Home
Class 11
MATHS
Find the values of K for which the inequ...

Find the values of K for which the inequality (x-3k)(x-k-3)`lt`0 is satisfied for all x such that 1`le`x`le`3.

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

Find the values of x which satisfy the inequality -3 lt 2x -1 lt 19 .

Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)+x+k) is divisible by (2x - 1).

Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)+x+k) is divisible by (2x + 3).

Find the value of k for which the given value is a solution of the given equation x^2+3ax+k=0 at x=-a

Determine the value of k for which x+2 is a factor of (x+1)^7+(2x+k)^3dot

Number of intergal values of x satisfying the inequality (x^2+6x-7)/(|x+2||x+3|) lt 0 is

Complete set of values of x satisfying the inequality x-3 lt sqrt(x^2+4x-5) is

If x is real, find the values of k for which abs(x^2+kx+1)/abs(x^2+x+1)lt3

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If (x-1) is the factors fo polynomial x^3-px+q, then prove that p-q=1

    Text Solution

    |

  2. Two roots of the equation,x^3+qx^2+11x-p=0 are 2 and 3, find (p-q)

    Text Solution

    |

  3. Find the values of K for which the inequality (x-3k)(x-k-3)lt0 is sati...

    Text Solution

    |

  4. Let alpha and beta be the roots of the equation ax^2+2bx+c=0 and alpha...

    Text Solution

    |

  5. If sin theta,costheta are the roots of the equation ax^2+bx+c=0 then f...

    Text Solution

    |

  6. If the roots alpha and beta of the quadratic equation ax^2+bx+c=0 are ...

    Text Solution

    |

  7. If x^2-px+4gt0 for all real 'x' then find 'p'

    Text Solution

    |

  8. For xinR, Prove that the given expression (x^2+34x-71)/(x^2+2x-7) can ...

    Text Solution

    |

  9. If a,b,cinR : ane0 and the quadratic equation ax^2+bx+c=0 has no real ...

    Text Solution

    |

  10. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  11. Let a,b,c be real. If ax^2+bx+c=0 has two real roots alpha,beta where ...

    Text Solution

    |

  12. Find the value of a which the equation 4x^2-2x+a=0 has two roots lying...

    Text Solution

    |

  13. Find the set of all x for which : (2x)/(2x^2+5x+2)gt1/(x+1)

    Text Solution

    |

  14. Solve the following inequalities : (x-1)/(x^2-4x+3)lt1

    Text Solution

    |

  15. Solve the following inequalities : (x^2-2x-1)/(x+1)ltx

    Text Solution

    |

  16. Solve the following inequalities : (x-1)/(x)-(x+1)/(x-1)lt2

    Text Solution

    |

  17. Solve the equation (x^2-6x)^2=81+2(x-3)^2

    Text Solution

    |

  18. Solve log(1/3)(x^2-3x+5)lt-1

    Text Solution

    |

  19. If alpha,beta,gamma are the roots of x^3+ax+b=0, then the value of alp...

    Text Solution

    |

  20. Find the number of redered pairs (x,y) satisfying x^2+1=y and y^2+1=x

    Text Solution

    |