Home
Class 12
MATHS
In the expansion of ((x+1)/(x^(2//3)-x^(...

In the expansion of `((x+1)/(x^(2//3)-x^(1//3)+1)-(x-1)/(x-x^(1//2)))^(10)`, coefficient of `x^(-10//3)` is

A

`.^(10)C_(9)`

B

`.^(10)C_(3)`

C

`.^(10)C_(8)`

D

`.^(10)C_(5)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

In the expansion of (1+x)^(21)+(1+x)^(22) +…….+(1+x)^(30) , the coefficient of x^(5) is ……..

In the expansion of (x+sqrt(x^(3)-1))^(5)+(x-sqrt(x^(3)-1))^(5) the sum of coefficients of all terms having odd exponent is ……….

Find the derivate of (2)/(x+1)-(x^(2))/(3x-1)

lim_(xrarr1)(x+x^(2)+x^(3)+...+x^(10)-10)/(x-1)

Find the limits : lim_(xto1)[(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]

Integrate the rational functions (x^(3)+x+1)/(x^(2)-1)

The coeficient of (x^(7)y^(3)) in the expansion of (x-y)^(10)- the coefficient of (x^(3)y^(7)) in the expansion of (x-y)^(10) is ………

The constant term in the expansion of (1/2x^(1/3)+x^(-1/5))^(8) is ……….. term .

Solve the equation 10^((x+1)(3x+4))-2*10^((x+1)(x+2))=10^(1-x-x^(2)).

ALLEN -TEST PAPERS-MATHEMATICS
  1. In the expansion of (2x-(x^(2))/4)^(9) the sum of two middle terms is

    Text Solution

    |

  2. Number of rational terms in the expansion of (sqrt(2)+root(4)(3))^(100...

    Text Solution

    |

  3. In the expansion of ((x+1)/(x^(2//3)-x^(1//3)+1)-(x-1)/(x-x^(1//2)))^(...

    Text Solution

    |

  4. Value of a if 17th and 18 th terms in the expansion of (2+a)^(50) are ...

    Text Solution

    |

  5. In the expansion of (x^2+2x+2)^n, nepsilonN (A) coefficient of x=n.2^n...

    Text Solution

    |

  6. If the coefficients of first three terms in the expansion of (sqrt(x)+...

    Text Solution

    |

  7. the possible value(s) of positive integer n for which 4^(n)+1 is divis...

    Text Solution

    |

  8. Which of the following is/are true

    Text Solution

    |

  9. Value of .^(n)C(0)^(2)+3.^(n)C(1)^(2)+5.^(n)C(2)^(2)………….. upto (n+1) ...

    Text Solution

    |

  10. Consider expansion of (1+x)^(200)=a(0)+a(1)x+a(2)x^(2)+………+a(200)x^(20...

    Text Solution

    |

  11. Consider expansion of (1+x)^(200)=a(0)+a(1)x+a(2)x^(2)+………+a(200)x^(20...

    Text Solution

    |

  12. Consider (1+x)^(n+1)=A(0)+A(1)x+A(2)x^(2)+………………+A(n+1)x^(n+1) and a...

    Text Solution

    |

  13. Consider (1+x)^(n+1)=A(0)+A(1)x+A(2)x^(2)+………………+A(n+1)x^(n+1) and a...

    Text Solution

    |

  14. If (1+x-3x^2)^2145 = a0+a1 x+a2 x^2+... then a0-a1+a2-.. ends with

    Text Solution

    |

  15. Sum of all the digits of the coefficient of x^(5) in the expansion of ...

    Text Solution

    |

  16. If the ratio of the coefficient of x^(10) in (1-x^(2))^(10) and term i...

    Text Solution

    |

  17. If the sum sum(k=1)^(2008)k.^(2008)C(k) can be expressed as 2^(m)I whe...

    Text Solution

    |

  18. In the expansion of (5^(1//2)+7^(1//8))^(1024) if the number of integr...

    Text Solution

    |

  19. If sum(r=0)^(10)r.^(10)C(x).3^(4).(-2)^(10-r)=S, then S/10 is equal to

    Text Solution

    |

  20. If f(x) is defined in -1lexle3 in the figure as shown then choose corr...

    Text Solution

    |