Home
Class 12
MATHS
If (x^(2)-|x|-2)/(2|x|-x^(2)-2) ge 2, th...

If `(x^(2)-|x|-2)/(2|x|-x^(2)-2) ge 2`, then

A

1: `x in(-1,1)`

B

2: `x in(-(2)/(3), (2)/(3))`

C

3:`(-1,-(2)/(3)) uu((2)/(3), 1)`

D

4: `(-oo,-(2)/(3)) uu((2)/(3), oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If (|x - 2|)/(x - 2) ge 0, then

If x^(2)-3 x+2 ge 0 and x^(2)-3 x-4 le 0 then

If f(x)=(2^(x)-2^(-x))/(2^(x)+2^(-x)),"then"f^(-1)(x) is :

If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))/((x^(2)+3)) , then int_(-2)^(2)g(x)dx=

lim_(x rarr oo) (2x^(2)-x-1)/(x^(2)+x-2) =

If x^(2) + 2x - 3 ge 0 and x^(2) - 2x - 3 ge 0 , then :

If f(x) = {(x-5,x le1),(4x^(2)-9, 1ltxlt2),(3x+4, x ge2):} then f^(')(2^(+)) =

Solve (4x)/(x^(2) +3)ge 1.

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. The least value of (6 x^(2)-18 x+21)/(6 x^(2)-18 x+17) is

    Text Solution

    |

  2. If x^(2)-3 x+2 ge 0 and x^(2)-3 x-4 le 0 then

    Text Solution

    |

  3. If (x^(2)-|x|-2)/(2|x|-x^(2)-2) ge 2, then

    Text Solution

    |

  4. The function (x^(2)+2 x+c)/(x^(2)+4 x+3 c) assumes all real values onl...

    Text Solution

    |

  5. The least value of (x+2)/(2 x^(2)+3 x+6) is

    Text Solution

    |

  6. If a+b+c=0, then the equation 3ax^(2)+2bx+c=0 has :

    Text Solution

    |

  7. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

    Text Solution

    |

  8. Let a, b,c in R and a ne 0. If alpha is a root of a^(2) x^(2) + bx + c...

    Text Solution

    |

  9. If alpha and beta the roots of x^(2) + px + q = 0 and alpha^(4), beta...

    Text Solution

    |

  10. The set of values of p for which the roots of the equation 3 x^(2)+2 x...

    Text Solution

    |

  11. Let alpha and beta be the roots of the equation x^(2)+x+1=0 . The equa...

    Text Solution

    |

  12. If p,q,r are in A.P. and are positive, the roots of the quadratic equa...

    Text Solution

    |

  13. The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is

    Text Solution

    |

  14. In a triangle PQR, /R = pi//2, If tan(P//2). and tan(Q//2) are the roo...

    Text Solution

    |

  15. If the roots of the equation x^(2) - 2ax + a^(2) + a - 3 = 0 are real ...

    Text Solution

    |

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

    Text Solution

    |

  17. For the equation 3 x^(2)+p x+3=0, p gt 0, if one root is square of the...

    Text Solution

    |

  18. If x^(2)+(a-b) x+(1-a-b)=0, a, b in R has unequal roots for all values...

    Text Solution

    |

  19. If one root of the equation x^(2) + px + q = 0 is square of the other...

    Text Solution

    |

  20. If x^(2)+2 a x+(10-3 a) gt 0 for all x, then

    Text Solution

    |