Home
Class 12
MATHS
If f(x)=sin(sqrt([a])x) (where [.] denot...

If `f(x)=sin(sqrt([a])x)` (where [.] denotes the greatest integer function) has `pi` as its fundamental period, then

A

a=1

B

`ain{1,2}`

C

`a=9`

D

`ain{4,5}`

Text Solution

Verified by Experts

The correct Answer is:
D
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)=sin sqrt([a])x (where [1 denotes the greatest integer function).If f is periodic with fundamental period pi, then a belongs to

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

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

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

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

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

Domain of f(x)=sqrt([x]-1+x^(2)); where [.] denotes the greatest integer function,is

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

f(x)=cos^(-1)sqrt(log_([x])((|x|)/(x))) where [.1 denotes the greatest integer function

The domain of f(x)=sqrt([x]^(2)-7[x]+12) (where [.] denotes greatest integer function) is

FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
  1. The range of f(x) =sin(sin^(-1){x}). where { ·} denotes the fractional...

    Text Solution

    |

  2. Range of f(x)=cos^(- 1)x+2sin^(- 1)x+3tan^(- 1)x is

    Text Solution

    |

  3. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

    Text Solution

    |

  4. If f(x)={x, when x is rational, 1-x, when x is irrational , then

    Text Solution

    |

  5. If f:Rto(1,10), where f(x)=(x^(2)+1-alpha)/(x^(2)+2) is an onto functi...

    Text Solution

    |

  6. If f(x)=cos |x| + [|(sinx)/2|], (where [.] denotes the greatest intege...

    Text Solution

    |

  7. The range of function f(x) = sqrt(.^(x^2+4x)C(2x^2+3)) is

    Text Solution

    |

  8. The curve y = f(x) is symmetric about the lines (10^(4)- 1)x + 2(10^(4...

    Text Solution

    |

  9. If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distin...

    Text Solution

    |

  10. lf domain of f(x) is [-1, 2] then domain of f([x]-x^2+4) where [.] den...

    Text Solution

    |

  11. Period of the function f(x) = [5x + 7] + cospix - 5x where [·] denotes...

    Text Solution

    |

  12. The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in ...

    Text Solution

    |

  13. Let Sn=sum(r+1)^(n)r ! (n>6), then Sn-7[(Sn)/7] (where [.] denotes the...

    Text Solution

    |

  14. Period of the function f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]} is...

    Text Solution

    |

  15. The graph of y = f(x} is shown, then the number of solutions of f(f(x}...

    Text Solution

    |

  16. If f(x) = sin^(-1)(m^(2) -3m+ 1)sec (absx)/3-[e^(m-4)](sin{x}), where ...

    Text Solution

    |

  17. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

    Text Solution

    |

  18. If f(x)=abs(x-1)+abs(x-4)+abs(x-9)+…+abs(x-2500)AA x inR, where m and ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |