Home
Class 11
MATHS
If in the expansion of (a-2b)^(n), the s...

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

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

Let n ge 5 b ne0, if in the binomial of (a-b)^(n), the sum of the 5th and 6th terms is zero, then the value of a/b is-

If in the expansion of (1+x)^(n) the coefficient of 2nd, 3rd and 4th terms are in A.P., then the value of n is-

In the binomial expansion of (a-b)^n,ngeq5, the sum of the 5th and 6th term is zero. Then a//b equals (n-5)//6 b. (n-4)//5 c. n//(n-4) d. 6//(n-5)

The 3rd,4th and fifth terms in the expansion of (x+a)^n are 252, 1512, and 5670 respectively. Find the values of x,a & n.

In the expansion of (1+x)^n , 7th and 8th terms are equal. Find the value of ( 7/x +6)^2 .

prove that the coefficient of the (r +1)th term in the expansion of (1+x)^(n) is equal to the sum of the coefficients of the rth and (r+1)th terms in the expansion of (1+x)^(n-1)

If the sum of n terms of an A.P. is 3n^2 + 5n and its m^("th") term is 164, find the value of m .

If the sum of odd numbered terms and the sum of even numbered terms in the expansion of (x+a)^n are A and B respectively . Then the value of (x^2-a^2)^n is

If in the expansion of (1+x)^43 the coefficient of (2r+1)^(th) term in equal to the coefficient of (r+2)^(th) term find r.

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Statement 1: In the expansion of (1+x)^(41)(1-x+x^2)^(40), the coeffic...

    Text Solution

    |

  2. The coefficient of x^(n) in (1+x+(x^(2))/(2!) + (x^(3))/(3!) +"….." + ...

    Text Solution

    |

  3. Evaluate the following .^3C2

    Text Solution

    |

  4. Evaluate .^5C2

    Text Solution

    |

  5. The value of sum(r=0)^(10)r""^(10)C(r)3^(r)(-2)^(10-r) is (a) 20 (b) 1...

    Text Solution

    |

  6. Find n if n P1=2

    Text Solution

    |

  7. Evaluate .^5P2

    Text Solution

    |

  8. The value of (.^(n)C(0))/(n)+(.^(n)C(1))/(n+1)+(.^(n)C(2))/(n+2)+"..."...

    Text Solution

    |

  9. The value of .^(20)C(0)+.^(20)C(1)+.^(20)C(2)+.^(20)C(3)+.^(20)C(4)+.^...

    Text Solution

    |

  10. If (3+x^(2008)+x^(2009))^(2010)=a0+a1x^2+....+anx^n, a0-1/2 a1-1/2 a2+...

    Text Solution

    |

  11. Find the seventh term of the G.P: 1, √3, 3, 3 √3, …..

    Text Solution

    |

  12. Find the 10th term of the G.P. : 12, 4, 1 1/3,....

    Text Solution

    |

  13. If (1+x)^(n) = C(0) +C(1)x+C(2)x^(2) + "….." + C(n)x^(n), then C(0)C(2...

    Text Solution

    |

  14. The value of (lim)(n->oo)sum(r=1)^(n)(sum(t=0)^(r-1)1/(5^n).^n Cr.^r C...

    Text Solution

    |

  15. If n gt 2, then prove that C(1)(a-1) - C(2) xx (a-2) + "….." + (-1)^(...

    Text Solution

    |

  16. Find the nth term of the series: 1, 2, 4, 8, ……

    Text Solution

    |

  17. The remainder, if 1+2+2^2+2^3+....+2^1999 in divided by 5 is

    Text Solution

    |

  18. Largest real value for x such that underset(k=0)overset(4)sum((3^(4-k)...

    Text Solution

    |

  19. If in the expansion of (a-2b)^(n), the sum of 5^(th) and 6^(th) terms ...

    Text Solution

    |

  20. The number of real negative terms in the binomial expansion of (1+ix)^...

    Text Solution

    |