Home
Class 12
MATHS
The middle term in the expansion of (x +...

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

A

`""^(2n)C_n`

B

`""^(2n)C_nx `

C

`(""^(2n)C_n)/(x)`

D

`""^(2n)C_(n-1)x `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.1 (Level - 1) |52 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.2 (Level - 1) |19 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - II|109 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

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

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

If 'a' is the coefficient of the middle term in the expansion of (1 + x)^(2n) and b,c are the coefficients of two middle terms in the expansion of (1 + x)^(2n -1) then

The middle term in the expansion of (x+(1)/(x))^10 is

The coefficient of the middle term in the expansion of (1+x)^40 is

If the middle term of the expansion of (1+x)^(2n) is the greatest term then prove that x lies between (n)/(n+ 1)" and " (n+ 1)/(n)

Middle term in the expansion of (2x-(3)/(x))^15 is

If 'a' the middle term in the expansion of (2x - 3y)^(8) and b,c are the middle terms in the expansion of (3x +4y)^(7) , then the value of (b +c)/(a) , when x = 2 and y = 3 , is

AAKASH SERIES-BINOMIAL THEOREM-PRACTICE EXERCISE
  1. The middle term in the expansion of (x + 1/x)^(2n) is

    Text Solution

    |

  2. If the first three terms in the binomial expansion of (1+bx)^n in asce...

    Text Solution

    |

  3. If the first three terms in the expansion of (1 -ax)^n where n is a po...

    Text Solution

    |

  4. In the expansion of ((x^2)/(2) - (2)/(x^2))^8, the third term from the...

    Text Solution

    |

  5. The third term in the expansion of (1/x + x ^[log10 x])^5 is 10^6 then...

    Text Solution

    |

  6. The numerically greatest term in the expansion (5x - 6y)^14 when x = 2...

    Text Solution

    |

  7. The no. of terms in (x + sqrt(x^2 - 1))^6 + (x -sqrt(x^2 - 1))^6

    Text Solution

    |

  8. No. of distinct terms in (x + y - z)^16 is

    Text Solution

    |

  9. No. of distinct terms in (a+b+c+d)^n , n in N is

    Text Solution

    |

  10. If the coefficient of (2r + 4)^(th) term and (r - 2)^(th) term in the ...

    Text Solution

    |

  11. The number of integral terms in the expansion of (sqrt2 + root(4)(3))^...

    Text Solution

    |

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

    Text Solution

    |

  13. If 5th term of the expansion (root(3)(x) - 1/x)^n is independent of x ...

    Text Solution

    |

  14. Term independent of x in (1+4x)^p (1+(1)/(4x) )^q is :

    Text Solution

    |

  15. Term independent of x in (x - 1/x)^4 (x + 1/x)^3 is

    Text Solution

    |

  16. The sum of the binomial coefficients of the 3rd, 4th terms from the be...

    Text Solution

    |

  17. If the sum of odd terms and the sum of even terms in the expansion of ...

    Text Solution

    |

  18. If the sum of odd terms and the sum of even terms in (x + a)^n are p a...

    Text Solution

    |

  19. If A and B are coefficients of x^(n) in the expansion of (1+x)^(2n) an...

    Text Solution

    |

  20. The coefficient of x^(-17) in (x^4 - (1)/(x^3))^15 is

    Text Solution

    |