Home
Class 12
MATHS
The period of the function f(x)=[6x+7]+c...

The period of the function `f(x)=[6x+7]+cospix-6x ,` where `[dot]` denotes the greatest integer function is: (a)3 (b) 2`pi` (c) 2 (d) none of these

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_0^(2pi)[sinx]dx ,where [dot] denotes the greatest integer function.

The range of the function f(x)=sin^-1(log [x])+log(sin^-1[x]), (where [,] denotes the greatest integer function) is

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

The value of int_(-2)^1[x[1+cos((pix)/2)]+1]dx , where [.] denotes the greatest integer function, is (a)1 (b) 1//2 (c) 2 (d) none of these

Identify the following functions: f(x)=cos["x"]+[(sinx)/2] where [dot] denotes the greatest integer function.

The function f(x) = [x]^2-[x^2] (where [.] denotes the greatest integer function ) is discontinuous at

Find the range of the following function : f(x)=In(x-[x]) ,where[.]denotes the greatest integer function.

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

The function f(x)=tan{pi[x-pi/2]}/(2+[x^2] , where [x] denotes the greatest integer le x, is

If [x+[2x]] lt3 , where [.] denotes the greatest integer function, then x is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let R="{"x , y")": x , y in R ,x^2+y^2lt=25}andR^(prime)={(x , y): x ...

    Text Solution

    |

  2. A certain polynomial P(x)x in R when divided by x-a ,x-ba n dx-c le...

    Text Solution

    |

  3. The period of the function f(x)=[6x+7]+cospix-6x , where [dot] denotes...

    Text Solution

    |

  4. If the graph of the function f(x)=(a^x-1)/(x^n(a^x+1)) is symmetric ab...

    Text Solution

    |

  5. The solution set for [x]{x}=1 (where {x} and [x] are respectively, fr...

    Text Solution

    |

  6. Let f: RvecR be a continuous and differentiable function such that (f(...

    Text Solution

    |

  7. The possible values of a such that the equation x^2+2a x+a=sqrt(a^2+x-...

    Text Solution

    |

  8. Let g(x)=f(x)-1. If f(x)+f(1-x)=2AAx in R , then g(x) is symmetrical ...

    Text Solution

    |

  9. Domain (D) and range (R) of f(x)=sin^(-1)(cos^(-1)[x]), where [.] den...

    Text Solution

    |

  10. If f(x+1)+f(x-1)=2f(x) and f(0)=0, then find f(n),n in N , is

    Text Solution

    |

  11. The range of the function f defined by f(x)=[1/(sin{x})] (where [.] ...

    Text Solution

    |

  12. If a, b be two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2 ...

    Text Solution

    |

  13. If f(x) = cos(loge x), then find the value of f(x)cdot f(y) - 1/2[f(x/...

    Text Solution

    |

  14. If x satisfies |x-1|+x-2|+|x-3| >= 6, then (a) 0 le x le 4 (b) x le ...

    Text Solution

    |

  15. Which of the following functions is periodic?

    Text Solution

    |

  16. The domain of definition of the function y=1/((log)(10)(1-x))+sqrt(x+...

    Text Solution

    |

  17. Let f(x)=sinx and g(x)=(log)e|x| If the ranges of the composition func...

    Text Solution

    |

  18. If a, b be two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2 ...

    Text Solution

    |

  19. Which of the following pairs of functions is/are identical? (a) f(x)=...

    Text Solution

    |

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

    Text Solution

    |