q)=0 are imaginary.

If p,q are odd integers, then the roots of the equation 2px^(2)+(2p+q)x+q=0 are

If the roots of the equation qx^2 + 2px + 2q =.0 are real and unequal then prove that the roots of the equation (p + q)x^2 + 2qx + (p - q)=0 are imaginary,

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. The equation x^3+5x^2+px+q=0 and x^3+7x^2+px+r=0 have two roots in com...

    Text Solution

    |

  2. If the roots of x^2+bx+c=0 are both real and greater than unity, then ...

    Text Solution

    |

  3. Value of p, so that 6 lies between roots of the equation x^2+2(p-3)x+9...

    Text Solution

    |

  4. Ifx^2-(a-3)x+a=0 has at least one positive root,then

    Text Solution

    |

  5. If the roots of the equation x^2-2ax+a^2 + a-3=0 are less than 3 then

    Text Solution

    |

  6. The number of solutions of log2(x-1)=2log2(x-3) is

    Text Solution

    |

  7. If x=(sqrt13+2sqrt3), then x+1/x is equal to ?

    Text Solution

    |

  8. The sum of all real roots of the equationabs(x-2)^2+abs(x-2)-2=0 is

    Text Solution

    |

  9. If alpha is a root of 4x^2+2x-1=0, then the other root is

    Text Solution

    |

  10. If e^(cos x)-e^(-cos x) =4, then the value of the cosx is

    Text Solution

    |

  11. If altbltcltd, then the roots of equation (x-a)(x-c)+2(x-b)(x-d)=0, ar...

    Text Solution

    |

  12. If alphaand beta(alphaltbeta) are the roots of the equation x^2+bx+c=0...

    Text Solution

    |

  13. If tan of angles A,B,C are the solutions of the equations tan^3x+3ktan...

    Text Solution

    |

  14. The number of solutions of the equation sin(e^x)=5^x+5^(-x)is

    Text Solution

    |

  15. If p(x) be a polynomial satisfying the identity p(x^2)+2x^2+10x=2xp(x+...

    Text Solution

    |

  16. Ifbgta, then the equation (x-a)(x-b)-1=0, has

    Text Solution

    |

  17. The value of alpha and beta such that equation x^2+2x+2+e^a-sinbeta=0 ...

    Text Solution

    |

  18. The values of 'a' for which x^2+ax+sin^-1(x^2-4x+5)+cos^-1(x^2-4x+5)=...

    Text Solution

    |

  19. The number of real solution to the equation -x^2+x-1=sin^(2)x

    Text Solution

    |

  20. If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d=0 then...

    Text Solution

    |