Home
Class 11
MATHS
If the sum of the coefficients in the ex...

If the sum of the coefficients in the expansion of `(a+b)^(n)` is `4096`, then the greatest coefficient in the expansion 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

If the sum of coefficients in the expansion of (x-2y+3z)^n is 128, then find the greatest coefficient in the expansion of (1+x)^ndot

The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

The sum of the coefficients in the expansion of (1-2x+2x^2)^(2014) is

If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa and if the sum of the coefficients in the expansion of (1+x^2)^n is b , then a. a=3b b. a=b^3 c. b=a^3 d. none of these

Coefficient of x^n in the expansion of (a+x)^(2n)

The sum of the coefficients in the expansion of (1+x- 3x ^(2))^(100) is-

Coefficient of x^n in the expansion of (1+x)^(2n) is

If the sum of coefficient of first half terms in the expansion of (x+y)^n is 256 , then find the greatest coefficient in the expansion.

If the coefficient of 4th term in the expansion of (a+b)^n is 56, then n is

The coefficient of x^(m) in the expansion of (1+x)^(m+n) is -

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

    Text Solution

    |

  2. Maximum sum of coefficient in the expansion of (1-xsintheta+x^2)^n is

    Text Solution

    |

  3. If the sum of the coefficients in the expansion of (a+b)^(n) is 4096, ...

    Text Solution

    |

  4. The number of distinct terms in the expansion of (x+1/x+x^2+1/(x^2))^(...

    Text Solution

    |

  5. The sum of the coefficients of even power of x in the expansion of (1+...

    Text Solution

    |

  6. Second term of a GP is 6 and its 5th term is 9th time of its 3rd term....

    Text Solution

    |

  7. The 4th term and the 9th term of a GP is 54 and 13122 respectively. Fi...

    Text Solution

    |

  8. If a,b,c are in GP Then prove that, loga ,logb , logc are in AP.

    Text Solution

    |

  9. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

    Text Solution

    |

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

    Text Solution

    |

  11. If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expan...

    Text Solution

    |

  12. If the three consecutive coefficients in the expansion of (1+x)^n are...

    Text Solution

    |

  13. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

    Text Solution

    |

  14. Least positive integer just greater than (1+0.00002)^(50000) is "".

    Text Solution

    |

  15. If U(n) = (sqrt(3) + 1)^(2n) +(sqrt(3) - 1)^(2n), then prove that ...

    Text Solution

    |

  16. Prove that the coefficient of x^(n) in the expansion of (1)/((1-x)(1-2...

    Text Solution

    |

  17. The value of (30,0)(30,10)-(30,1)(30,11)+(30,2)(30,12)-........+(30,20...

    Text Solution

    |

  18. If a, b, c are in AP, a, x, b are in GP , where as b, y and c also in...

    Text Solution

    |

  19. Prove that 1/(m !).^n C0+n/((m+1)!).^n C1+(n(n-1))/((m+2)!).^n C2+.......

    Text Solution

    |

  20. If n=12 m(m in N), prove that .^n C0-(.^n C2)/((2+sqrt(3))^2)+(.^n C...

    Text Solution

    |