Home
Class 11
MATHS
The domain of sech^(-1)((x)/(2)) is...

The domain of `sech^(-1)((x)/(2))` is

A

`(0, (1)/(2))`

B

`[0, (1)/(2)]`

C

`(0, (1)/(2)]`

D

`(0, 2]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|21 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (STRAIGHT OBJECTIVE TYPE QUESTIONS)|20 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-I|40 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

Similar Questions

Explore conceptually related problems

The domain of Sech^(-1)3x is

The domain of Cosh^(1)3x is

The domain of Coth^(-1)2x is

The domain of "Cosec"^(-1)(2x-11) is

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

The domain of Tanh^(-1)5x is

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

The domain of sqrt((x-1)(x-2)(x-3)) is

The domain of f(x)=cos^(-1)(x^(2)-3) is

AAKASH SERIES-HYPERBOLIC FUNCTIONS -EXERCISE - II
  1. sin h^(-1) ((x)/(sqrt(1 - x^(2)))) =

    Text Solution

    |

  2. The point of intersection of the curves y=cosh(x) and y=sech(x) is

    Text Solution

    |

  3. The domain of cos h^(-1) (2x) is

    Text Solution

    |

  4. If 'x' is an acute angle and y=log(tan((pi)/(4)+(x)/(2))) then cosx.co...

    Text Solution

    |

  5. Statement-I: If f(x) = coshx - sinhx for x in R then f(x-y)=f(x) div ...

    Text Solution

    |

  6. Statement-I: If sechx + cosechx ="k"(e^((k-1)x))/(e^(kx)-1) then k = 3...

    Text Solution

    |

  7. Arrange the following in ascending order of their values (A) cosh2 ...

    Text Solution

    |

  8. If 2(sinh2+sinh3+sinh5) (e^(5))/(e^(5)-1)=a+be^(2)+ce^(3)+de^(5) then ...

    Text Solution

    |

  9. Match from List-I to List-II {:("List-I","List-II"),("(Function)","(...

    Text Solution

    |

  10. Observe the following statements: Assertion(A) : If -(pi)/(2) lt the...

    Text Solution

    |

  11. Observe the following statements: Assertion (A): If "sinh"^(-1) sqrt...

    Text Solution

    |

  12. If tanA=tan alpha tanh beta and tanB=cot alpha tan h beta then tan(A+...

    Text Solution

    |

  13. log[(x-1)+sqrt(x^(2)-2x)], x ge 2, is equal to

    Text Solution

    |

  14. For 0 lt x le pi, sinh^(-1) (cotx)=

    Text Solution

    |

  15. tan h^(-1) ((1)/(2)) + cot h^(-1) (2) =

    Text Solution

    |

  16. The domain of sech^(-1)((x)/(2)) is

    Text Solution

    |

  17. If x=tanh^(-1)(y), then log(e )((1+y)/(1-y))=

    Text Solution

    |

  18. sec h^(-1) ((1)/(2)) - "cosec h"^(-1) ((3)/(4)) =

    Text Solution

    |

  19. If 2"sinh"^(-1)((a)/(sqrt(1-a^(2))))=log((1+x)/(1-x)) then x =

    Text Solution

    |

  20. If cos h (x)=(5)/(4), then cos h (3x)=

    Text Solution

    |