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

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (2) (true and false)|1 Videos

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (2) (fill in the blanks)|14 Videos

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (1) (Fill in the blanks)|9 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2) ASSERTION/REASON|3 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

Let f(x)= (2x)/(2x^2+5x+2) and g(x)=1/(x+1) . Find the set of real values of x for which f(x) gt g(x) .

ML KHANNA-LOGARITHMS AND SURDS-Problem Set (2) (Multiple choice questions)
  1. The equation (x^(2))/(|x-2|)=|(2x)/(x-2)|+|x| has solutions whose numb...

    Text Solution

    |

  2. The roots of the equation |x^(2)-x-6|=x+2 are

    Text Solution

    |

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

    Text Solution

    |

  4. The number of real roots of the equation |x|^(2) -3|x| + 2 = 0, is

    Text Solution

    |

  5. The sum of the roots of equation (x-4)^(2)-8|x-4|+15=0 is

    Text Solution

    |

  6. Root(s) of the equatio 9x^(2) - 18|x|+5 = 0 belonging to the domain of...

    Text Solution

    |

  7. The equation |x-x^(2)-1|=|2x-3-x^(2)| has

    Text Solution

    |

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

    Text Solution

    |

  9. The product of real roots of the equation |3x-4|^(2)-3|3x-4|+2=0 is

    Text Solution

    |

  10. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has a. no solution b. o...

    Text Solution

    |

  11. The number of the integer solutions of x^(2)+9lt(x+3)^(2)lt8x+25 is

    Text Solution

    |

  12. The solution set of the inequality log(x)((x+3)/(1-2x))gt1 is

    Text Solution

    |

  13. The least positive integer x satisfying |x+1|+|x-4|gt7 is

    Text Solution

    |

  14. Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

    Text Solution

    |

  15. The number of values of x satisfying 1+log(5)(x^(2)+1)gelog(5)(x^(2)+4...

    Text Solution

    |

  16. The number of solutions the equation |x+1|^(log(x+1)(3+2x-x^(2)))=(x-3...

    Text Solution

    |

  17. If log(5)(6+(2)/(x))+log((1//5))(1+(x)/(10))le1, then x lies in

    Text Solution

    |

  18. The quadratic equations Sigma ((x-q)(x-r))/((p-q)(p-r))-1=0 or Sigma (...

    Text Solution

    |

  19. The number of solutions of the equation root3((1+x))+root3((8-x))=3 i...

    Text Solution

    |

  20. The number of solutions of the equation 2^(x)+2^(x-1)+2^(x-2)=5^(x)+5^...

    Text Solution

    |