Home
Class 12
MATHS
The middle term in the expansion of (x/3...

The middle term in the expansion of `(x/3-2/sqrt(x))^(6)` is

A

`(-160)/27x^(3/2)`

B

`20/27x^(3)`

C

`80/3`

D

`(-120)/27x^(1/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (LAB Work )|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

Similar Questions

Explore conceptually related problems

The coefficient of the middle term in the expansion of (x + 2y)^(6) is

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

Find the middle terms in the expansion of (2x + y)^(7)

Find the middle term in the expansion of (x^2+1/(x^2)+2)^ndot

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

Find the middle term in the expansion of (x+y)^(6) .

If the middle term in the expansion of (x^2+1//x)^n is 924 x^6, then find the value of ndot

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. If |x| lt 1, then the coefficient of x^(5) in the expansion of (1+ 2x ...

    Text Solution

    |

  2. The coefficient of x^(n) in the expansion of (1 - 9x + 20x^(2))^(-1) i...

    Text Solution

    |

  3. The middle term in the expansion of (x/3-2/sqrt(x))^(6) is

    Text Solution

    |

  4. The number of terms in the expansion of (1 + 5sqrt(2)x)^(9) + (1 - 5sq...

    Text Solution

    |

  5. The number of terms in the expansion of (x + a)^(100) + (x - a)^(100) ...

    Text Solution

    |

  6. If the 21^(st) and 22^(nd) terms in the expansion of (1 + x)^(44) are ...

    Text Solution

    |

  7. In the expansion of (1 + x)^(50) the sum of the coefficients of the od...

    Text Solution

    |

  8. If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n)...

    Text Solution

    |

  9. If (1 - x)^(n) = C(0) + C(1)x + C(2)x^(2) + ......... + C(n)x^(n), the...

    Text Solution

    |

  10. The value of C(n, 0) - C(n, 1) + C(n, 2) - C(n, 3) +.......+(-1)^(n)C(...

    Text Solution

    |

  11. C(1) + 4.C(2) + 7.C(3) +......+(3n - 2).C(n) =

    Text Solution

    |

  12. When x is large sqrt(1 + x^(2)) is nearly equal to

    Text Solution

    |

  13. When x is small, sqrt(1 + 2^(x)) is nearly equal to

    Text Solution

    |

  14. The value of (1.01)^(-2) correct to two decimal place is

    Text Solution

    |

  15. Find the value of e^(2), rounded off to one decimal place.

    Text Solution

    |

  16. If the coefficient of the 2^(nd),3^(rd) and 4^(th) terms in the expans...

    Text Solution

    |

  17. The remainder when 5^(99) is divided by 13 is

    Text Solution

    |

  18. The number of intergral terms in the expansion of (3^(1/2) + 5^(1/3))^...

    Text Solution

    |

  19. The value of (18^(3) + 7^(3) + 3.18.7.25)/(3^(6) + 6(243)2 + 15(81)4 +...

    Text Solution

    |

  20. The term independent of x in the expansion of (x^(2) - 1/(3x))^(9) is ...

    Text Solution

    |