Home
Class 12
MATHS
The domain of the function defined by f(...

The domain of the function defined by `f(x)=sin^(-1)sqrt(x-1)` is

A

[1,2]

B

[-1,1]

C

[0,1]

D

[-1,0]

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (I. Choose the Correct or the most suitable answer from the given four alternatives : )|15 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (II. Fill in the blanks :)|10 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise EXERCISE 4.5|20 Videos

  • DISCRETE MATHEMATICS

    SURA PUBLICATION|Exercise 5 MARKS|2 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - IV|26 Videos

Similar Questions

Explore conceptually related problems

The domain of the function defined by f(x)=cos^(-1) sqrt(x-1) is :

Find the domain and the range of the real function f defined by f(x)=sqrt((x-1))

Find the domain of the function: f(x)=(sin^(-1)x)/x

Find the domain of the function : f(x)=sin^(-1)((log)_2x)

Find the domain of the function: f(x)=(sin^(-1)(x-3))/(sqrt(9-x^2))

Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

Find the largest possible domain for the real valued function f defined by f(x)=sqrt(9-x^(2))/sqrt(x^(2)-1)

The domain of the function f (x) = (1)/(sqrt(9-x^2)) is

A function f has domain [-1,2] and range [0,1] . Find the domain and range of the function g defined by g(x)=1-f(x+1)dot

Domain of the function f(x)= sin^(- 1)(1+3x+2x^2)

SURA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 4.6 (Choose the Correct or the most suitable answer from the given four alternatives : )
  1. The value of sin^(-1)(cosx),0lexlepi is

    Text Solution

    |

  2. If sin^(-1)x+sin^(-1)y=(2pi)/(3)",then"cos^(-1)x+cos^(-1)y is equal to

    Text Solution

    |

  3. sin^(-1)""(3)/(5)-cos^(-1)""(12)/(13)+sec^(-1)""(5)/(3)-cosec^(-1)(13)...

    Text Solution

    |

  4. If sin^(-1)x=2sin^(-1)alpha has a solution, then

    Text Solution

    |

  5. sin^(-1)(cosx)=(pi)/(2)-x is valid for

    Text Solution

    |

  6. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) , the value of x^(2017)+y^(...

    Text Solution

    |

  7. If cot^(-1)x=(2pi)/(5)"for some"x""inR,"the value of"tan^(-1)x is

    Text Solution

    |

  8. The domain of the function defined by f(x)=sin^(-1)sqrt(x-1) is

    Text Solution

    |

  9. If x=(1)/(5),"the value of"cos(cos^(-1)x+2sin^(-1)x) is

    Text Solution

    |

  10. tan^(-1)((1)/(4))+tan^(-1)((2)/(9)) is equal to

    Text Solution

    |

  11. If the function f(x)=sin^(-1)(x^(2)-3)" then "x belongs to

    Text Solution

    |

  12. If cot^(-1)2andcot^(-1)3 are two anges of a triangle, then the third a...

    Text Solution

    |

  13. sin^(-1)[tan""(pi)/(4)]-sin^(-1)[sqrt((3)/(x))]=(pi)/(6). Then x is a ...

    Text Solution

    |

  14. sin^(-1)(2cos^(2)x-1)+cos^(-1)(1-2sin^(2)x)=

    Text Solution

    |

  15. If cot^(-1)(sqrt(sinalpha))+tan^(-1)(sqrt(sinalpha))=u,"then"cos2u"is ...

    Text Solution

    |

  16. If absxle1,"then"2tan^(-1)x-sin^(-1)""(2x)/(1+x^(2)) is equal to

    Text Solution

    |

  17. The equation tan^(-1)x-cot^(-1)x=tan^(-1)((1)/(sqrt(3))) has

    Text Solution

    |

  18. If sin^(-1)x+cot^(-1)((1)/(2))=(pi)/(2), then x is equalt to

    Text Solution

    |

  19. If sin^(-1)""(x)/(5)+cosec^(-1)""(5)/(4)=(pi)/(2), then the value of x...

    Text Solution

    |

  20. sin(tan^(-1)x)absxlt1 is equal to

    Text Solution

    |