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

The domain of definition of the function `f(x) =sqrt(log _(e) (x^(2) -6x +6))` is-

A

`(-oo, 3-sqrt3]uu[3+sqrt3, oo)`

B

`(-oo, 3- sqrt3]uu[5,oo)`

C

`(-oo, 3- sqrt3)uu(3+sqrt3,oo)`

D

`(-oo, 1] uu[ 5,oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 2|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 4|91 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

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

The domain of definition of the function f(x)=sqrt(x+3) is :

The domain of defination of the function f (x )= log _(3+x) (x^(2) -1) is-

Find the domain of definition of the function f(x)=(1)/sqrt(x^2-4x)

Find the domain of definition of the function f(x) = 1/sqrt(absx + x) .

Find the domain of definition of the function f(x)=1/(sqrt(5x-x^2-6))

Find the Domain of definition of the function f(x) = sqrt(log_10 ((3x - x^2)/2) + sqrt( x - 3/2) .

Domain of definition of the function f(x) =sin ^(-1) [log _(2)((1)/(2)x^(2))] is-

Domain of definition of the function f (x) =(3)/(4- x ^(2)) log _(10) (x^(3) -x) is-

Domain of definition of the function f(x) = log_2 (-log_(1/2) (1+x^(-4))-1) is

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 9
  1. The domain of definition of the function f(x) =sqrt(log (e) (x^(2) -6x...

    Text Solution

    |

  2. if tan x =b/a, then (sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))) is equal to-

    Text Solution

    |

  3. The complex number z is is such that |z| =1, z ne -1 and w= (z-1)/(z+1...

    Text Solution

    |

  4. The number of words that can be formed out of the letters of the word ...

    Text Solution

    |

  5. The product [32. (32)^(1//6). (32) ^(1//36). ..o] is equal to-

    Text Solution

    |

  6. If a, b, c are distinct positive rational numbers and they are in A.P....

    Text Solution

    |

  7. If the pth, qth and rth terms of a G.P. are again in G.P., then p, q, ...

    Text Solution

    |

  8. 10 boys and 6 girls are arranged in a row, the number of arrangement i...

    Text Solution

    |

  9. If i= sqrt(-1) then the value of sqrti is-

    Text Solution

    |

  10. The sm of numjbers lying between 107 and 253 and divisible by 5 is-

    Text Solution

    |

  11. The coefficient of x ^(24) in (1+ x^(2)) ^(12)(1+ x^(12))(1+ x ^(24)) ...

    Text Solution

    |

  12. If the sum of squares of the diviations of 10 observations taken from ...

    Text Solution

    |

  13. If omega is a complex cube root of unity, then the value of (2-omega) ...

    Text Solution

    |

  14. If the coefficient of x^(7) in (ax ^(2) +(1)/(bx)) ^(11) equals the c...

    Text Solution

    |

  15. The probability of getting a total of at least 6 in the simultaneous t...

    Text Solution

    |

  16. In the Argand diagram, OAP is an isosceles right angled triangle, righ...

    Text Solution

    |

  17. The real part of (1+ cos ""pi/5 + i sin ""pi/5)^(-1) is-

    Text Solution

    |

  18. The valud of [15^(2)+16^(2)+17^(2)+…+ 30^(2)] is-

    Text Solution

    |

  19. 5 boys and 5 girls are sitting in a row randomly. The probability that...

    Text Solution

    |

  20. If x in RR and (x)/(2x+1) ge 1/4, state which of the following is true...

    Text Solution

    |

  21. The value of (""^(20) C(4) +2* ""^(20)C(3)+""^(20)C(2) -""^(22)C(18)) ...

    Text Solution

    |