Home
Class 12
MATHS
Range of the function f defined by f(x...

Range of the function f defined by
`f(x) =[(1)/(sin{x})]` (where `[.]` and `{x}` denotes
greatest integer and fractional part of x respectively) is

A

I,the set of integers

B

N,the set of natural number

C

W, the set of whole number

D

`{2,3,4,…..}`

Text Solution

Verified by Experts

The correct Answer is:
B

`{x} ne 0,0ltsin{x}lt sin1`
`implies[(1)/(sin{x})]in N`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Range of the function f: R rarr R, f(x)= x^(2) is………

Domain of the function defined by f(x)= sqrt(4x-x^(2)) is……

Find the range and domain of the function defined by f(x)= (1)/(2- sin 3x)

Discuss the continuity of the function f defined by f(x)= (1)/(x), x ne 0

The domain of the function defined by f(x)=sin^(-1)(sqrt(x-1)) is _____

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R .

Find the range of the given function defined as f (x)= (x-[x])/(1+ x-[x])

Range of the function f(x)= (x+2)/(|x+2|), x ne -2 is……

ALLEN -TEST PAPERS-part-2 Mathematics
  1. Volume of tetrahedron formed by the planes x+y=0, y+z=0, z+x=0,x+y+z-1...

    Text Solution

    |

  2. If f' ((x)/(y)). f((y)/(x))=(x^(2)+y^(2))/(xy) AA x,y in R^(+) and f(1...

    Text Solution

    |

  3. Range of the function f defined by f(x) =[(1)/(sin{x})] (where [.] a...

    Text Solution

    |

  4. The value of sqrt(3) cot 20^(@) -4cos20^(@) is

    Text Solution

    |

  5. Which of the following function is surjective but not injective?

    Text Solution

    |

  6. f:RrarrR is a function satisfying f(x+5)gef(x)+5 and f(x+1)lef(x)+1. ...

    Text Solution

    |

  7. If f(x)=((1-tanx)/(1+sinx))^(cosec x) is to be made continuous at x=0,...

    Text Solution

    |

  8. If a(1) is the greatest value of f(x) , where f(x) =((1)/(2+[sinx])) (...

    Text Solution

    |

  9. The value of f(0), so that the function f(x)=((27-2x)^(1/3)-3)/(9-3(...

    Text Solution

    |

  10. Let f:NrarrN be a function such x-f(x)=19[(x)/(19)]-90[(f(x))/(90)],AA...

    Text Solution

    |

  11. Range of sin^(-1)((x^(2)+1)/(x^(2)+2)) is

    Text Solution

    |

  12. Let f:[-(pi)/(3),(2pi)/(3)]rarr[0,4] be a function defined as f(x) = ...

    Text Solution

    |

  13. If vec(alpha), vec(beta),vec(gamma) are three non-collinear unit vecto...

    Text Solution

    |

  14. If the angle between the vectors vec(a)=hat(i)+(cos x)hat(j)+hat(k) a...

    Text Solution

    |

  15. Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b...

    Text Solution

    |

  16. If a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes eq...

    Text Solution

    |

  17. The vertices of the hyperbola 9x^(2)-16y^(2)-36x+96y-252=0 are

    Text Solution

    |

  18. If P N is the perpendicular from a point on a rectangular hyperbola x ...

    Text Solution

    |

  19. If the range of y=sin^(-1)x+cos^(-1)x+tan^(-1) x is [k,K], then

    Text Solution

    |

  20. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, then

    Text Solution

    |