Home
Class 11
MATHS
The term independent of x in (2x-1/(3x))...

The term independent of x in `(2x-1/(3x))^6` is :

A

`160/9`

B

`80/9`

C

`160/27`

D

`80/3`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|221 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

Similar Questions

Explore conceptually related problems

The coefficient of the term independent of x in (2x-3/x)^6 is :

The term independent of x in expansion of ((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))^10 is (1) 120 (2) 210 (3) 310 (4) 4

Find the coefficient of (A) x^9 (B) the term independent of x in the expansion of (x^2 - 1/(3x))^9 .

find the term independent of x in the expansion of (2x-1/x)^2 ?

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

Find the term independent of x in the expansion of (x^2+1/x)^9 .

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

Find the term independent of x in the expansion of: (2x+3/x^2)^9 .

Write and simplify the coefficient of the term independent of x, in the expansion of (x^3-1/x)^12, x ne 0 .

MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. If x=1/3, then the greatest term in the expansion of (1+4x)^8 is the :

    Text Solution

    |

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

    Text Solution

    |

  3. The term independent of x in (2x-1/(3x))^6 is :

    Text Solution

    |

  4. The coefficient of the term independent of x in (2x-3/x)^6 is :

    Text Solution

    |

  5. The fourth term in the binomial expansion of (x^2-1/x^3)^n is independ...

    Text Solution

    |

  6. In a binomial expansion (1 + x)^n is a positive integer, the coefficie...

    Text Solution

    |

  7. If the three consecutive coefficients in the expansion of (1 + x)^n ar...

    Text Solution

    |

  8. Let (1 + x)^n= C0+C1x+C2x^2+.....+Cn x^n and C1/C0+2 C2/C1+3 C3/C2+......

    Text Solution

    |

  9. In the expansion of (x +a)^n, the sums of the odd and the even terms a...

    Text Solution

    |

  10. The 5th term from the end in the expansion of (x^3/2-2/x)^12 is :

    Text Solution

    |

  11. In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...

    Text Solution

    |

  12. The value of C (47, 4) + underset (r=1) overset (5) sum (52-r,3) is:

    Text Solution

    |

  13. 7^9+9^7 is divisible by :

    Text Solution

    |

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

    Text Solution

    |

  15. Product of any r consecutive natural numbers is always divisible by :

    Text Solution

    |

  16. If C0,C1,C2,........, Cn denote the coefficients in the expansion of (...

    Text Solution

    |

  17. A polygon has 44 diagonals. The number of the sides is :

    Text Solution

    |

  18. Find 'a' if the coefficients of x^(2) and x^(3) in the expanion of (3 ...

    Text Solution

    |

  19. Using binomial theorem. the value of (0.999)^3,correct to 3 decimal pl...

    Text Solution

    |

  20. The coefficient of x^n, where n is any positive integer, in the expans...

    Text Solution

    |