Home
Class 12
MATHS
The domain of the function f(x)=sqrt(x-s...

The domain of the function `f(x)=sqrt(x-sqrt(1-x^(2)))` is :

A

[-1,1]

B

`[(1)/(sqrt2),1]`

C

`[-1,-(1)/(sqrt2)]uu[(1)/(sqrt2),1]`

D

`(-oo,-(1)/(2))uu[(1)/(sqrt2),+oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    MODERN PUBLICATION|Exercise LATEST QUESTION FOR AIEEE/JEE EXAMINATIONS|4 Videos

  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos

  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos

  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x)=sqrt(1-sqrt(1-sqrt(1-x^2))) is :

The domain of the function f(x)=sqrt(cos x) is

The domain of the function f(x)=sqrt(2-2x-x^2) is

The domain of the function y=sqrt(x-2)+sqrt(1-x) is

The domain of the function f(x)=sqrt((1-|x|)/(2-|x|)) is :

The domain of the function f(x)=sqrt(cosx) is :

The domain of the function : f(x)=log(1-x)+sqrt(x^(2)-1) is :

The domain of the function f(x) = cot 5x is

The domain of the function f(x) = tan 3x is

The domain of the function f(x) = sqrt[(x-7)/(9-x)] is

MODERN PUBLICATION-FUNCTIONS-MULTIPLE CHOICE QUESTIONS (LEVEL -II)
  1. If [x] denotes the greatest integer le x and f(x)=(1)/([x])+sqrt((2-x)...

    Text Solution

    |

  2. The domain of the function f(x)=sqrt(1-sqrt(1-sqrt(1-x^2))) is :

    Text Solution

    |

  3. The domain of the function f(x)=sqrt(x-sqrt(1-x^(2))) is :

    Text Solution

    |

  4. The domain of the function : f(x)=log(10)log(10)(1+x^2) is :

    Text Solution

    |

  5. Given f(x):(1)/(sqrt(|x|-x))andg(x)=(1)/(sqrt(x-|x|)), then :

    Text Solution

    |

  6. The function f and g are given by : f(x)=(x), the fractional part of x...

    Text Solution

    |

  7. Let f(x)=sinsqrt(p)x, where p=[a]=greatest integer less than or equal...

    Text Solution

    |

  8. Let f:RtoR be defined by f(x)=x^(2)+1, then the value of f^(-1)(17)and...

    Text Solution

    |

  9. Let x be any real number, then [x+y]=[x]+[y] holds for :

    Text Solution

    |

  10. log(2)(log(3)(log(2)x))=1, then the value of x is :

    Text Solution

    |

  11. Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is...

    Text Solution

    |

  12. Let f(x)=(sqrt(sinx))/(1+root(3)(sinx)). If D is the domain of f, then...

    Text Solution

    |

  13. The domain of the definition of the function y(x) given by the equatio...

    Text Solution

    |

  14. Let X={1,2,3,4}, then one-one onto mappings f:XtoX such that f(1)=1,f(...

    Text Solution

    |

  15. The domain of definition of f(x)=(log(2)(x+3))/(x^(2)+3x+2) is :

    Text Solution

    |

  16. The domain of sin^(-1)[log(3)((x)/(3))] is :

    Text Solution

    |

  17. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  18. A function f from the set of natural numbers to integers defined by : ...

    Text Solution

    |

  19. Domain of definition of the function : f(x)=(3)/(4-x^2)+log(10)(x^(3)-...

    Text Solution

    |

  20. If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7, then sum...

    Text Solution

    |