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

The domain of the definition of the function y(x) given by the equation `2^(x)+2^(y)=2` is :

A

`0ltxle1`

B

`0lexle1`

C

`-ooltxle0`

D

`-ooltxlt1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    MODERN PUBLICATION|Exercise LATEST QUESTION FOR AIEEE/JEE EXAMINATIONS|4 Videos
  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos
  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos
  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos
  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

Similar Questions

Explore conceptually related problems

The domain of definition of the function : y=3e^(sqrt(x^(2)-1))log(x-1) is :

The interval contained in the domain of definition of non-zero solutions of the differential equation (x-3)^(2)y^(')+y =0 is

The domain of the function y=sin ^(-1)(-x^(2)) is

The domain of the function y=sqrt(x-2)+sqrt(1-x) is

The domain of the function cos ^(-1)(2 x-1) is

The domain of definition of the function : root(3)((2x+1)/(x^(2)-10x-11)) is given by :

The domain of definition of the function : f(x)=sqrt(log_(10)((5x-x^(2))/(4))) is :

The domain and range of the function f given by : f(x)=2-|x-5| is :

MODERN PUBLICATION-FUNCTIONS-MULTIPLE CHOICE QUESTIONS (LEVEL -II)
  1. Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is...

    Text Solution

    |

  2. Let f(x)=(sqrt(sinx))/(1+root(3)(sinx)). If D is the domain of f, then...

    Text Solution

    |

  3. The domain of the definition of the function y(x) given by the equatio...

    Text Solution

    |

  4. Let X={1,2,3,4}, then one-one onto mappings f:XtoX such that f(1)=1,f(...

    Text Solution

    |

  5. The domain of definition of f(x)=(log(2)(x+3))/(x^(2)+3x+2) is :

    Text Solution

    |

  6. The domain of sin^(-1)[log(3)((x)/(3))] is :

    Text Solution

    |

  7. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  8. A function f from the set of natural numbers to integers defined by : ...

    Text Solution

    |

  9. Domain of definition of the function : f(x)=(3)/(4-x^2)+log(10)(x^(3)-...

    Text Solution

    |

  10. If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7, then sum...

    Text Solution

    |

  11. The domain of the function : f(x)=(sin^(-1)(x-3))/(sqrt(9-x^2)) is :

    Text Solution

    |

  12. The graph of the function y=f(x) is symmetrical about the line x=2, th...

    Text Solution

    |

  13. If f(x)=sinx+cosx,g(x)=x^(2)-1, then g(f(x)) is invertible in the doma...

    Text Solution

    |

  14. The natural domain of the function sqrt(sin^(-1)(2x)+(pi)/(6)),x inR i...

    Text Solution

    |

  15. Let f:(-1,1)toB be a function defined by : f(x)=tan^(-1)""(2x)/(1-x^2)...

    Text Solution

    |

  16. For real x, let f(x)=x^(3)+5x+1,, then :

    Text Solution

    |

  17. Let A and B be two finite sets having m and n elements respectively. I...

    Text Solution

    |

  18. The domain of the function : y=underset(larr"n times"rarr)(log(10)log(...

    Text Solution

    |

  19. If [x] stands for the greatest integer function, then the value of : [...

    Text Solution

    |

  20. A real valued function f(x) satisfies the functional equation : f(x-y)...

    Text Solution

    |