Home
Class 12
MATHS
The domain of definition of the function...

The domain of definition of the function `f(x)=3sqrt((2x+1)/(x^(2)-10-11))`, is

A

`(0,oo)`

B

`(-oo,0)`

C

`R-{-1,11}`

D

`R`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|8 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • SCALAR AND VECTOR PRODUCTS OF THREE VECTORS

    OBJECTIVE RD SHARMA|Exercise Exercise|65 Videos

Similar Questions

Explore conceptually related problems

The domain of definition of the function f(x) = sqrt(log_(x^(2)-1)) x is

Find the domain of definition of the function f(x) = sqrt(x^(2) - 25)

The domain of definition of the function f(x)=sqrt(log_(10) ((2-x)/(x))) is

The domain of definition of the function f(x)=tan((pi)/([x+2])) , is

Find the domain of definition of the function f(x)=(x)/(sqrt(x-1))

The domain of definition of the function f(x)=(1)/(sqrt(|x|-x)) is

The domain of definition of the function f(x)=sqrt((x-2)/(x+2))+sqrt((1-x)/(1+x)) is

Find the domain of definition of the function f(x) = sqrt(64 - x^(2)) .

The domain of definition of the function f(x)=sqrt((x-2)/(x+2))+sqrt((1-x)/(1+x)) is (-oo,-2]uu[2,oo) b. [-1,1] c. varphi d. none of these

OBJECTIVE RD SHARMA-REAL FUNCTIONS -Exercise
  1. The domain of the function f(x)=sin^(-1)log(3)(x/3)) is

    Text Solution

    |

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

    Text Solution

    |

  3. The domain of definition of the function f(x)=3sqrt((2x+1)/(x^(2)-10-...

    Text Solution

    |

  4. Let g(x) be a function defined on [-1,1]. If the area of the equilater...

    Text Solution

    |

  5. The domain of definition of the function f(x)=sin^(-1)((x-3)/(2))-l...

    Text Solution

    |

  6. The domain of definition of f(x)=sin^(-1)(|x-1|-2) is

    Text Solution

    |

  7. If f : R -> R are defined by f(x) = x - [x] and g(x) = [x] for x in R,...

    Text Solution

    |

  8. The domain of definition f(x)=sqrt(log(0.4) ((x-1)/(x+5)))xx1/(x^2-36...

    Text Solution

    |

  9. The set of all x for which the none of the functions is defined f(x)=l...

    Text Solution

    |

  10. If f: R to R is defined by f(x)=x-[x]-(1)/(2) for all x in R , wher...

    Text Solution

    |

  11. The domain of definition of f(x)=log(10) log(10)…..log(10)x , is

    Text Solution

    |

  12. The domain of the function f(x) = log10 log10 (1 + x ^3) is

    Text Solution

    |

  13. The domain of definition of the function f(x)=log(2)[-(log(2)x)^(2)+5...

    Text Solution

    |

  14. The domain of definition of f(x)=log(3)|log(e)x|, is

    Text Solution

    |

  15. The domain of definition of the function f(x)=log(3){-log(4)((6x-4)...

    Text Solution

    |

  16. The domain of definition of the function f(X)=x^((1)/(log(10)x)), is

    Text Solution

    |

  17. The domain of the function f(x)=(1)/(sqrt(|cosx|+cosx)) is

    Text Solution

    |

  18. If the function f(x)=log(x-2)-log(x-3) and g(x)=log((x-2)/(x-3)) are i...

    Text Solution

    |

  19. The domain of definition of the function f(x)=sin^(-1)((4)/(3+2 cos x)...

    Text Solution

    |

  20. The domain of the function f(x)=cos^(-1)[secx], where [x] denotes the ...

    Text Solution

    |