Home
Class 12
MATHS
In the binomial expansion of (a - b)^(n)...

In the binomial expansion of `(a - b)^(n) , n ge 5` , the sum of
the ` 5^(th) and 6^(th)` terms is zero. Then, `a//b` equals

A

`(5)/(n-4)`

B

`(6)/(n-5)`

C

`(n-5)/(6)`

D

`(n-4)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|22 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

In the binomial expansion of (a-b)^(n),n>=5 the sum of the 5 th and 6 th term is zero.Then a/b equals (n-5)/6 b.(n-4)/5 c.n/(n-4)d*6/(n-5)

In the binomial expansion of (a-b)^(n),n>=5 the sum of 5 th and 6 th terms is zero,then (a)/(b) equals (1)(5)/(n-4) (2) (6)/(n-5) (3) (n-5)/(6) (4) (n-4)/(5)

In the binomial expansion (a-b)^n, nge5 the sum of 5th and 6th terms is zero. Then find a/b

If in the expansion of (a-2b)^(n) , the sum of 5^(th) and 6^(th) terms is 0, then th e values of a//b =

If in the binomial expansion of (1+x)^(n) ,the coefficient of 14th,15th and 16th terms are in A.P.,then find n.

If in the expansion of (a+b)^(n) the coefficient of 4^(th) and 13^(th) term are equal.Find the value of n

In the expansion of (1+x)^(n) ,the 5^(th) term is 4 times the 4^(th) term and the 4^(th) term is 6 times the 3^(rd) term,then n=...

ARIHANT MATHS-BIONOMIAL THEOREM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the coefficient of pth, (p+1)thand (p+2)th terms in the expansion ...

    Text Solution

    |

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

    Text Solution

    |

  3. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+ ,a n da1=a2=10...

    Text Solution

    |

  4. In the binomial expansion of (a - b)^(n) , n ge 5 , the sum of the ...

    Text Solution

    |

  5. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

    Text Solution

    |

  6. Statement-1: sum(r =0)^(n) (r +1)""^(n)C(r) = (n +2) 2^(n-1) Stat...

    Text Solution

    |

  7. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

    Text Solution

    |

  8. For r= 0, 1,.....,10, let Ar,Br, and Crdenote, respectively, the coe...

    Text Solution

    |

  9. So, statement-1 is also true. Stetement-2 is a correct expanation fo...

    Text Solution

    |

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

    Text Solution

    |

  11. If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is ...

    Text Solution

    |

  12. In the expansion of ((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))^10 ...

    Text Solution

    |

  13. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  14. If the coefficients of x^(3) and x^(4) in the expansion of (1 + ax + b...

    Text Solution

    |

  15. Coefficient of x^(11) in the expansion of (1+x^2)(1+x^3)^7(1+x^4)^(12)...

    Text Solution

    |

  16. The sum of coefficients in integral powers of x in the binominal expan...

    Text Solution

    |

  17. The coefficient of x^9 in the expansion of (1+x)(16 x^2)(1+x^3)(1+x^(1...

    Text Solution

    |

  18. If the number of terms in the expansion of (1-2/x+4/(x^2))^n , x!=0, i...

    Text Solution

    |

  19. Let m be the smallest positive integer such that the coefficient of x^...

    Text Solution

    |

  20. The value of (.^(21)C(1) - .^(10)C(1)) + (.^(21)C(2) - .^(10)C(2)) + (...

    Text Solution

    |