Home
Class 11
MATHS
Find the 4^(t h)term in the expansion o...

Find the `4^(t h)`term in the expansion of `(x-2y)^(12)`.

Text Solution

Verified by Experts

The correct Answer is:
N/a
In the expansion of `(x-2y)^(12)`
Fourth term `T_(3+1) =^(12)C_(3)(x^(12-3)).(-2y)^(3)`
`=(12xx11xx10)/(3xx2xx1)xx(-8x^(9)y^(3))`
`=221xx -8x^(9)y^(3)`
`=-1760x^(9)y^(3)`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exericse|20 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exericse 8.1|28 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

Find the 5th term in the expansion of (1+x^2)^12

Find the 15th term in the expansion of (2y-(x)/(2))^(18)

Find the 15th term in the expansion of (2y-(x)/(2))^(18)

Find the middle term in the expansion of (x/y-y/x)^7

Find the 9th term in the expansion of (x/a-(3a)/(x^2))^(12) .

Find the middle term in the expansion of (x- 1/(2x))^12

(i) Find the 9th term in the expansion of ((x)/(a)-(2a)/(x^(2)))^(12) (ii) Find the 8th term in the expansion of (2x^(2)+(1)/(x))^(12)

Find the 13^(t h) term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

Find the 13^(t h) term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

Find the 2nd term in the expansion of (1+x)^12

NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exericse 8.2
  1. Find the 4^(t h)term in the expansion of (x-2y)^(12).

    Text Solution

    |

  2. Find 13th term in the expansion of (9x-1/(3x))^(18),\ x!=0.

    Text Solution

    |

  3. Find the middle terms in the expansion of (3 - (x^3)/( 6) )^7.

    Text Solution

    |

  4. Find the middle term in the expansion of :\ (x/3+9y)^(10)

    Text Solution

    |

  5. In the binomial expansion of (1+a)^(m+n) , prove that the coefficient ...

    Text Solution

    |

  6. The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...

    Text Solution

    |

  7. The coefficient of x^(n) in the expansion of (1 + x)^(2n) " and " (1 +...

    Text Solution

    |

  8. Find a positive value of m for which the coefficient of x^(2) in the e...

    Text Solution

    |

  9. Find the coefficient of x^5""in(x+3)^8

    Text Solution

    |

  10. Find the coefficient of a^5b^7in(a-2b)^(12)

    Text Solution

    |

  11. Write the general term in the expansion of (x^2-y)^6dot

    Text Solution

    |

  12. Write the general term in the expansion of (x^2-y x)^(12),x!=0

    Text Solution

    |

  13. Find the 4^(t h)term in the expansion of (x-2y)^(12).

    Text Solution

    |

  14. Find the 13^(t h)term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

    Text Solution

    |

  15. Find the middle term in the expansion of (3-(x^(3))/(6))^(7)

    Text Solution

    |

  16. Find the middle term in the expansion of :\ (x/3+9y)^(10)

    Text Solution

    |

  17. In the expansion of (1+a)^(m+n) ,prove that coefficients of a^(m) and ...

    Text Solution

    |

  18. The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...

    Text Solution

    |

  19. prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...

    Text Solution

    |

  20. Find a positive value of m for which the coefficient of x^2 in the ex...

    Text Solution

    |