Home
Class 12
MATHS
The coefficient of x^(-n) in (1+x)^n (1+...

The coefficient of `x^(-n)` in `(1+x)^n (1+(1)/(x))^n` is

A

0

B

1

C

`2^n`

D

`""^(2n) C_n`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (BINOMIAL COEFFICIENTS)|83 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (BINOMIAL THEOREM WITH RATIONAL INDEX)|68 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(n) in (1-2x)/(e^(x)) is

The coefficient of x^(n) in (1)/((1-2x)(1-3x)) is

The coefficient of x^(n) in (x+1)/((x-1)^(2)(x-2)) is

Coefficient of x^(n) in log_(e )(1+(x)/(2)) is

If |x| lt 1 then coefficient of x^(n) in log_(10)(1-x) is

If n is a multiple of 3, then coefficient of x^(n) in log(1+x+x^(2)) is

If p and q are the coefficients of x^n in (1+x)^(2n-1) and (1+x)^(2n) respectively then 2p=

DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The coefficient of x^5 in (1+x^2)^5 (1+x)^4 is

    Text Solution

    |

  2. The coefficient of x^24 in the expansion of (1+x^2)^(12) (1+x^12)(1+x^...

    Text Solution

    |

  3. The coefficient of x^(-n) in (1+x)^n (1+(1)/(x))^n is

    Text Solution

    |

  4. The coefficient of x^n in expansion of (1+x) (1-x)^n is

    Text Solution

    |

  5. The coefficient of a^(-6) b^4 in the expansion of ((1)/(a)-(2b)/(3))^1...

    Text Solution

    |

  6. The coefficient of x^2 y^3 z^4 in (ax-by+cz)^9 is

    Text Solution

    |

  7. In the expansion of (2x+y+3z)^10 , the coefficient of x^2 y^5 z^3 is

    Text Solution

    |

  8. The coefficient of x^5 in (2-x +3x^2)^6 is

    Text Solution

    |

  9. The coefficient of x^4 in (1+x+x^2+x^3)^11 is

    Text Solution

    |

  10. Find the coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6...

    Text Solution

    |

  11. The coefficient of x^4 in the expansion of (1-x+x^2-x^3)^4. Is

    Text Solution

    |

  12. The coefficient of x^53 in sum(r = 0)^(100) ""^100Cr (x - 3)^(100 - r)...

    Text Solution

    |

  13. Which term of (ax+b//x)^14 is independent of x?

    Text Solution

    |

  14. the term independent of x in (x+1//x)^6 is

    Text Solution

    |

  15. If T(r+1) is the term of independent of x in (3x-(5)/(x^3))^8 then r=

    Text Solution

    |

  16. Which term of (sqrt(x//3)+3//2x^2)^10 is independent of x?

    Text Solution

    |

  17. The term independent of x in the expansion of (x^2-(1)/(x))^6 is

    Text Solution

    |

  18. The term independent of x in (ax+(b)/(x))^14 is

    Text Solution

    |

  19. The term of independent of x in (x^2 -(1)/(x))^9 is

    Text Solution

    |

  20. The term independent of x in (2x^(1//2)-3x^(-1//3))^20

    Text Solution

    |