Home
Class 12
MATHS
The greatest coefficient in the expansio...

The greatest coefficient in the expansion of
`(1+x)^(24)` is

A

`24 C_(13) `

B

`24 C_(11) `

C

`24 C_(24) `

D

`24 C_(12) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|221 Videos

  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

Similar Questions

Explore conceptually related problems

The greatest coefficient in the expansion of (1+x)^(2n+2) is:

The greatest coefficient in the expansion of (1+x)^(2n) is

The greatest coefficient in the expansion of (1+x)^(10) is

The sum of the last eight coefficients in the expansion of (1+x)^(15) is

The sum of the coefficients in the expansion of (1-x)^(10) is

If the sum of the coefficients in the expansion of (x+y)^(n) is 4096, then the greatest coefficient in the expansion is

The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) is equal to sum of the coefficients in the expansion of (x-a y)^(35) , then a=

Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+x)^(2n-1) .

The sum of the coefficients in the expansion of (1+x-3 x^(2))^(171) is

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The largest term in the expansion of (3+2x)^(50) where x=1/5 is:

    Text Solution

    |

  2. The numerically greatest term of (2 x-3 y)^(12) when x=1 and y=(5...

    Text Solution

    |

  3. The greatest coefficient in the expansion of (1+x)^(24) is

    Text Solution

    |

  4. If A is the sum of the odd terms and B is the sum of even terms in the...

    Text Solution

    |

  5. The number of terms in the expansion (1+x)^(101)(1-x+x^(2))^(100) is

    Text Solution

    |

  6. The number of terms in the expansion of (1+3 x+3 x^(2)+x^(3))^(7) is

    Text Solution

    |

  7. The total number of terms in the expansion of (x+y)^(150)+(x-y)^(150...

    Text Solution

    |

  8. If the coefficient of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, th...

    Text Solution

    |

  9. If (1+alphax)^(n)=1+8x+24x^(2)+ . . ., then the value of alpha and n i...

    Text Solution

    |

  10. The coefficients of (2 r+4)^(th) and (r-2)^(th) terms in the expansion...

    Text Solution

    |

  11. If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(10) con...

    Text Solution

    |

  12. The coefficient of x^(17) in (x-1)(x-2)(x-3). . . (x-18) is:

    Text Solution

    |

  13. The value of x for which the sixth term in the expansion of [2^(log(...

    Text Solution

    |

  14. If in the expansion of (a+x)^(n),P and Q represent the sum of odd and ...

    Text Solution

    |

  15. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...

    Text Solution

    |

  16. If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x)...

    Text Solution

    |

  17. The sum (1)/(2)""^(10)C(0)-""^(10)C(1)+2.""^(10)C(2)-2^(2)*""^(10)C(3)...

    Text Solution

    |

  18. The value of: ""^(15)C(0)^(2)-""^(15)C(1)^(2)+""^(15)C(2)^(2)- . . ....

    Text Solution

    |

  19. If the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has 13t...

    Text Solution

    |

  20. The fourth term in the binomial expansion of (x^(2)+(2)/(x^(2)))^(n)...

    Text Solution

    |