Home
Class 12
MATHS
The set of all real numbers x for which ...

The set of all real numbers x for which `x^2-|x+2| +x gt 0` is

A

`(-oo,-2)uu(2, oo)`

B

`(-oo, -sqrt(2))uu(sqrt(2),oo)`

C

`(-oo,-1)uu(1,oo)`

D

`(sqrt(2),oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level - II|20 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise COMPREHENSIONS - I|3 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level - II|28 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Exercise 3|8 Videos

Similar Questions

Explore conceptually related problems

The set of all real numbers x for which x^(2)-|x+2|+x>0 is

The set of values of x for which x^(2)-|x+2|+x>0 is

The set of all real numbers x satisfying x^(2)-|x+2|+x>0 is

If S is the set of all real numbers x for which >0(2x-1)/(2x^(3)+3x^(2)+x) and P is the subset of S ,

If denote the set of all real x for which (x^(2)+x+1)^(x) lt 1 , then S =

Let f(x)=sqrt(log_(10)x^(2)) then the set of all values of x for which f(x) is real is

Let f(x) = sqrt(log_(10)x^(2)) .Find the set of all values of x for which f (x) is real.

The set of all real values of x for which the funciton f(x) = sqrt(sin x + cos x )+sqrt(7x -x^(2) - 6) takes real values is

FIITJEE-QUADRATIC EQUATION & EXPRESSION -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I
  1. The number of real solutions of the equation sin (e^x)= 5^x+5^-x

    Text Solution

    |

  2. The equation (x-3)^9+(x-3^2)^9+(x-3^3)^9+.....+(x-3^9)^9=0 has

    Text Solution

    |

  3. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

    Text Solution

    |

  4. The exhaustive set of values of a for which the equation a sin(x+(pi)/...

    Text Solution

    |

  5. If the roots of the equation (a)/(x+a+k)+(b)/(x+b+k)=2 are equal in ma...

    Text Solution

    |

  6. The set of all x in the interval [0, pi] for which 2 sin^(2)x-3 sin x ...

    Text Solution

    |

  7. Let a gt 0, b gt 0 then both roots of the equation ax^(2)+bx+c=0

    Text Solution

    |

  8. The number of positive integral solutions of x^4-y^4=3789108 is 0 b. 1...

    Text Solution

    |

  9. The set of values for which x^(3)+1 ge x^(2)+x is

    Text Solution

    |

  10. If a ,b ,c are distinct positive numbers, then the nature of roots of ...

    Text Solution

    |

  11. If roots of the equation x^2-2ax+a^2+a-3=0 are real and less than 3 t...

    Text Solution

    |

  12. If a(1), a(2), a(3)(a(1)gt 0) are in G.P. with common ratio r, then th...

    Text Solution

    |

  13. Let p(x)=0 be a polynomial equation of the least possible degree, with...

    Text Solution

    |

  14. If alpha and beta are the roots of x^(2)-3px+p^(2)=0 such that alpha^(...

    Text Solution

    |

  15. The number of solutions of the equation n^(-|x|)|m-|x||=1 (where m, n ...

    Text Solution

    |

  16. If (m^2-3)x^2+3mx+ 3m+1=0 has roots which are reciprocals of each othe...

    Text Solution

    |

  17. If the two equation x^(2)-cx+d=0 and x^(2)-ax+b=0 have one common root...

    Text Solution

    |

  18. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

    Text Solution

    |

  19. If one of the roots of the equation 2x^(2)-6x+k=0 is (alpha + 5i)/(2) ...

    Text Solution

    |

  20. For all 'x', x^(2)+2ax+10-3a gt 0, Statement 1 : the interval in wh...

    Text Solution

    |