Home
Class 12
MATHS
The range of f(x) =sin(sin^(-1){x}). whe...

The range of `f(x) =sin(sin^(-1){x})`. where { ·} denotes the fractional part of x, is

A

[0,1)

B

[0,1]

C

(-1,1)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level-II|20 Videos

  • FUNCTION

    FIITJEE|Exercise COMPREHENSIONS|8 Videos

  • FUNCTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level-II|17 Videos

  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos

Similar Questions

Explore conceptually related problems

Period of the function f(x)=sin(sin(pix))+e^({3x}) , where {.} denotes the fractional part of x is

f(x)=sqrt((x-1)/(x-2{x})) , where {*} denotes the fractional part.

The value of lim_(xto0)sin^(-1){x} (where {.} denotes fractional part of x) is

The value of lim_(x rarr0)sin^(-1){x}( where {*} denotes fractional part of x ) is

Range of f(x)=sin^(-1)x*sin x

The domain of f(x)=(1)/(sqrt(-x^(2)+{x})) (where {.} denotes fractional part of x) is

The domain of f(x)=sqrt(2{x}^(2)-3{x}+1) where {.} denotes the fractional part in [-1,1]

If f(x) = e^(x) , then lim_(xto0) (f(x))^((1)/({f(x)})) (where { } denotes the fractional part of x) is equal to -

The domain of f(x)=log_(e)(1-{x}); (where {.} denotes fractional part of x ) is

FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
  1. If f is a function such that f(0)=2,f(1)=3,a n df(x+2)=2f(x)-f(x+1) fo...

    Text Solution

    |

  2. function f(x) =sin^(-1)(x-x^2)+sqrt(1-1/|x|+1/[x^2-1]) is defined in t...

    Text Solution

    |

  3. The range of f(x) =sin(sin^(-1){x}). where { ·} denotes the fractional...

    Text Solution

    |

  4. Range of f(x)=cos^(- 1)x+2sin^(- 1)x+3tan^(- 1)x is

    Text Solution

    |

  5. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

    Text Solution

    |

  6. If f(x)={x, when x is rational, 1-x, when x is irrational , then

    Text Solution

    |

  7. If f:Rto(1,10), where f(x)=(x^(2)+1-alpha)/(x^(2)+2) is an onto functi...

    Text Solution

    |

  8. If f(x)=cos |x| + [|(sinx)/2|], (where [.] denotes the greatest intege...

    Text Solution

    |

  9. The range of function f(x) = sqrt(.^(x^2+4x)C(2x^2+3)) is

    Text Solution

    |

  10. The curve y = f(x) is symmetric about the lines (10^(4)- 1)x + 2(10^(4...

    Text Solution

    |

  11. If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distin...

    Text Solution

    |

  12. lf domain of f(x) is [-1, 2] then domain of f([x]-x^2+4) where [.] den...

    Text Solution

    |

  13. Period of the function f(x) = [5x + 7] + cospix - 5x where [·] denotes...

    Text Solution

    |

  14. The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in ...

    Text Solution

    |

  15. Let Sn=sum(r+1)^(n)r ! (n>6), then Sn-7[(Sn)/7] (where [.] denotes the...

    Text Solution

    |

  16. Period of the function f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]} is...

    Text Solution

    |

  17. The graph of y = f(x} is shown, then the number of solutions of f(f(x}...

    Text Solution

    |

  18. If f(x) = sin^(-1)(m^(2) -3m+ 1)sec (absx)/3-[e^(m-4)](sin{x}), where ...

    Text Solution

    |

  19. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

    Text Solution

    |

  20. If f(x)=abs(x-1)+abs(x-4)+abs(x-9)+…+abs(x-2500)AA x inR, where m and ...

    Text Solution

    |