Home
Class 12
MATHS
The domain of the function f(x)=(sec^(-1...

The domain of the function` f(x)=(sec^(-1)x)/(sqrt(x-[x]))` , where [x] denotes the greatest integers less than or equal to x is defined for all x belonging to

A

R

B

`R-{(-1,1) cup (n | n in z}}`

C

`R^(+)- (0,1)`

D

`R^(+) -{n | n in N}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise Level -2 (Numerical Value Type for JEE Main)|14 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|13 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise Level -1|71 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x)=(1)/(sqrt((x)-[x])) where [*] denotes the greatest integer function is

The domain of the function f(x) = sqrt((4-x^(2))/([x]+2)) where [x] denotes the greatest integer less than or equal to x,is

The domain of the function f(x)=cos^(-1)[secx] , where [x] denotes the greatest integer less than or equal to x, is

The function f(x)=(tan |pi[x-pi]|)/(1+[x]^(2)) , where [x] denotes the greatest integer less than or equal to x, is

The domain of the function f(x)=1/(sqrt([x]^2-2[x]-8)) is, where [*] denotes greatest integer function

The function f(x)=(sec^(-1)x)/(sqrt(x-[x]), where [x] denotes the greatest integer less than or equal to x , is defined for all x in (a) R (b) R-{(-1,1)uu{n"|"n in Z}} (c) R-(0,1) (d) R-{n|n in N}

If f(x)=|x-1|-[x] , where [x] is the greatest integer less than or equal to x, then

Find the domain of the function f(x)=log_(e)(x-[x]) , where [.] denotes the greatest integer function.

lim_(xrarr oo) (log[x])/(x) , where [x] denotes the greatest integer less than or equal to x, is

Let f(x)=[x]+[-x] , where [x] denotes the greastest integer less than or equal to x . Then, for any integer m

VMC MODULES ENGLISH-FUNCTIONS-Level -2
  1. Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer ...

    Text Solution

    |

  2. If T(1) is the period of the function f(x)=e^(3x-[x]) and T(2) is the ...

    Text Solution

    |

  3. If f(x)=(4^(x))/(4^(x)+2)," then "f(1/(97))+f((2)/(97))+...+f((96)/(97...

    Text Solution

    |

  4. Domain of the function f(x) = log(sqrt(x-4)+sqrt(6-x))

    Text Solution

    |

  5. If logax=alphalogbx,beta,logc x=gamma and logd x=delta ,xne1 and a,b,...

    Text Solution

    |

  6. If f(x) = log ((1+x)/(1-x)), where -1 lt x lt 1 then f((3x+x^(3))/(1+3...

    Text Solution

    |

  7. Find the period of the real-valued function satisfying f(x)+f(x+4)=f(x...

    Text Solution

    |

  8. If f: R->(-1,\ 1) is defined by f(x)=(-x|x|)/(1+x^2) , then f^(-1)(x) ...

    Text Solution

    |

  9. Solve 4log(x//2)(sqrt(x))+ 2 log(4x)(x^(2)) = 3log(2x)(x^(3)).

    Text Solution

    |

  10. The domain of function f (x) = log ([x+(1)/(2)])(2x ^(2) + x-1), whe...

    Text Solution

    |

  11. Find the range of y=|x-5|/(x-5)

    Text Solution

    |

  12. The function f(x)=sqrt(cos(sinx))+sin^-1((1+x^2)/(2x)) is defined for ...

    Text Solution

    |

  13. Draw the graph for y=({x}-1)^(2).

    Text Solution

    |

  14. The domain of the function f(x)=(sec^(-1)x)/(sqrt(x-[x])) , where [x] ...

    Text Solution

    |

  15. The domain of definition of the function f(x)=log(2)[-(log(2)x)^(2)+5...

    Text Solution

    |

  16. The function f(x) = sec[log(x + sqrt(1+x^2))] is

    Text Solution

    |

  17. Let f(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k, then

    Text Solution

    |

  18. Let f be a real valued function such that for any real x f(15+x)=f(15-...

    Text Solution

    |

  19. The value of int(-20pi)^(20 pi) |sin x| [ sin x] dx is (where [.] de...

    Text Solution

    |

  20. Statement 1 : Let f : r-{3} be a function given by , f(x+10)=(f(x)-5)...

    Text Solution

    |