Home
Class 12
MATHS
The domain of the function f(x)=sqrt(l...

The domain of the function
`f(x)=sqrt(log_(sinx+cosx)(abs(cosx)+cosx)), 0 le x le pi` is

A

`(0,pi)`

B

`(0,pi/2)`

C

`(0,pi/3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x)=(1)/(sqrt(|cosx|+cosx)) is

The range of the function f(x)=1/abs(sinx)+1/abs(cosx) is

The peroid of the function f(x) =(|sinx|-|cosx|)/(|sin x + cosx|) is

The domain of definition of function f(x)=4sqrt(log_(3){(1)/(|cosx|)} ) is

The domain of the function f(x)=sqrt(abs(sin^(-1)(sinx))-cos^(-1)(cosx)) in [0,2pi] is

Find the domain of the function y=sinx+cosx

The period of the function f(x)=||sinx|-|cosx|| , is

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. The range of values of ‘a' such that (1/2)^|x|= x² - a is satisfied f...

    Text Solution

    |

  2. Let f:R rarr R be a function defined by f(x)={abs(cosx)}, where {x} re...

    Text Solution

    |

  3. The domain of the function f(x)=sqrt(log(sinx+cosx)(abs(cosx)+cosx))...

    Text Solution

    |

  4. If f(x)=(x^(2)+2alphax+alpha^(2)-1)^(1//4) has its domain and range su...

    Text Solution

    |

  5. If f: (e,oo) rarr R & f(x)=log[log (logx)], then f is -

    Text Solution

    |

  6. The expression x^2-4px+q^2> 0 for all real x and also r^2+ p^2 < qr t...

    Text Solution

    |

  7. Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda). If range of f...

    Text Solution

    |

  8. Let a=3^(1//224)+1 and for all n ge 3, let f(n)=""^(n)C(0)a^(n-1)-""...

    Text Solution

    |

  9. The area bounded by f(x)=sin^(-1)(sinx) and g(x)=pi/2-sqrt(pi^(2)/2-...

    Text Solution

    |

  10. If f.R rarr R,f(x)=(x^(2)+bx+1)/(x^(2)+2x+b),(b gt 1) " and " f(x), 1/...

    Text Solution

    |

  11. The period of sin""(pi[x])/12+cos""(pi[x])/4+tan""(pi[x])/3, where [x]...

    Text Solution

    |

  12. If f(2x+3y,2x-7y)=20x, then f(x,y) equals

    Text Solution

    |

  13. The range of the function f(x)=sqrt(x-1)+2sqrt(3-x) is

    Text Solution

    |

  14. The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cose...

    Text Solution

    |

  15. Let f(x) be a polynominal one-one function such that f(x)f(y)+2=f(x)...

    Text Solution

    |

  16. Let f(x) be a polynominal with real coefficients such that f(x)=f'(x) ...

    Text Solution

    |

  17. Let A={1,2,3,4,5} and f:A rarr A be an into function such that f(i) ne...

    Text Solution

    |

  18. If functions f:{1,2,…,n} rarr {1995,1996} satisfying f(1)+f(2)+…+f(199...

    Text Solution

    |

  19. The range of y=sin^(3)x-6sin^(2)x+11sinx-6 is

    Text Solution

    |

  20. Let f(x)=x^(2)-2x and g(x)=f(f(x)-1)+f(5-f(x)), then

    Text Solution

    |