Home
Class 12
MATHS
The number of integers in the range of f...

The number of integers in the range of function `f (x) = [ sin x] + [ sin x+ cos x]` is (where [.]= denotes greatet integer funcion)

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise MATCHING TYPE PROBLEMS|6 Videos

  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • HYPERBOLA

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

The number of integers in the range of function f(x)= [sinx] + [cosx] + [sinx + cosx] is (where [.] = denotes greatest integer function)

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

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

The range of the function f(x) =[sinx+cosx] (where [x] denotes the greatest integer function) is f(x) in :

If f(x) =[ sin ^(-1)(sin 2x )] (where, [] denotes the greatest integer function ), then

If f(x) =2 [x]+ cos x , then f: R ->R is: (where [ ] denotes greatest integer function)

Period of f(x) = sin 3x cos[3x]-cos 3x sin [3x] (where[] denotes the greatest integer function), is

The value of int_(-20pi)^(20 pi) |sin x| [ sin x] dx is (where [.] denotes greatest integer function)

The equation x^2 - 2 = [sin x], where [.] denotes the greatest integer function, has

Solution set of [sin^-1 x]gt [cos^-1 x] . where [*] denotes greatest integer function

VK JAISWAL ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. If the domain of f(x) = sqrt (12-3^(x)-3^(3-x))+ sin ^(-1) ((2x)/(3 ...

    Text Solution

    |

  2. The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/...

    Text Solution

    |

  3. The number of integers in the range of function f (x) = [ sin x] + [ s...

    Text Solution

    |

  4. If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2...

    Text Solution

    |

  5. The number of integral vlaue (s) of k for which the curve y = sqrt ( ...

    Text Solution

    |

  6. Let the solution set of the equation : sqrt([x+[(x)/(2)]])+ sqrt((x)...

    Text Solution

    |

  7. For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Fi...

    Text Solution

    |

  8. Find the number of elements contained in the range of the function f (...

    Text Solution

    |

  9. Let f (x,y)= x^(2) - y^(2) and g (x,y) = 2xy. such that (f ( x,y))^(2)...

    Text Solution

    |

  10. Let f (x) = (x+5)/(sqrt(x^(2)) +1) AA x in R, then the smallest integr...

    Text Solution

    |

  11. The number of integral values of a for which f (x) = x^(3) +(a+2) x ^(...

    Text Solution

    |

  12. The number of roots of equation (((x-1)(x-3))/((x-2)(x-4))-e^(x)) (((x...

    Text Solution

    |

  13. The number of solutions of the equation cos ^(-1)((1-x ^(2) -2x)/((x+...

    Text Solution

    |

  14. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

    Text Solution

    |

  15. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

    Text Solution

    |

  16. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

    Text Solution

    |

  17. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  18. Let f (x) = (ax+b)/(xc+d), where a,b,c d are non zero If f (7) =7,f (1...

    Text Solution

    |

  19. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} If A subB, then the rang of ...

    Text Solution

    |

  20. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |