Home
Class 11
MATHS
The coefficient of the term independent ...

The coefficient of 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)` is

A

210

B

105

C

70

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos
  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

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

The term independent of x in the expansion of (x+(1)/(x))^(10) is -

Find the term independent of x of the expansion of (1+x)^3(x-1/x)^6

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

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

Find the term inedpendent of X in the expansion of (1+x)^3(1-1/x)^6

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

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

Find the term independent of x in the expansion of [(t^(-1)-1)x+(t^(-1)+1)^(-1)x^(-1)]^8

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

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. The value of the sum of the series 3cdot^nC0+8cdot^nC1+13cdot^nC2-18cd...

    Text Solution

    |

  2. For natural numbers m, n if (1-y)^m(1+y)^n=1+a1y+a2y^2+.... and a1=a2=...

    Text Solution

    |

  3. The coefficient of the term independent of x in the expansion of [((x+...

    Text Solution

    |

  4. The coefficient of a^3b^4c in the expansion of (1+a-b+c)^9 is equal to

    Text Solution

    |

  5. The remainder when 9^(103) is divided by 25 is equal to

    Text Solution

    |

  6. If (3+x^(2008)+x^(2009))^(2010)=a0+a1x^2+....+anx^n, a0-1/2 a1-1/2 a2+...

    Text Solution

    |

  7. The coefficient of x^ny^n in the expansion of {(1+x)(1+y)(x+y)}^n is

    Text Solution

    |

  8. The remainder when x=5^(5^(5^(......))) (23 times 5) is divided by 24 ...

    Text Solution

    |

  9. For integer n gt 1, the digit at units place in the number sum(r=0)^(1...

    Text Solution

    |

  10. In the expansion of (1+x+x^2+x^3)^6, the coefficient of x^(14) is

    Text Solution

    |

  11. The coefficient of x^(3l+2) in the expression (a+x)^l(b+x)^(l+1)(c+x)^...

    Text Solution

    |

  12. The interval in which x must lie so that greatest term in the expansio...

    Text Solution

    |

  13. The digit in the unit place in the number (19)^(2005)+(11)^(2005)-(9)^...

    Text Solution

    |

  14. If n lt p lt 2n and p is prime and N = .^(2n)Cn, then

    Text Solution

    |

  15. If absx lt 2/3 then the 4^(th) term in the expansion of (1+3/2x)^(1/2)...

    Text Solution

    |

  16. The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to

    Text Solution

    |

  17. Let f(x)=a0+a1x+a2x^2+.....+anx^n+....and f(x)/(1-x)=b0+b1x+b2x^2+.......

    Text Solution

    |

  18. If (1-x^2)^n=sum(r=0)^narx^r(1-x)^(2n-r), then ar is equal to

    Text Solution

    |

  19. The largest term in the expansion of (3+2x)^50, where x=1/5, is

    Text Solution

    |

  20. The sixth term in the expansion of {2^(log2root(5)(9^(x-1)+7))+1/2^(1/...

    Text Solution

    |