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, +- sin1]`

D

`[0, -sin1]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2012

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2014

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 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

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2013-Mathematics
  1. The general solution of the differential equation sqrt(1-x^(2)y^(2)).d...

    Text Solution

    |

  2. If 'm' and 'n' are the order and degree of the differential equation (...

    Text Solution

    |

  3. If ((x+1)^(2))/(x^(3) +x) = (A)/(x) + (Bx +C)/(x^(2) +1) , then sin...

    Text Solution

    |

  4. The sum of the series, (1)/(2.3) .2 + (2)/(3.4).2^(2) + (3)/(4.5).2^(3...

    Text Solution

    |

  5. If the roots of the equation x^(3) + ax^(2) + bx + c = 0 are in A.P., ...

    Text Solution

    |

  6. If the value of C(0) + 2C(1) + 3C(2) + ……. + (n+1) C(n) =576 then n i...

    Text Solution

    |

  7. The inverse of the proposition (p ^^ ~q) rarr r is

    Text Solution

    |

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

    Text Solution

    |

  9. If the line 6x-7y +8+ lamda (3x-y+5) =0 is parallel to y-axis, then la...

    Text Solution

    |

  10. The angle between the lines sin^(2) alpha.y^(2) -2xy.cos^(2) alpha + (...

    Text Solution

    |

  11. The minimum area of the triangle formed by the variable line 3 cos the...

    Text Solution

    |

  12. log (sin 1^(@)) xx log (sin 2^(@)) xx log (sin 3^(@))…….log (sin 179^(...

    Text Solution

    |

  13. If sinx + sin y=(1)/(2) and cos x+cos y=1, then tan (x+y)=

    Text Solution

    |

  14. In a triangle ABC, if (cos A)/(a) = (cos B)/(b)= (cos C)/(c ) and a=2 ...

    Text Solution

    |

  15. underset(x rarr0)(lim) (log(e) (1+x))/(3^(x)-1)=

    Text Solution

    |

  16. Let f(x) = {(x", if x is irrational"),(0", if x is ratinal"):} then f ...

    Text Solution

    |

  17. In a regular graph of 15 vertices the sum of the degree of the vertice...

    Text Solution

    |

  18. The remainder when, 10^(10).(10^(10) +1) (10^(10) +2) is divided by 6 ...

    Text Solution

    |

  19. A value of x satisfying 150 x -= 35 (mod 31) is

    Text Solution

    |

  20. The smallest positive divisor greater than 1 of a composite number 'a'...

    Text Solution

    |