Home
Class 11
MATHS
The coefficient of the middle term in th...

The coefficient of the middle term in the binomial expansion in powers of x of `(1+ alpha x)^4` and of `(1-alpha x)^6` is the same, if `alpha` equals :

A

`-5/3`

B

`10/3`

C

`-3/10`

D

`3/5`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|221 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

Similar Questions

Explore conceptually related problems

The coefficient of the middle term in the expansion of (x+2y)^(6) is

Write the middle term in the expansion of (x+1/x)^4 .

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

Write the middle term in the expansion of (2x^2-1/x)^10 .

The sum of coefficient of integral powers of x in the binomial expansion of (1-2sqrt(x))^(50) is

Write the middle term in the expansion of : (x-1/(2y))^10 .

Find the coefficient of the term involving x^2 in the expansion of (3x-1/x)^6 .

The fourth term in the binomial expansion of (x^2-1/x^3)^n is independent of x, when n is equal to:

If the middle term in the expansion (x^(2)+1//x)^(n) is 924 x^(6) , then find the value of n.

If ac lt b^2 then the sum of the coefficient in the expansion of (a alpha^2 x^2+ 2b alpha x+c)^n is (a, b,c, alpha in R and n in N)

MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. How many ways are there to arrange the letters in me word ‘GARDEN’ wit...

    Text Solution

    |

  2. If ^n-1Cr=(k^2-3)^n C(r+1),then k in

    Text Solution

    |

  3. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  4. Thr ciefficient of x^(n-2) in the polynomial (x-1)(x-2)(x-3)"…."(x-n),...

    Text Solution

    |

  5. If the letters of the word SACHIN are arranged in all possible ways ...

    Text Solution

    |

  6. A rectangle with sides (2m-1) and (2n -1) is divided into squares of u...

    Text Solution

    |

  7. The value of ""^50C4+ underset (r=1) overset (6) sum ""^(56-r)C3 is :

    Text Solution

    |

  8. If the coefficient of x^(7) " in " (ax^(2) + (1)/(bx))^(11) is equal ...

    Text Solution

    |

  9. The value of {:((30), (0))((30), (10))-((30), (1))((30),( 11)) +((30),...

    Text Solution

    |

  10. At an election, a voter may vote for any number of candidates not grea...

    Text Solution

    |

  11. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...

    Text Solution

    |

  12. The letters of the word COCHIN are permuted and all the permutations a...

    Text Solution

    |

  13. The sum of series .^(20)C0-^(20)C1+^(20)C2-^(20)C3+....+^(20)C 10 is

    Text Solution

    |

  14. In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...

    Text Solution

    |

  15. How many different words can be formed by jumbling the letters of the ...

    Text Solution

    |

  16. The number of 7-digit integers, with sum of the digits equal to 10 and...

    Text Solution

    |

  17. The remainder left out when 8^(2n) - (62)^(2n +1) is divided by 9 , i...

    Text Solution

    |

  18. From 6 different novels and 5 different dictionaries, 4 novels and 1 d...

    Text Solution

    |

  19. There are two urns. Urn A has 4 distinct red balls and urn B has 5 dis...

    Text Solution

    |

  20. There are 10 points in a plane, out of these 6 are collinear. If N is ...

    Text Solution

    |