Home
Class 12
MATHS
The domain of the function f(x)=1/(sqrt(...

The domain of the function `f(x)=1/(sqrt([x]^2-3[x]-10))` is (where `[x]` denotes the greatest integer less than or equal to x)

A

`(-oo,-2) uu [6,oo)`

B

`(-oo,-3] uu (5,oo)`

C

`(-oo,-2) uu (5,oo)`

D

`(-oo,-3] uu [6,oo)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x)=(sec^(-1)x)/(sqrt(x-[x])) , where [x] denotes the greatest integers less than or equal to x is defined for all x belonging to

The domain of the function f(x) = sqrt((4-x^(2))/([x]+2)) where [x] denotes the greatest integer less than or equal to x,is

The domain of the function f(x)=(1)/(sqrt([x]^(2)-[x]-20)) is (where, [.] represents the greatest integer function)

The domain of the function f(x)=(1)/(sqrt([x]^(2)-2[x]-8)) is,where [^(*)] denotes greatest integer function

The domain of the function f(x)=sqrt(x^(2)-[x]^(2)), where [x] is the greatest integer less than or equal to x, is R(b)[0,+oo](-oo,0)(d) none of these

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

int_(0)^(15/2)[x-1]dx= where [x] denotes the greatest integer less than or equal to x

The function f(x)=(tan |pi[x-pi]|)/(1+[x]^(2)) , where [x] denotes the greatest integer less than or equal to x, is

The real valued function f(x)=(cosec^(-1)x)/(sqrt(x-[x])) , where [x] denotes the greatest integer less than or equal to x, is definde for all x belonging to :

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. If the system of linear equations 7x+11y+alphaz=13 5x+4y+7z=beta 175x+...

    Text Solution

    |

  2. If f:RR to RR be a continuous function satisfying int0^(pi/2) f(sin ...

    Text Solution

    |

  3. The domain of the function f(x)=1/(sqrt([x]^2-3[x]-10)) is (where [x] ...

    Text Solution

    |

  4. If the letters of the word "MATHS" are permuted and all possible words...

    Text Solution

    |

  5. Let y= y(x) be the solution of the differential equation (dy)/(dx)+5/...

    Text Solution

    |

  6. Let the probability of getting head for a biased coin be 1/4. It is to...

    Text Solution

    |

  7. Let A=1{1.2.34 5} and B= {1,2 3.4, 5 6}. Then the number of functions ...

    Text Solution

    |

  8. For k in NN , if the sum of the series 1+4/k+8/k^2+13/k^2+19/k^4+. . ....

    Text Solution

    |

  9. Let the line l:x=(1-y)/-2=(z-3)/lamda ,lamda in RR meet the plane P:x ...

    Text Solution

    |

  10. If A is the area in the first quadrant enclosed by the curve C: 2x^2-y...

    Text Solution

    |

  11. Let veca=hati+2hatj+3hatk and vecb=hati+hatj-hatk.If vecc is a vector ...

    Text Solution

    |

  12. Let the tangent to the parabola y^2 = 12x at the point (3, alpha) be p...

    Text Solution

    |

  13. The number of points, where the curve f(x)=e^(8x)-e^(6x)-3e^(4x)-e^(2x...

    Text Solution

    |

  14. If the line l1 : 3y - 2x = 3 is the angular bisector of the lines l2 :...

    Text Solution

    |

  15. Let S={z in CC-{i-2i}:(z^2+8iz-15)/(z^2-3iz-2) in RR}.If alpha-13/11i ...

    Text Solution

    |

  16. Let (a+bx+cx^2)^10= sum(i=0)^(20) pi x^(i), a,b,c in NN. If p1=20 and ...

    Text Solution

    |

  17. Let x= x(y) be the solution of the differential equation 2(y+2)loge(y+...

    Text Solution

    |

  18. The total number of three-digit numbers, divisible by 3, which can be ...

    Text Solution

    |

  19. The mean and standard deviation of 10 observations are 20 and 8 respec...

    Text Solution

    |

  20. If the domain of the function f(x)=loge(4x^2+11x+6)+ sin^-1(4x+3)+cos^...

    Text Solution

    |