Home
Class 12
MATHS
The middle term in the expansioin of (1+...

The middle term in the expansioin of `(1+x)^(2n)` is

A

`.^(2n)c_(n)x^(n)`

B

`.^(2n)c_(n-1)x^(n+1)`

C

`.^(2n)c_(n+1)x^(n-1)`

D

`.^(2n)c_(n-1)x^(n)`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-B)|34 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-C) Objective type question (More than one correct answer)|15 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|20 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

Similar Questions

Explore conceptually related problems

Show that the coefficient of the middle term in the expansion of (1 + x)^(2n) is the sum of the coefficients of two middle terms in the expansion of (1 + x)^(2n-1) .

The middle terms in the expansion of (1+x)^(2n+1) is (are)

If the middle term in the expansion of (1 + x)^(2n) is (1.3.5…(2n - 1))/(n!) k^(n).x^(n) , the value of k is

Show that the middle term in the expansion of (1+ x)^(2n) is (1.3.5…(2n-1) )/( n!). 2^(n) . x^(n) , where n in N .

Prove that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

The middle term in the expansion of (x + 1/x)^(2n) is

Write the coefficient of the middle term in the expansion of (1+x)^(2n) .

If the coefficient of the middle term in the expansion of (1+x)^(2n+2) is alpha and the coefficients of middle terms in the expansion of (1+x)^(2n+1) are beta and gamma then relate alpha, beta and gammadot

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1+x)^(2n-1) .

If the middle term in the expansion of (1+x)^(2n) is the greatest term, then x lies in the interval

AAKASH INSTITUTE ENGLISH-BINOMIAL THEOREM-Assignment (section-A)
  1. In expansion of (x+a)^(5), T(2):T(3)=1:3, then x:a is equal to

    Text Solution

    |

  2. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

    Text Solution

    |

  3. The middle term in the expansioin of (1+x)^(2n) is

    Text Solution

    |

  4. Cofficient of x^(12) in the expansion of (1+x^(2))^50(x+1/x)^(-10)

    Text Solution

    |

  5. The number of terms in expansion of (x^(2)+18x+81)^(15) is

    Text Solution

    |

  6. The term independent of x in the expanion of (root(6)(x)-(2)/(root(3)(...

    Text Solution

    |

  7. The middle terms in the expansion of (1+x)^(2n+1) is (are)

    Text Solution

    |

  8. (1.003)^(4) is nearby equal to

    Text Solution

    |

  9. The nubmber of non - zeroes terns in the expansion of (1+sqrt(5))^(6)+...

    Text Solution

    |

  10. The number of non -zeroes terms in the expansion of (sqrt(7)+1)^(75)-(...

    Text Solution

    |

  11. The number of terms in the expansion if (a+b+c)^(12) is

    Text Solution

    |

  12. Two consecutive terms in the expansion of (3+2x)^74 have equal coeffic...

    Text Solution

    |

  13. If the coefficients of rth, (r+ 1)th and (r + 2)th terms in the expa...

    Text Solution

    |

  14. Cofficient of x^(3)y^(10)z^(5) in expansion of (xy+yz+zx)^(6) is

    Text Solution

    |

  15. The ratio of coefficients x^(3) and x^(4) in the expansion of (1+x)^(1...

    Text Solution

    |

  16. Given the integers r gt 1, n gt 2 and coefficients of (3r) th and (r+2...

    Text Solution

    |

  17. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

    Text Solution

    |

  18. If (r+1)^(th) term in the expasnion of (a^(3)/3-2/a^(2))^(10) contains...

    Text Solution

    |

  19. Find n and x in the expansion of (1 + x)^n, if the fifth term is four ...

    Text Solution

    |

  20. Cofficients of x^(6)y^(3) in the expansion of (x+y)^(9) is

    Text Solution

    |