Home
Class 12
MATHS
In the expansion of (2x-(x^(2))/4)^(9) t...

In the expansion of `(2x-(x^(2))/4)^(9)` the sum of two middle terms is

A

`63/32x^(14)(x+8)`

B

`63/32x^(14)(x-8)`

C

`63/32x^(13)(x-8)`

D

`63/32x^(13)(8-x)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If sum of middle terms is S in the expansion of (2a-(a^(2))/(4))^(9) then the value(s) of s is/are

Find the 13 th term in the expansion of (9x-(1)/(3sqrt(x)))^(18) Find the middle terms in the expansions:

In the expansion of [2-2x+x^(2)]^(9)(A) Number of distinct terms is 10(C) sum of coefficients is 1(B) Number of distinct terms is 55 (D) coefficient of x^(4) is 97

If r^(th) term is the middle term in the expansion of (x^(2)-(1)/(2x))^(20), then (r+3)^(th) term is

If the middle term in the expansion of ((x)/(2)+2)^(8) is 1120, then the sum of possible real values of x is.

Suppose the coefficient of the middle term in the expansion of (1 + x)^(2n) is A and the coefficients of two middle terms in the expansion of (1 + x)^(2n-1) are B and C, then A/(B+C)= _________

The ratio of the coefficient of the middle term in the expansion of (1+x)^(20) and the sum of the coefficients of two middle terms in expansion of (1+x)^(19) is _____ .

ALLEN-TEST PAPERS-MATHEMATICS
  1. If a be sum of the odd numbered terms and b the sum of even numbered ...

    Text Solution

    |

  2. In the expansion of (2x-(x^(2))/4)^(9) the sum of two middle terms is

    Text Solution

    |

  3. Value of a if 17th and 18 th terms in the expansion of (2+a)^(50) are ...

    Text Solution

    |

  4. In the expansion of (x^2+2x+2)^n, nepsilonN (A) coefficient of x=n.2^n...

    Text Solution

    |

  5. the possible value(s) of positive integer n for which 4^(n)+1 is divis...

    Text Solution

    |

  6. Consider expansion of (1+x)^(200)=a(0)+a(1)x+a(2)x^(2)+………+a(200)x^(20...

    Text Solution

    |

  7. Consider (1+x)^(n+1)=A(0)+A(1)x+A(2)x^(2)+………………+A(n+1)x^(n+1) and a...

    Text Solution

    |

  8. If (1+x-3x^2)^2145 = a0+a1 x+a2 x^2+... then a0-a1+a2-.. ends with

    Text Solution

    |

  9. Sum of all the digits of the coefficient of x^(5) in the expansion of ...

    Text Solution

    |

  10. If the ratio of the coefficient of x^(10) in (1-x^(2))^(10) and term i...

    Text Solution

    |

  11. In the expansion of (5^(1//2)+7^(1//8))^(1024) if the number of integr...

    Text Solution

    |

  12. If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt...

    Text Solution

    |

  13. If int tan^(5)x dx=Atan^(4)x+Btan^(2)x+g(x)+C, where C is constant of ...

    Text Solution

    |

  14. Let y=(secx+tanx-1)/(tanx-secx+1).If ((dy)/(dx))(x=(pi)/4)=a+sqrt(b), ...

    Text Solution

    |

  15. Let T(n) and S(n) be the nth term and sum of first n tems of a series ...

    Text Solution

    |

  16. If alpha and beta are the roots of x^(2)+4x+6=0 and N=1/((alpha)/(beta...

    Text Solution

    |

  17. If roots of 2(x-a)(x+b)+c=0 are alpha and beta roots of (x-alpha)(x-be...

    Text Solution

    |

  18. If T(n) and t(n) be the nth term of two AP's respectively and the rati...

    Text Solution

    |

  19. Suppose a and b are integers such that x^(2)+ax+b+1=0 has positive int...

    Text Solution

    |

  20. If f'(x^(2))=(ln x)/(x^(2)) and f(1)=-1/4 then which of the following ...

    Text Solution

    |