Home
Class 12
MATHS
If f (x) =(1+ sqrt(-1 ) cos x)/( 1- sq...

If `f (x) =(1+ sqrt(-1 ) cos x)/( 1- sqrt(-1)sin x)` then its range is ____

A

1

B

2

C

`sqrt(2)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ML KHANNA|Exercise PROBLEM SET (4) |43 Videos

  • FUNCTIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES )|4 Videos

  • FUNCTIONS

    ML KHANNA|Exercise PROBLEM SET (2) |40 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 Videos

  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (3) FILL IN THE BLANKS|9 Videos

Similar Questions

Explore conceptually related problems

Consider a real - valued function f(x) = sqrt(sin^(-1) x + 2) + sqrt(1 - sin^(-1)x) The range of f (x) is

if: f(x)=(sin x)/(sqrt(1+tan^(2)x))-(cos x)/(sqrt(1+cot^(2)x)), then find the range of f(x)

If f(x)=(sin^(-1)x+tan^(-1)x)/(pi)+2sqrt(x), then the range of f(x) is

If f:RtoR,f(x)=(sqrt(x^(2)+1)-3x)/(sqrt(x^(2)+1)+x) then find the range of f(x) .

If f(x)=sin^(-1)sqrt(x-4), the range of x is

sin^(-1)sqrt(x^(2)+x+1) Find the range

Consider the function f(x)=(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cos x)) then Q. If x in (pi, 2pi) then f(x) is

Consider a real-valued function f(x)= sqrt(sin^-1 x + 2) + sqrt(1 – sin^-1x) then The domain of definition of f(x) is

Let f(x) = tan^(-1) (sqrt(x+7)) + sec^(-1)(1/(sqrt(x(x+7)+1))) , then the range of contains …………. Elements.

ML KHANNA-FUNCTIONS-PROBLEM SET (3)
  1. The range of the function f (x)=1/(2-sin 3x) =

    Text Solution

    |

  2. The domain and range of the function f (x) = ""^(7-x)P(x-3)are ..........

    Text Solution

    |

  3. The range of the function f (x) = ""^(7-x)P(x-3)are .......

    Text Solution

    |

  4. The range of the function f(x) = sqrt( ""^(x^2 + 4x )C( 2x^2 +3))...

    Text Solution

    |

  5. The domain of the function f(x) = sqrt( ""^(x^2 + 4x )C( 2x^2 +3)...

    Text Solution

    |

  6. The domain of the function f(x)=""^(16-x)C(2x-1+^(20-3x)P(4x-5), where...

    Text Solution

    |

  7. The range of the function y=(x)/( 1+x^2)is

    Text Solution

    |

  8. Range of f(x) =(x^2 +x+2)/(x^2 +x+1)- oo lt x lt oo, is

    Text Solution

    |

  9. Let f be a real valued function defined by f(x)=(e^x-e^(-|x|))/(e^x+e^...

    Text Solution

    |

  10. The range of the function y=(x-1)/(x^2 -3x +3) is

    Text Solution

    |

  11. If f (x) =(1+ sqrt(-1 ) cos x)/( 1- sqrt(-1)sin x) then its range ...

    Text Solution

    |

  12. If b^2-4ac=0,a>0 then the domain of the function f(x)=log(a x^3+(a+b)x...

    Text Solution

    |

  13. The domain of definition of the function f (x) = log|4-x^2| is R-{2,-2...

    Text Solution

    |

  14. If f1 (x) and f2 (x) are defined on domains D1 and D2 respectively,...

    Text Solution

    |

  15. The domain of definition of the function f (x) = logx e is .........

    Text Solution

    |

  16. The domain and range (Range = f (x): x in domain off ) of the functio...

    Text Solution

    |

  17. Find the domain of f(x)=sqrt(sinx)+sqrt(16-x^2)

    Text Solution

    |

  18. The domain and range of the function f(x)=(x^2 )/((1+x^2)) are ..........

    Text Solution

    |

  19. Given A = {x : (pi)/(6) le x le (pi)/( 3)} and f(x) = cos x - x ( 1+...

    Text Solution

    |

  20. If the function f and g are defined from the set of real numbers R to ...

    Text Solution

    |