Home
Class 11
MATHS
Find the value of lamda for which the in...

Find the value of `lamda` for which the inequality `3-abs(x-lamda)gtx^2` is satisfied by atleast one negative `x in R.`

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

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

Find the value(s) of 'a' for which the inequality tan^(2)x + (a+1) tanx-(a-3)<0 , is true for at least one x∈(0,pi/2) .

Draw the graph of f(x) =y= |x-1|+3|x-2|-5|x-4| and find the values of lamda for which the equation f(x) = lamda has roots of opposite sign.

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are negative

The value of lamda for which the straight line (x -lamda)/(3) = (y -1)/(2 + lamda) = (z-3)/(-1) may lie on the plane x - 2y = 0 is

Determine the value of lamda for which the vectors 3i + lamda hat(j) and lamda hat(i) + 12 hat(j) are collinear

The solution of the inequality (abs(x+2)-absx)/sqrt(4-x^3)ge0 is

The set of values of x which satisfy the inequation (5x+8)/(4-x)lt2 , are-

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. Ifax^2-bx+c=0 has two distinct roots lying in the interval (0,1),a,b,c...

    Text Solution

    |

  2. Find the values of theta in the interval (-pi/2,pi/2) satisfying the e...

    Text Solution

    |

  3. Find the value of lamda for which the inequality 3-abs(x-lamda)gtx^2 i...

    Text Solution

    |

  4. The equation x-2/(x-1)=1-2/(x-1) has

    Text Solution

    |

  5. Let alpha,beta be the equation x^2-px+r=0 and alpha/2,2beta be the roo...

    Text Solution

    |

  6. If alpha,beta,gamma are the roots of the equation x^3+x+1=0, then the ...

    Text Solution

    |

  7. alpha,beta are the roots of the equation (a-2)x^2-(5-a)x-5=0.Find 'a' ...

    Text Solution

    |

  8. If f(x) = g(x)^3+xh(x)^3 is divisible by x^2+x+1, then

    Text Solution

    |

  9. If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal,the...

    Text Solution

    |

  10. If the roots of the equation 6x^3-11x^2+6x-1=0 are in H.P., then the r...

    Text Solution

    |

  11. A value of b for which the equations x^2+bx-1=0, x^2+x+b =0 have one r...

    Text Solution

    |

  12. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

    Text Solution

    |

  13. In what interval 'm' must lie so that the root of the equation x^2-2mx...

    Text Solution

    |

  14. The necessary and sufficient condition for the equation (1-a^2)x^2+2ax...

    Text Solution

    |

  15. For all 'x', x^2+2ax+(10-3a)gt0, then the interval .In which 'a' lies ...

    Text Solution

    |

  16. The maximum value of 2-3x-4x^2

    Text Solution

    |

  17. Number of solution of equation sin^(-1)x+cos^(-1)(x^2)=pi/2

    Text Solution

    |

  18. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has

    Text Solution

    |

  19. Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = sqrt2

    Text Solution

    |

  20. x.[x],{x} are in G.P. then x equals

    Text Solution

    |