Home
Class 14
MATHS
If [.] denotes the greatest integer less...

If `[.]` denotes the greatest integer less than or equal to x and (.) denotes the least integer greater than or equal to x, then domain of the function `f(x)=sin^(-1){x+[x]+(x)}` is

A

80

B

`-80`

C

72

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 1|40 Videos
  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos
  • FUNDAMENTALS

    ARIHANT SSC|Exercise LEVEL 2|123 Videos
  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos
  • GEOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|52 Videos

Similar Questions

Explore conceptually related problems

If [-] denotes the greatest integer less than or equal tox and [.] denotes the least integer greater than orequal tox,then solution set of the inequality [x]^(2)+[x]^(2)<4 is an interval [gamma,mu] then gamma+mu is equal to

Let [x] denotes the greatest integer less than or equal to x and f(x)= [tan^(2)x] .Then

If [x] is the greatest integer less than or equal to x and (x) be the least integer greater than or equal to x and [x]^(2)+(x)^(2)gt25 then x belongs to

If the sum of the greatest integer less than or equal to x and the least integer than or equal to x is 5, then the solution set for x is

If [x] denotes the greatest integer less than or equal to x, then ["log"_(10) 6730.4]=

If [x] denotes the greatest integer less than or equal to* then [(1+0.0001)^(1000)] equals

If [x] denotes the greatest integer less than or equal to x, then the solutions of the equation 2x-2[x]=1 are

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?

ARIHANT SSC-FUNDAMENTALS -FINAL ROUND
  1. By selling 20 articles for a rupee a man loses 10%. How many for a rup...

    Text Solution

    |

  2. If [x] read as the greatest ingeger less than or equal to x, {x} is t...

    Text Solution

    |

  3. If [.] denotes the greatest integer less than or equal to x and (.) de...

    Text Solution

    |

  4. If [x] read as the greatest integer less than or equal to x, {x} is t...

    Text Solution

    |

  5. Which of the following is/are true? (i) 43^3 - 1 is divisible by 11...

    Text Solution

    |

  6. Capt.Manoj Panday once decided to distribute 180 bullets among his 36 ...

    Text Solution

    |

  7. If (n-5) is divisible by 17 for every ninI^+ then the greatest integer...

    Text Solution

    |

  8. A certain number 'n' can exactly divide (3^24-1), then this number can...

    Text Solution

    |

  9. If a number 'n' can exactly, divide (5^14-1) then 'n' can necessarily ...

    Text Solution

    |

  10. The nth term of a series of which all the terms are positive is define...

    Text Solution

    |

  11. The number of zeros at end of the product of 222^(111) xx 35^(53) + ...

    Text Solution

    |

  12. (12345)/(12346) + (12346)/(12347) + (12347)/(12345) is equal to :

    Text Solution

    |

  13. The set S1 = {1}, S2 = {3,5}, S3 = {7,9,11} , etc. forms a sequence. ...

    Text Solution

    |

  14. The set S1 = {1}, S2 = {3,5}, S3 = {7,9,11} , etc. forms a sequence. ...

    Text Solution

    |

  15. The set S1 = {1}, S2 = {3,5}, S3 = {7,9,11} , etc. forms a sequence. ...

    Text Solution

    |

  16. During my studies once I brought a book from library which was written...

    Text Solution

    |

  17. The sum of 4 + 16 - 5 + 12 is according to book.

    Text Solution

    |

  18. The value of x for which the unit digits of (2357)^(log10 x) and (5723...

    Text Solution

    |

  19. The value of x for which the unit digits of the following two expressi...

    Text Solution

    |

  20. When any odd number greater than unity multiplied by even times by its...

    Text Solution

    |