Home
Class 11
MATHS
Find the 8th term in the expansion of (x...

Find the 8th term in the expansion of `(x^(3/2)y^(1/2)-x^(1/2)y^(3/2))^(10)dot`

Text Solution

Verified by Experts

Given as `(x^(3/2) y^(1/2) – x^(1/2) y^(3/2))^10`
Lets consider the `8th` term as `T_8`
Therefore, `T_8 = T_7+1 `
`= 10_(C_7) (x^(3/2) y^(1/2))^(10-7) (-x^(1/2) y^(3/2))^7`
...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|248 Videos

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos

Similar Questions

Explore conceptually related problems

Find the fourth term in the expansion of (1-2x)^(3/2)

Find the 4 th term in the expansion of (1-2x)^((3)/(2))

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

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

Find the 8th term in the expansion of ((2x)/(3)-(3)/(5x))^(12)

Find the 7^(th) term in the expansion of (1-2x)^(7)

Find the 6th term in expansion of (2x^(2)-1/3x^(2))^(10)

Find the 7 th term n the expansion of (3x^(2)-(1)/(x^(3)))^(10)

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find the number of terms in the expansion of (a+b+c)^ndot

    Text Solution

    |

  2. Write last two digits of the number 3^(400)dot

    Text Solution

    |

  3. Find the 8th term in the expansion of (x^(3/2)y^(1/2)-x^(1/2)y^(3/2))^...

    Text Solution

    |

  4. If n is a positive integer, find the coefficient of x^(-1) in the expa...

    Text Solution

    |

  5. Find the sixth term in the expansion (y^(1/2)+x^(1/3))^n , if the bino...

    Text Solution

    |

  6. Which term in the expansion of {(x/sqrty)^ (1/3)+(y/(x)^(1/3))^(1/2)}...

    Text Solution

    |

  7. Find the number of terms in the expansions of the following: (2x-3y)^9

    Text Solution

    |

  8. Find the number of terms in the expansions of the following: (1+3sqrt(...

    Text Solution

    |

  9. Find the number of terms in the expansions of the following: (sqrt(x)+...

    Text Solution

    |

  10. Find the number of terms in the expansions of the following: (3x+y)^8

    Text Solution

    |

  11. Find the number of terms in the expansions of the following: \ (2x+3y-...

    Text Solution

    |

  12. Find the number of terms in the expansions of the following:\ (1+2x+x^...

    Text Solution

    |

  13. Expand (2x-3y)^4 by binomial theorem.

    Text Solution

    |

  14. Using binomial theorem expand (1+x/2-2/x)^4,\ x!=0.

    Text Solution

    |

  15. Find the expansion of (3x^2-2a x+3a^2)^3 using binomial theorem.

    Text Solution

    |

  16. Using binomial theorem, expand (x-1/x)^(6)dot

    Text Solution

    |

  17. Find an approximation of (0. 99)^5 using the first three terms of its ...

    Text Solution

    |

  18. Using binomial theorem compute : (99)^5

    Text Solution

    |

  19. Using binomial theorem compute : (102)^6

    Text Solution

    |

  20. Using binomial theorem compute : (10. 1)^5

    Text Solution

    |