Home
Class 12
MATHS
The domain of the function f(x)=(1)/(sqr...

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

A

`{9,10,11}`

B

`{9,10,12}`

C

all natural numbers

D

`{9,10}`

Text Solution

Verified by Experts

The correct Answer is:
D
Given function is defined if ` "''^(10)C_(x-1) gt 3""^(10)C_(x)`
or `(1)/(11-x) gt (3)/(x) " or " 4x gt 33`
or `x ge 9`
But `x le 10`
` :. x=9,10`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 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(|cosx|+cosx)) is

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

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

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

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

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

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

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

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+...

    Text Solution

    |

  2. If f(x) = cos(log x) then f(x)f(y)-1/2[f(x/y)+f(xy)] has the value

    Text Solution

    |

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

    Text Solution

    |

  4. The domain of the function f(x)=(sin^(-1)(3-x))/(I n(|x|-2)i s (a) [2...

    Text Solution

    |

  5. The domain of f(x)=((log)2(x+3))/(x^2+3x+2) is (a) R-{-1,2} (b) (-2,o...

    Text Solution

    |

  6. The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the gre...

    Text Solution

    |

  7. The domain of the function f(x)=(log)(3+x)(x^2-1) is (-3,-1)uu(1,oo) ...

    Text Solution

    |

  8. Domain of the function, f(x)=[log10 ((5x-x^2)/4)]^(1/2) is

    Text Solution

    |

  9. The domain of f(x)=log|logx| is

    Text Solution

    |

  10. If x^3f(x)=sqrt(1+cos2x)+|f(x)|, (-3pi)/4ltxlt(-pi) /2 and f(x)=(alpha...

    Text Solution

    |

  11. The function f(x)=(sec^(-1)x)/(sqrt(x-[x]), where [x] denotes the grea...

    Text Solution

    |

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

    Text Solution

    |

  13. The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a)[-2,6] ...

    Text Solution

    |

  14. The domain of the function f(x)=sqrt(log(1/(|sinx|))) R-{-pi,pi} (b)...

    Text Solution

    |

  15. Domain of definition of the function f(x) = log2 (-log(1/2) (1+x^(-4))...

    Text Solution

    |

  16. The number of real solutions of the (log)(0. 5)|x|=2|x| is (a) 1 (b) ...

    Text Solution

    |

  17. Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

    Text Solution

    |

  18. The domain of the function f(x)=sqrt(1n((|x|-1))(x^2+4x+4)) is (-3,-1...

    Text Solution

    |

  19. The domain of f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c), where a >0, b^2-4ac=0,...

    Text Solution

    |

  20. The domain of the function f(x)=1/(sqrt(4x-|x^2-10 x+9|)) is (a)(7...

    Text Solution

    |