Home
Class 12
MATHS
let A be the greatest value of the funct...

let A be the greatest value of the function `f(x)=log _(x) [x],` (where `[.]` denotes gratest integer function) and B be the least value of the function `g (x) = |sin x | +|cos x| ,` then :

A

`A gtB`

B

`A lt B`

C

`A =B`

D

`2A+ B=4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT|23 Videos
  • FUNCTION

    VK JAISWAL ENGLISH|Exercise COMPREHENSION TYPE PROBLEMS|15 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 range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):

The function, f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

Find the domain of the function f(x)=log_(e)(x-[x]) , where [.] denotes the greatest integer function.

The period of the function f(x)=Sin(x +3-[x+3]) where [] denotes the greatest integer function

Find range of the function f(x)=log_(2)[3x-[x+[x+[x]]]] (where [.] is greatest integer function)

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

Domain of f(x)=log(x^2+5x+6)/([x]-1) where [.] denotes greatest integer function:

f(x)=sin^-1[log_2(x^2/2)] 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^(2) x] ([.] denotes the greatest integer function), then

VK JAISWAL ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. let A be the greatest value of the function f(x)=log (x) [x], (where [...

    Text Solution

    |

  2. Let f(x) be a polynomial of degree 6 with leading coefficient 2009. Su...

    Text Solution

    |

  3. Let f (x) =x ^(3)-3x Find f (f (x))

    Text Solution

    |

  4. If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2 and f(0)=1AAx ,y in R ,d e t e ...

    Text Solution

    |

  5. If the domain of f(x) = sqrt (12-3^(x)-3^(3-x))+ sin ^(-1) ((2x)/(3 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |