Home
Class 11
MATHS
The middle term of the expansion of (4x+...

The middle term of the expansion of `(4x+5y)^18` is

A

a) 9th term

B

b) 10th term

C

c) 11th term

D

d) 12th term

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos
  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

Similar Questions

Explore conceptually related problems

The middle term in the expansion of (2x-3y)^(12) is -

Show that the co-efficient of the middle term of the expansion of (1+x)^12 is equal to the sum of the co-efficient of middle terms of.'the expansion of (1 + x)^11 .

The coefficient of the middle term of the expansion of (1-2x+x^2)^n is

If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum of all real values of x is equal to

The middle term in the expansion of (x/2+2)^8 is 1120, then x in R is equal to a. -2 b. 3 c. -3 d. 2

Prove that the coefficient of the middle term in the expansion of (1+x)^(12) is equal to the sum of the coeffcients of the two middle terms in the expansion of (1+x)^(11)

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

If the middle term in the expansion of (x/2+2)^8 is 1120, then find the sum of possible real values of x .

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

Find the middle terms in the expansions of (x/3 + 9Y)^10 .

PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
  1. The coefficient of the middle term of the expansion of (1-2x+x^2)^n is

    Text Solution

    |

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

    Text Solution

    |

  3. The middle term of the expansion of (4x+5y)^18 is

    Text Solution

    |

  4. The value of (^8C1+^8C2+^8C3+....+^8C8) is

    Text Solution

    |

  5. The value upto 3 decimal place of (0.999)^3 is (applying Binomial Theo...

    Text Solution

    |

  6. Find the 10th term of (2x^2+1/x)^12.

    Text Solution

    |

  7. If rth term in the expansion of (x+1/x)^10 is independent of x, then f...

    Text Solution

    |

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

    Text Solution

    |

  9. find the value of (99)^4.

    Text Solution

    |

  10. Find a, if 17th and 18th terms in the expansions of (2+a)^50 are equal...

    Text Solution

    |

  11. If the 3rd term in the expansion of (1/x+x^(log(10)x))^5 is 1000, then...

    Text Solution

    |

  12. Determine the constant term in the expansion of (x^3-1/x^2)^15.

    Text Solution

    |

  13. Find the coefficient of x^20 in the expression of (1+x^2)^40(x^2+2+1/x...

    Text Solution

    |

  14. Find the term independent of x in the expansion of (sqrtx+1/(3x^2))^10...

    Text Solution

    |

  15. Find the coefficient of x in (1-2x^3+3x^5)(1+x+1/x)^10.

    Text Solution

    |

  16. In the expansion of (1+x)^(m+n), where m & n are +ve integers, prove t...

    Text Solution

    |

  17. Determine the term independent of x in the expansion of (3x^2-1/(2x^3)...

    Text Solution

    |

  18. Find the coefficient of x^5 in the expression of (1+x^2)^5(1+x)^4.

    Text Solution

    |

  19. Which term in the expansion of (1+x)^p(1+1/x)^q is independent of x, w...

    Text Solution

    |

  20. Determine the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n.

    Text Solution

    |