Home
Class 12
MATHS
The solution set for [x]{x}=1 (where {x}...

The solution set for `[x]{x}=1` (where {x} and [x] are respectively, fractional part function and greatest integer function) is (a) `R^+-(0,1)` (b) `r^+-{1}` (c) `{m+1/m m in I-{0}}` (d) `{m+1/m m in N-{1}}`

A

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

B

`R^(+)-{1}`

C

`{m+1/m:m in I-{0}}`

D

`{m+1/m:m in N-{1}}`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

The area between the curve 2{y} =[x] +1,0 leq y lt 1 , where {.} and [.] are the fractional part and greatest integer functions, respectively and the X-axis is

Find the number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10x + 11}] is(where, {x} denotes fractional part of x and [x] denotes greatest integer function) (a)0 (b)1 (c)2 (d)3

Solve 1/([x])+1/([2x])= {x}+1/3 where [.] denotes the greatest integers function and{.} denotes fractional part function.

Integrate the function 1/(x(logx)^m), x > 0, m ne 1

Complete solution set of (cot^(-1)x)+2(tan^(-1)x)=0, where [] denotes the greatest integer function, is equal to

The value of int_(0)^(100)[ tan ^(-1)x] d x is equal to (where [.] denotes the greatest integer function)

The integral int_(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (where [.] represents the greatest integer function)

lim_(xto0)[m(sinx)/x] is equal to (where m epsilon I and [.] denotes greatest integer function) a. m if mlt0 b. m-1 if mgt0 c. m-1 , if mlt0 d. m if mgt0

Find number of solutions for equation [sin^(-1)x]=x-[x] , where [.] denotes the greatest integer function.

f(x)= cosec^(-1)[1+sin^(2)x] , where [*] denotes the greatest integer function. then range of f(x) is

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. The period of the function f(x)=Sin(x +3-[x+3]) where [] denotes the g...

    Text Solution

    |

  2. Which one of the following function best represents the graphs as show...

    Text Solution

    |

  3. The solution set for [x]{x}=1 (where {x} and [x] are respectively, fra...

    Text Solution

    |

  4. The domain of definition of function f(x)=log(sqrt(x^(2)-5x-24)-x-2)...

    Text Solution

    |

  5. If f(x) is a function f:R-> R, we say f(x) has property I. If f(f(x)) ...

    Text Solution

    |

  6. Let f(x)=x/(1+x) and let g(x)=(rx)/(1-x) , Let S be the set off all re...

    Text Solution

    |

  7. Let f be a linear function with properties f(1)lef(2),f(3)gef(4)and ...

    Text Solution

    |

  8. Suppose R is relation whose graph is symmetric to both X-axis and Y-ax...

    Text Solution

    |

  9. The area between the curve 2{y} =[x] +1,0 leq y lt 1, where {.} and [....

    Text Solution

    |

  10. If f(x)=sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(...

    Text Solution

    |

  11. Find the number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10...

    Text Solution

    |

  12. Total number of values of x, of the form 1/n, n in N in the interval ...

    Text Solution

    |

  13. The sum of the maximum and minimum values of the function f(x)=1/(1+(2...

    Text Solution

    |

  14. Let f : X rarr Y be an invertible function. Show that the inverse of ...

    Text Solution

    |

  15. The range of values of a so that all the roots of the equations 2x^(3)...

    Text Solution

    |

  16. If f(x) is continuous such that abs(f(x)) le 1, forall x in R " and " ...

    Text Solution

    |

  17. Let f(x)=sqrt(|x|-{x})(w h e r e{ } denotes the fractional part of (x)...

    Text Solution

    |

  18. If the graphs of the functionsy= log (e)x and y = ax intersect at exac...

    Text Solution

    |

  19. A quadratic polynomial maps from [-2,3] onto [0,3] and touches X-axis ...

    Text Solution

    |

  20. The range of the function y=sqrt(2{x}-{x}^2-3/4) (where, denotes the f...

    Text Solution

    |