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

The domain of definition of the function `f(x)=sqrt(sin^(-1)(2x)+pi/6)` for real-valued `x` is `[-1/4,1/2]` (b) `[-1/2,1/2]` (c) `(-1/2,1/9)` (d) `[-1/4,1/4]`

A

`[-1/2,1/2]`

B

`[-1/4,1/2]`

C

`[-1,1]`

D

`[-1,1/2]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|36 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C)(OBJECTIVE TYPE QUESTIONS (MORE THAN ONE OPTIONS ARE CORRECT))|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|21 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) for real-valued x is (a) [-1/4,1/2] (b) [-1/2,1/2] (c) (-1/2,1/9) (d) [-1/4,1/4]

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

The domain of definition of f(x) = sqrt(sec^(-1){(1-|x|)/(2)}) is

The domain of definition of the function f(x)=sin^(-1)((x-3)/(2))-log_(10)(4-x) , is

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

The domain of the function f(x)=4sqrt(cos^(-1)((1-|x|)/(2))) is

The domain of the function f(x)= sqrt(sin^(-1)x-(pi)/(4))+log(1-x) is :

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

The domain of the function f(x)=sqrt(1/((x|-1)cos^(- 1)(2x+1)tan3x)) is

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

AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. If sin^(-1)(x-(x^2)/2+(x^3)/4-ddot)+cos^(-1)(x^2-(x^4)/2+(x^6)/4)=pi/2...

    Text Solution

    |

  2. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If x1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x2=sin^(-1)(3/5)+sin^(-1)(...

    Text Solution

    |

  5. If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

    Text Solution

    |

  6. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  7. Express in terms of : sin^(-1)(2xsqrt(1-x^(2))) to sin^(-1)x for 1gexg...

    Text Solution

    |

  8. If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b)...

    Text Solution

    |

  9. y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),w h e ...

    Text Solution

    |

  10. If cos^(-1)""x/a+cos^(-1)""y/b=theta, Prove that x^(2)/a^(2)-(2xy)/(ab...

    Text Solution

    |

  11. tan^(-1)(1/2)+tan^(-1)(1/3) is equal to

    Text Solution

    |

  12. cos(tan^(-1)3/4)+cos(tan^(-1)x) is equal to

    Text Solution

    |

  13. If cot^(-1)x+tan^(-1)(1/2)=pi/4 then x is

    Text Solution

    |

  14. The value of cos^(-1)(-1)+sin^(-1)(1) is

    Text Solution

    |

  15. If sin^(- 1)(3/x)+sin^(- 1)(4/x)=pi/2 then x=

    Text Solution

    |

  16. The domain of the function f(x)=cos^(-1)((2-absx)/4) is

    Text Solution

    |

  17. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |

  18. tan^(-1)x-tan^(-1)y=tan^(-1)((x-y)/(1+xy)) holds good for

    Text Solution

    |

  19. If sin^(-1)x+sin^(-1)(1-x)+cos^(-1)x=0, then x is

    Text Solution

    |

  20. sin^(-1)(sinx)=x if

    Text Solution

    |