Home
Class 11
MATHS
If f(x)=|x|-{x} where {x} denotes the fr...

If `f(x)=|x|-{x}` where {x} denotes the fractional part of x , then f(x) is dreasing in

A

`(-(1)/(2),0)`

B

`(-(1)/(2),2)`

C

`(-(1)/(2),2)`

D

`((1)/(2),oo)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II)(INTEGER TYPE QUESTIONS)|4 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(50)e^({x})dx where {x} denotes the fractional part of x

Evaluate the following integrals int_(0)^(50)e^({x})dx where {x} denotes the fractional part of x

The total number of solutions of sin[x]=cos{x} (where {.} denotes the fractional part) in [0,2pi] is equal

If f(x)=cos x + {x} where {.} is fractional part function then the period of f(x) is

The period of function 2^({x})+sin pi x + 3^({x//2})+ cos 2 pi x ( where {x} denote the fractional part of x) is

f(x)= sin alpha + cos alpha -1 , where alpha= sin^(-1) sqrt({x}), {.} is the fractional part of x, then f(x) is

AAKASH SERIES-MAXIMA AND MINIMA -ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN)) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. There are 50 apple trees in an orchard Each tree produces 800 apples ....

    Text Solution

    |

  2. Let f:RtoR be a differentiable function AAxinR . If the tangent drawn ...

    Text Solution

    |

  3. If f(x)=|x|-{x} where {x} denotes the fractional part of x , then f(x)...

    Text Solution

    |

  4. Function f(x)=|x|-|x-1| is monotonically increasing when

    Text Solution

    |

  5. If f(x)=x+sinx,g(x)=e^(-x),u=sqrt(x+1)-sqrt(c )v=sqrt(c )-sqrt(c-1)(cg...

    Text Solution

    |

  6. f(x)=|xlog(e )x|monotonically decreases in

    Text Solution

    |

  7. Given that f(x)gtg(x) for all real x, and f(0)=g(0). Then f(x)ltg(x)...

    Text Solution

    |

  8. Let f(x) be a function defined as follows : f(x)=sin(x^(2)-3x),xle0,an...

    Text Solution

    |

  9. The number of real roots of the equation e^(x-1)+x-2=0 is

    Text Solution

    |

  10. The greatest value of the function f(x)=(sin2x)/(sin(x+(pi)/(4))) on t...

    Text Solution

    |

  11. A function f is defined by f(x)=|x|^(m)|x-1|^(n)AAx inR . The local ma...

    Text Solution

    |

  12. Let the function f (x) be defined as follows : f(x)={{:(x^(3)+x^(2)-10...

    Text Solution

    |

  13. A differentiable function f(x) has a relative minimum at x=0 Then the ...

    Text Solution

    |

  14. The largest term in the sequence a(n)=(n^(2))/(n^(3)+200) is given by

    Text Solution

    |

  15. The number of values of k for which the equation x^(3)-3x+k=0 has two ...

    Text Solution

    |

  16. Conisider the function f(x) =x cosx-sinx . Then identify the statement...

    Text Solution

    |

  17. The fuel charges for running a train are proportional to the square of...

    Text Solution

    |

  18. Find all possible 'b' for which f(x)=sin2x-8(b+2)cosx-(4b^(2)+16b+6)x ...

    Text Solution

    |

  19. f(x)={{:(2-|x^(2)+5x+6|",",xne-2),(a^(2)+1,x=-2):} Then the range of a...

    Text Solution

    |

  20. If non-zer real numbers b and c are such that min f(x) gt max (g)x, wh...

    Text Solution

    |