Home
Class 12
MATHS
If n is an integer greater than 1, then ...

If n is an integer greater than 1, then the value of `a-""^(n)c_(1)(a-1)+""^(n)c_(2)(a-2)+….+(-1)^(n)(a-n)` is

A

`a^(n)`

B

`(-a)^(n)`

C

0

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS (2011)

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QUESTIONS|10 Videos
  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If n be a positive integer greater than 1, prove that (frac(n+1)(2))^n > n

The value of (""^(n) C_(1)+2. ""^(n) C_(2)+3. ""^(n)C_(3)+…+ n""^(n)C_(n)) is-

If n be any integer, then n(n+1) (2n+1) is-

The value of .^(n)C_(1)+.^(n+1)C_(2)+.^(n+2)C_(3)+"….."+.^(n+m-1)C_(m) is equal to

The sum of the series 1+(1)/(2)""^(n)C_(1)+(1)/(3)""^(n)C_(2)+…+(1)/(n+1)""^(n)C_(n) is equal to-

Let a=3^(1//224)+1 and for all n ge 3 , let f(n)=""^(n)C_(0)a^(n-1)-""^(n)C_(1)a^(n-2)+""^(n)C_(2)a^(n-3)+...+(-1)^(n-1)*""^(n)C_(n-1)*a^(0). If the value of f(2016)+f(2017)= 3^(k) , the value of K is

Find the value of (1+x)^(n)+^(n)C_(1)(1+x)^(n-1).(1-x)+^(n)C_(2)(1+x)^(n-2)(1-x)^(2)+.....+(1-x)^(n)

Show that .^(n)C_(r)+.^(n-1)C_(r-1)+.^(n-1)C_(r-2)=.^(n+1)C_(r) .

If c_(0),c_(1),c_(2)..........c_(n) denote the co-efficients in the expansion of (1+x)^(n) then the value of c_(1)+2c_(2)+3c_(3)+.......+nc_(n) is

The value of (.^(n)C_(0))/(n)+(.^(n)C_(1))/(n+1)+(.^(n)C_(2))/(n+2)+"..."+(.^(n)C_(n))/(2n)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. The letters of the word 'TRIANGLE' are arranged in a row in all possib...

    Text Solution

    |

  2. If in an infinite G.P. series, the first term is 'a' and the sum is 3,...

    Text Solution

    |

  3. If n is an integer greater than 1, then the value of a-""^(n)c(1)(a-1)...

    Text Solution

    |

  4. y=f(x)=x^(2)-x+10 is

    Text Solution

    |

  5. If f(x)=mu x-sin x is strictly increasing then

    Text Solution

    |

  6. If A and B are two square matrices of the same order such that AB = A,...

    Text Solution

    |

  7. If x and a are real, then the value of a for which the expression x^(2...

    Text Solution

    |

  8. The differential equation of the family of parabolas whose vertex is a...

    Text Solution

    |

  9. The solution of (dy)/(dx)=xy+2y subject to the condition y = 1 at x = ...

    Text Solution

    |

  10. The sum of the first 26 odd positive integers is

    Text Solution

    |

  11. If Z(1) and Z(2) are two non-zero complex numbers such that |Z(1)+Z(2)...

    Text Solution

    |

  12. The solution of (d^(2)y)/(dx^(2))-4(dy)/(dx)=0 is

    Text Solution

    |

  13. If the coefficients of 2nd, 3rd and 4th terms of (1+x)^(2n) are in A.P...

    Text Solution

    |

  14. A particle is projected vertically upwards with a velocity of 4900 cm/...

    Text Solution

    |

  15. The value of sin (-300^(@)) is

    Text Solution

    |

  16. The solution of the differential equation (dy)/(dx)=e^(x-y)+1 is

    Text Solution

    |

  17. The area of the region bounded by the curves y=x^(2) and x=y^(2) is

    Text Solution

    |

  18. If f(x)=|x|+|1-x|, -2le x le 3, then the set of points of discontinuit...

    Text Solution

    |

  19. Two cars start moving from the junction point of two perpendicular roa...

    Text Solution

    |

  20. The value of lim(x to 0)(1-cos x)/(x^(2))

    Text Solution

    |