Home
Class 12
MATHS
Let f(x)=sqrt([sin 2x] -[cos 2x]) (where...

Let `f(x)=sqrt([sin 2x] -[cos 2x])` (where I I denotes the greatest integer function) then the range of f(x) will be

A

{0}

B

{1}

C

{0,-1}

D

`{0,1sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level-II|20 Videos
  • FUNCTION

    FIITJEE|Exercise COMPREHENSIONS|8 Videos
  • FUNCTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level-II|17 Videos
  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos
  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=sqrt([sin2x]-[cos2x]) (where II denotes the greatest integer function then the range of f(x) will be

If f(x)=[2x], where [.] denotes the greatest integer function,then

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

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

Let f(x)=[x]cos ((pi)/([x+2])) where [ ] denotes the greatest integer function. Then, the domain of f is

Let f(x)=[x]+sqrt(x-[x]), where [.] denotes the greatest integer function.Then

Let f(x) = sec^(-1)[1 + cos^(2) x] , wheb denotes the greatest integer function. Then the range of (x) is

Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer function. Then the

FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
  1. If f(x)=abs(x-1)+abs(x-4)+abs(x-9)+…+abs(x-2500)AA x inR, where m and ...

    Text Solution

    |

  2. Domain of the function f(x) = sin^(-1) [1 + cos x]- sqrt(16-x^(2)) ([....

    Text Solution

    |

  3. The number of solutions of log(x)3. = 2x-3 is,

    Text Solution

    |

  4. Domain of f(x)=sqrt((x-1)/(x-2{x})), where {.} denotes the fractional ...

    Text Solution

    |

  5. Let f(x)=sqrt([sin 2x] -[cos 2x]) (where I I denotes the greatest inte...

    Text Solution

    |

  6. The region M consists of all the points (x, y) satisfying the inequali...

    Text Solution

    |

  7. The domain of the function f(x)=sqrt(((sinx-e^(x))(cosx-3)("In"x+2))/(...

    Text Solution

    |

  8. A function f: I to I, f(x + y) = f(x) + f(y) - 1/2 AAx, y in I, where ...

    Text Solution

    |

  9. Consider the function f: A -> A where A:{1,2,3,4,5} which satisfy the...

    Text Solution

    |

  10. If f(x+y)=f(x)-f(y)+2xy-1AAx,yinR. Also if f(x) is differentiable and ...

    Text Solution

    |

  11. If f(x) is a real-valued function discontinuous at all integral points...

    Text Solution

    |

  12. A function f from integers to integers is defined as f(x)={{:(n+3",",n...

    Text Solution

    |

  13. f(x)+f(1-1/x)=1+x for x in R-{0,1}. Find the value of 4f(2).

    Text Solution

    |

  14. Xa n dY are two sets and f: XvecYdot If {f(c)=y ; csubX ,ysubY}a n d{f...

    Text Solution

    |

  15. The range of the function f(x) = sqrt(4 - x^2) + sqrt(x^2 - 1) is

    Text Solution

    |

  16. The domain function f(x) = 1/ (sqrt((|sin^-1x|-cos^-1|x|))) is given b...

    Text Solution

    |

  17. If f(x)=abs(1/(abs(absx-2))+1/(abs(absx-3))) and g(x)=sin^(-1)(2sqrtx)...

    Text Solution

    |

  18. If a function satisfies the condition f(x+1/x)=x^(2)+1/(x^(2)),xne0, t...

    Text Solution

    |

  19. Statement -1: f(x) is invertible function and f(f(x)) = x AA x in doma...

    Text Solution

    |

  20. If log(4)(x+2y)+log(4)(x-2y)=1, then Statement-1: (|x|-|y|)(min)=sqr...

    Text Solution

    |