Home
Class 12
MATHS
Let f(x)=sinsqrt(p)x, where p=[a]=great...

Let `f(x)=sinsqrt(p)x`, where `p=[a]=`greatest integer less than or equal to a. If the period of f(x) is `pi`, then :

A

`ain[4,5]`

B

`a=4,5`

C

`ain[4,5)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    MODERN PUBLICATION|Exercise LATEST QUESTION FOR AIEEE/JEE EXAMINATIONS|4 Videos

  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos

  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos

  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

Similar Questions

Explore conceptually related problems

The funcction f(x)=x-[x]+cosx , where [x] is the greatest integer less than or equal to x, is a :

If f (x) = x - [x], x (ne 0 ) in R, where [x] is the greatest integer less than or equal to x, then the number of solutions of f(x) + f ((1)/(x)) = 1 is :

If [x] denotes the greatest integer less than or equal to x, then the solution of ([x]-6)/(8-[x]) gt 0 is

Let f : R to R be the Signum Function defined as f (x) = {{:(1",", x gt 0), ( 0"," , x =0), ( -1 "," , x lt 0):} and g : R to R be the Greatest Integer Function given by g (x) = [x], where [x] is greatest integer less than or equal to x. Then does fog and gof coincide in (0,1] ?

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

Let [x] = the greatest integer less than or equal to x and let f(x) = sinx + cosx . Then the most general solutions of f(x) = [f(pi/10)] are :

lim_(x rarr 1) [x-1] , where [*] is the greatest integer function is equal to :

MODERN PUBLICATION-FUNCTIONS-MULTIPLE CHOICE QUESTIONS (LEVEL -II)
  1. Given f(x):(1)/(sqrt(|x|-x))andg(x)=(1)/(sqrt(x-|x|)), then :

    Text Solution

    |

  2. The function f and g are given by : f(x)=(x), the fractional part of x...

    Text Solution

    |

  3. Let f(x)=sinsqrt(p)x, where p=[a]=greatest integer less than or equal...

    Text Solution

    |

  4. Let f:RtoR be defined by f(x)=x^(2)+1, then the value of f^(-1)(17)and...

    Text Solution

    |

  5. Let x be any real number, then [x+y]=[x]+[y] holds for :

    Text Solution

    |

  6. log(2)(log(3)(log(2)x))=1, then the value of x is :

    Text Solution

    |

  7. Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is...

    Text Solution

    |

  8. Let f(x)=(sqrt(sinx))/(1+root(3)(sinx)). If D is the domain of f, then...

    Text Solution

    |

  9. The domain of the definition of the function y(x) given by the equatio...

    Text Solution

    |

  10. Let X={1,2,3,4}, then one-one onto mappings f:XtoX such that f(1)=1,f(...

    Text Solution

    |

  11. The domain of definition of f(x)=(log(2)(x+3))/(x^(2)+3x+2) is :

    Text Solution

    |

  12. The domain of sin^(-1)[log(3)((x)/(3))] is :

    Text Solution

    |

  13. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  14. A function f from the set of natural numbers to integers defined by : ...

    Text Solution

    |

  15. Domain of definition of the function : f(x)=(3)/(4-x^2)+log(10)(x^(3)-...

    Text Solution

    |

  16. If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7, then sum...

    Text Solution

    |

  17. The domain of the function : f(x)=(sin^(-1)(x-3))/(sqrt(9-x^2)) is :

    Text Solution

    |

  18. The graph of the function y=f(x) is symmetrical about the line x=2, th...

    Text Solution

    |

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

    Text Solution

    |

  20. The natural domain of the function sqrt(sin^(-1)(2x)+(pi)/(6)),x inR i...

    Text Solution

    |