Home
Class 12
MATHS
If [x] denotes the greatest integer le x...

If [x] denotes the greatest integer `le` x and `f(x)=(1)/([x])+sqrt((2-x)x)`, then domain of f is :

A

(1,2]

B

[1,2]

C

[0,2]

D

[0,1]

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

If [x] represents the greatest integer function and f(x)=x-[x]-cos x" then "f^(1)(pi/2)=

If [x] represents the greatest integer function and f(x) = x - [x] - cos x, then f’((pi)/2) =

If f(x)=(a-x)/(a+x) , the domain of f^(-1)(x) contains

For a real number x, let [x] denote the greatest integer less than or equal to x. Then f(x)=(tan(pi[x-pi]))/(1+[x]^(2)) is :

If ainR and the equation -3(x-[x])^(2)+2(x-[x])+a^(2)=0 , (where [x] denotes the greatest integer le x) has no integral solution, then all possible values of a lie in the interval :

If f(x) = (x-4)/(2sqrt(x)) , then f^(')(1) is

The domain of f(x)=cot^(-1)""(x)/(sqrt(x^(2)-[x^2])),x inR is :

If [x] denotes the greatest integer function, then : ""_(2)^(4)([x] - 1)([x] -2)([x] - 3)([x] - 4)dx =

If [x] denote the greatest integer function , then , int_(0)^(pi//6) (1 - cos 2x)/(1 + cos 2x) d(x - [x]) =

MODERN PUBLICATION-FUNCTIONS-MULTIPLE CHOICE QUESTIONS (LEVEL -II)
  1. The domain of the function : y=f(x)=(1)/(log(10)(1-x))+sqrt(x+2) is :

    Text Solution

    |

  2. The domain of the function : f(x)=log(2)[log(3)[log(4)x]] is :

    Text Solution

    |

  3. If [x] denotes the greatest integer le x and f(x)=(1)/([x])+sqrt((2-x)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |