Home
Class 12
MATHS
The term independent of 'x' in the expan...

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)` ,where `x in0` , 1 is equal to_______.

A

4

B

120

C

210

D

310

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Matching Entries) |3 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

Similar Questions

Explore conceptually related problems

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

The term independent of x in the expansion of (2x+1/(3x))^(6) is

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), x ne 1 is equal to...........

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

ML KHANNA-BINOMIAL THEOREM AND MATHEMATICAL INDUCTION -Self Assessment Test
  1. Find the coefficient of x^5 in the expansion of (1+x^2)^5dot(1+x)^4i s...

    Text Solution

    |

  2. Consider the expansion of ( 1+ x)^(2n+1) The coefficient of x^(99) ...

    Text Solution

    |

  3. If the coefficient of x^(7) in (ax^(2)+(1)/(bx))^(11) is equal to the ...

    Text Solution

    |

  4. The sum of the coefficeints of the polynominal (1 + x - 3x^(2))^(2163)...

    Text Solution

    |

  5. Sum of coefficients in the expansion of (x+2y+z)^(10) is

    Text Solution

    |

  6. The number of terms in the expansion of (x + y + x)^(10), is

    Text Solution

    |

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

    Text Solution

    |

  8. The coefficient of middle term in the expansion of (1+x)^(10) is

    Text Solution

    |

  9. Coefficient of 1/x in the expansion of (1 + x)^(n) (1 + 1//x)^(n) is

    Text Solution

    |

  10. The coefficient of x^(4) in ((x)/(2)-(3)/(x^(2)))^(10) is :

    Text Solution

    |

  11. The coefficient of y in the expansion of (y^(2) + c//y)^(5) is

    Text Solution

    |

  12. If pa n dq are ositive, then prove that the coefficients of x^pa n dx^...

    Text Solution

    |

  13. Given positive integers r >1,n >2 and that the coefficient of (3r d)t ...

    Text Solution

    |

  14. The term independent of x in (x^(2)-(1)/(x))^(9) is

    Text Solution

    |

  15. The term independent of x in the expansion of (2x+(1)/(3x))^(6) is

    Text Solution

    |

  16. The term independent of x in [sqrt(((x)/(3)))+sqrt(((3)/(2x^(2))))]^(...

    Text Solution

    |

  17. If the coefficients of x^(7) and x^(6) in (2+(x)/(3))^(n) are equal, t...

    Text Solution

    |

  18. In the expansion of ( 1+ x)^(50), the sum of the coefficient of odd po...

    Text Solution

    |

  19. For r = 0,1,...10, let A(r ),B(r ) and C(r ) denote respectively the...

    Text Solution

    |

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

    Text Solution

    |