Home
Class 12
MATHS
If -3lt(x^(2)-lambdax-2)/(x^(2)+x+1)lt2 ...

If `-3lt(x^(2)-lambdax-2)/(x^(2)+x+1)lt2` for all `x inR`, then the value of `lambda` belongs to

A

`(-1, 7)`

B

`(-6, 2)`

C

`(-1, 2)`

D

`(-6, 7)`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTA JEE MOCK TEST 45

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 47

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If (y^(2)-6y+3)(x^(2)+x+1)lt2x AA x in R, then sum of all integral values of y is

If tan^(2) x + 1/(tan^(2)x) =2 and 0^(@) lt x lt 90^(@) , then what is the value of x ?

Knowledge Check

  • If ( lambda^(2) + lambda - 2)x^(2)+(lambda+2)x lt 1 for all x in R , then lambda belongs to the interval :

    A
    (-2,1)
    B
    `(-2,(2)/5)`
    C
    `(2/5,1)`
    D
    None of these

  • If 9^(x+1) + (a^(2)-4a-2) 3^(x) + 1 lt 0 "for all" x in R, then

    A
    `a in R`
    B
    `a in R^(+)`
    C
    `a in [1, oo)`
    D
    `a in R -(2)`

  • If |(x^(2)+mx+1)/(x^(2)+x+1)|lt3 for all real x, then

    A
    `m lt -1`
    B
    `-1 lt m lt 6`
    C
    `-1 lt m lt 5`
    D
    `m gt 6`

    • Similar Questions

    Explore conceptually related problems

    If 4 (x + 1) - 3 lt 3-x lt 2x +5, then the value of x is

    If s (5x -4) - 2 lt 2x -1 lt 4x - 2, then the value of x is

    If x +5 (x -2) lt 4 - x lt 4x - 1, then the value of x is

    If 3x - 2 ( 4- 3x) lt 2x - 5 lt 3x + 3, then the value of x is.

    If 2x + 4 ( x-3) lt - 2 - x lt 2x -1, then find the value of x.

    Home
    Profile