Home
Class 11
MATHS
Let n be a natural number. Then the rang...

Let n be a natural number. Then the range of the function `f(n)=^(8-n)P_(n-4), 4lenle6`, is

A

{1, 2, 3, 4}

B

{1, 2, 3, 4, 5, 6}

C

{1, 2, 3}

D

{1, 2, 3, 4, 5}

Text Solution

Verified by Experts

The correct Answer is:
C
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

Let n be a natural number such that n gt 4 and U_(n) =sin ^(n) x+ cos ^(n)x. Then which of the following is correct ?

A function f from the set of natural numbers N to the set of integers Z is defined by f(n)={((n-1)/(2),"when n is odd"),(-(n)/(2),"when n is even"):} Then f(n) is -

Let n be an odd natural number greater than 1. Then , find the number of zeros at the end of the sum 99^n+1.

Consider the numbers of the form 4^n where n is a natural number. Check whether there is any value of n for which 4^n ends with zero?

Let S = {(a,b,c) in N xx N xx N : a+b+c=21, a le ble c} and T = {(a,b,c) in N xx N xx N : a,b,c are in A.P} where N is the set of all natural numbers . Then the numbers of elements in the set S cap T is

Let N be the set of natural numbers. Define a real valued function f: N to n by f(x)=2x+1. Using this defination, complete the table given below,

If pN={px:x is a natural number} then 4N cap 10N is equal to

Let N be the set of natural numbers and two functions f and g be defined as f, g : N to N such that : f(n)={((n+1)/(2),"if n is odd"),((n)/(2),"if n is even"):}and g(n)=n-(-1)^(n) . The fog is :

Find the value of n such that ""^(n)P_(5)=42""^(n)P_(3), n gt 4

If in the binomial expansion of (a+x) ^(n) where n is a natural number, the coefficients of 5 th, 6 th and 7 th terms are in A.P., then n is equal to-

PATHFINDER-FUNCTION-QUESTION BANK
  1. The domain of the function f(x)=sin^(-1) frac1|x^2-1|+1/sqrt(sin^2x+si...

    Text Solution

    |

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

    Text Solution

    |

  3. Let n be a natural number. Then the range of the function f(n)=^(8-n)P...

    Text Solution

    |

  4. If x^2+y^2+z^2=1, then xy + yz + zx lies in

    Text Solution

    |

  5. The range of the function f(x)=sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

    Text Solution

    |

  6. The range of the function f(x)=sqrt(3x^2-4x+5) is

    Text Solution

    |

  7. If the graph of the function f(x)=(a^x-1)/(x^n(a^x+1)) is symmetric ab...

    Text Solution

    |

  8. If the graph of the function f(x) is symmetrical about x = 20 then

    Text Solution

    |

  9. If f is even function defined on the interval (-5, 5), then real value...

    Text Solution

    |

  10. Which of the following function is even function

    Text Solution

    |

  11. If f(x) and g(x) be two given function with all real numbers as their ...

    Text Solution

    |

  12. Period of f(x)=[x]+[x+1/3]+[x+2/3]-3x+10, where [.] denotes the greate...

    Text Solution

    |

  13. The function f(x)=1/2{|sin x|/cos x +sin x/|cos x|} is periodic with p...

    Text Solution

    |

  14. The value of n in 1, for which the function f(x)=(sin nx)/(sin frac xn...

    Text Solution

    |

  15. If f(x) = is an odd periodic function with period 2, then f(4) equals

    Text Solution

    |

  16. Period of f(x)=cos2pi{x} is , where {x} denote the fractional part of ...

    Text Solution

    |

  17. The period of sin((pi{x})/12)+cos((pi x)/8)+tan((pi{x})/3)

    Text Solution

    |

  18. Let f : (4, 6)to(6, 8) be a function defined by f(x) x+[x/2] (where [....

    Text Solution

    |

  19. The value of b and c for which the identity f(x+1)-f(x)=8x+3 is satisf...

    Text Solution

    |

  20. If f(x)=sin sqrt([a])x, (where [.] denotes the greatest integer functi...

    Text Solution

    |