Home
Class 12
MATHS
The range of the function f(x) = sin [x]...

The range of the function `f(x) = sin [x], -(x)/(4) lt x lt (x)/(4)` where [x] denotes the greatest integer `le x`, is

A

0

B

(0,-1)

C

`(0, pm sin 1)`

D

` (0,-sin 1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

The rangeof the function y=f(x)=sin[x] , (-pi)/(4)lt x lt (pi)/(4) , where [x] denotes the greatest integer le x, is :

The range of the function f(x)=cos[x] , -pi//4 lt x lt pi//4 , where [x] denotes the greatest integer lex , is :

The function f(x)=[x] , where [x] denotes the greatest than x, is

The range of the function f(x)=x-[x] , where [x] denotes the greatest integer le x, is :

The function f(x) = [x], where [x] denotes the greatest integer not greater than x, is

The range of the function f(x)=[x]-x , where [x] denotes the greatest integer le x is :

lim_(x rarr oo) (log x)/([x]) , where [.] denotes the greatest integer function, is

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Define a relation R on A ={1,2,3,4} as xRy iff x divides y. Then R is ...

    Text Solution

    |

  2. Let R be an equivalence relation defined on a set containing 6 element...

    Text Solution

    |

  3. The range of the function f(x) = sin [x], -(x)/(4) lt x lt (x)/(4) whe...

    Text Solution

    |

  4. The value of alpha(ne0) for which the function f(x)=1+alphax is the in...

    Text Solution

    |

  5. The number of one-one and onto mapping from A to B, where n(A)=6andn(B...

    Text Solution

    |

  6. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  7. If f:RtoS defined by : f(x)=sinx-sqrt(3)cosx+1, is onto, then the inte...

    Text Solution

    |

  8. Let f:(-1,1)toB be a function defined by : f(x)=tan^(-1)""(2x)/(1-x^2)...

    Text Solution

    |

  9. If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...

    Text Solution

    |

  10. For real x, let f(x)=x^(3)+5x+1,, then :

    Text Solution

    |

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

    Text Solution

    |

  12. Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),(0","x=0),(1","x>0):} Then fo...

    Text Solution

    |

  13. Let f(x)=(alphax)/(x+1),xne0, then for what value of alpha is f[f(x)]...

    Text Solution

    |

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

    Text Solution

    |

  15. If f(x) = {(x, if \x \ is \rational),(0,if \ x \ is \ irrational):} ...

    Text Solution

    |

  16. Let, f:(0,1) rarr R be defined by f(x)=(b-x)/(1-b x)where b is a con...

    Text Solution

    |

  17. Which of the following is (A-B) uu(B-A)

    Text Solution

    |

  18. If A and B are any two sets then A nn (A uu B)' =

    Text Solution

    |

  19. Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

    Text Solution

    |

  20. The image of the interval [-1,3] under the mapping f: R rarr R given b...

    Text Solution

    |