Home
Class 11
MATHS
The domain of definition of f(x)=sqrt((1...

The domain of definition of `f(x)=sqrt((1-|x|)/(2-|x|))` is

A

`(-oo, -1) uu (2,oo)`

B

`[-1,1] uu (2, oo) uu (-oo , -2)`

C

`(-oo, 1) uu (2,oo)`

D

` [-1, 1] uu (2,oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos
  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

Domain of :f(x)=sqrt((1-|x|)/(2-|x|))

The domain of definition of f(x)=sqrt((x+3)/((2-x)(x-5))) is

The domain of definition of f(x) = sqrt(sec^(-1){(1-|x|)/(2)}) is

The domain of definition of f(x)=sqrt((log_(0.3)|x-2|)/(|x|)) , is

The domain of definition of f(x)= sin^(-1)sqrt(x-1)

Find the domain of f(x)=sqrt((1-|x|)/(2-|x|)) , is

The domain of definition of f(x)=sin^(-1)(|x-1|-2) is

the domain of the f(x)=sqrt((1-|x|)/(2-|x|))

find the domain of f(x)=sqrt((1-|x|)/(|x|-2))

The domain of definition of f(x)=cos^(-1)(x+[x]) is

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. The domain of the function y = f (x)=(1)/(log (10) (1-x))+sqrt(x +2) i...

    Text Solution

    |

  2. The domain of f(x)=log|logx| is

    Text Solution

    |

  3. The domain of definition of f(x)=sqrt((1-|x|)/(2-|x|)) is

    Text Solution

    |

  4. The domain of the function f(x)=sqrt(log(1/(|sinx|))) R-{-pi,pi} (b)...

    Text Solution

    |

  5. The domain of the function f(x)=(log)(3+x)(x^2-1) is (-3,-1)uu(1,oo) ...

    Text Solution

    |

  6. The domain of the function f(x) = ( sqrt(5x - 3 - 2x^(2))) is

    Text Solution

    |

  7. The domain of the function f (x) =sin ^(-1) (x-3)/sqrt(x - x ^(3)) is

    Text Solution

    |

  8. Domain of the function f(x)=sin^(- 1)(1+3x+2x^2)

    Text Solution

    |

  9. The domain of the function f(x)=sqrt(cos^(- 1)((1-|x|)/2)) is

    Text Solution

    |

  10. The domain of the function cos^-1 {log2 (x^2+5x+8)} is

    Text Solution

    |

  11. The range of the function f (x) = sqrt(x - x ^(2)) is

    Text Solution

    |

  12. The range of the functin f (x) = (x+2)/(|x+2|) is

    Text Solution

    |

  13. Find the range of f(x)=(x^2+34 x-71)/(x^3+2x-7)

    Text Solution

    |

  14. IF f :R -{2} to R is a function defined by f(x) =(x^(2)-4)/(...

    Text Solution

    |

  15. Let f:R to R be defined as f (x) =( 9x ^(2) -x +4)/( x ^(2) x+4). The...

    Text Solution

    |

  16. The range of f(x) = cos x - sin x is

    Text Solution

    |

  17. Equation cos 2x+7=a(2-sin x) can have a real solution for

    Text Solution

    |

  18. The range of the function f(x)=log(e)(3x^(2)+4) is equal to

    Text Solution

    |

  19. The range of function f (x) = log (e) sqrt(4- x ^(2)) is given by

    Text Solution

    |

  20. If f:[0,pi/2)->R is defined as f(theta)=|(1,tantheta,1),(-tantheta,1,...

    Text Solution

    |