Home
Class 11
MATHS
Domain of the function f(x)=1/sqrt(^10C(...

Domain of the function `f(x)=1/sqrt(^10C_(x-1) -3. ^10C_x` contains the points

A

{9,10,11}

B

{9,10,12}

C

all natural numbers

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

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

The domain of the function f(x)=(1)/(sqrt(""^(10)C_(x-1)-3xx""^(10)C_(x))) is

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

Domain of the function f(x)=x/sqrt(sin(Inx)-cos(Inx)) is

The domain of the function f(x)=1/(sqrt(4x-|x^2-10 x+9|)) is

Domain of the function f (x)= (x)/(log _(e) (1+x)) is-

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

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

Find the domain of the function f(x)=sqrt(2x+1)+sqrt(5-x) .

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

PATHFINDER-FUNCTION-QUESTION BANK
  1. f(x)=sin^(-1)(x-1)+cos^(-1)(x-2), then domain of f(x) is

    Text Solution

    |

  2. The domain of definition of the function y(x) given by the equation 2^...

    Text Solution

    |

  3. Domain of the function f(x)=1/sqrt(^10C(x-1) -3. ^10Cx contains the po...

    Text Solution

    |

  4. Domain of the function f(x)=x/sqrt(sin(Inx)-cos(Inx)) is

    Text Solution

    |

  5. If f(X)=sqrt(sec^-1((2-|x|)/4)), then the domain of f(x) is

    Text Solution

    |

  6. The range of the function f(x)=sin^-1(log [x])+log(sin^-1[x]), (where...

    Text Solution

    |

  7. If f(X)=lim[x/(x+1) + x/{(x+1)(2x+1)} + x/{(2x+1)(3x+1)} +…+ to n term...

    Text Solution

    |

  8. Find the range of the following function f(x)=log2"((sinx-cosx+3sqrt2...

    Text Solution

    |

  9. If - pi/2 lt x lt pi/2, then the range of the function f(x)=cos [x] i...

    Text Solution

    |

  10. If f : R rarr R is defined by f(x)=1/(2-cos3x) for each x in R, then t...

    Text Solution

    |

  11. If f(x+y)=f(x)f(y)AA x,y in R, f(0) ne 0 then F(x) = {f(x)/(1+(f(x)))^...

    Text Solution

    |

  12. A function satisfies the conditions f(x+y)=f(x) + f(y), AA x, y in R ...

    Text Solution

    |

  13. If the function f(x)=[3.5 + b sin x] (where[.] denotes the greatest in...

    Text Solution

    |

  14. Function f(x)=log(x^3+sqrt1+x^6) is

    Text Solution

    |

  15. If the function f satisfies the relation f(x+y)+f(x-y)=2f(x)xxf(y), AA...

    Text Solution

    |

  16. If overset(n) underset (k=0) sum f(x+ka)=0 where a gt 0, then the peri...

    Text Solution

    |

  17. Function f satisfies the equation f(x+a)={(1+f(x))/(1-f(x))} AA x in R...

    Text Solution

    |

  18. If f'(x)={(1-2sin^2x)/(f(x))}, f(x) ge 0, AA x in R and f(0)=1, then ...

    Text Solution

    |

  19. If a, b be two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2 ...

    Text Solution

    |

  20. Period of f(x)=sin, pi/2 x+2cos, pi/3 x-tan, pi/4 x is equal to

    Text Solution

    |