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

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

A

20

B

15

C

6

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|25 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 co-efficient of the terms independent of x in the expansion of (2x + (1)/(3x))^(6) is ......... .

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

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

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

The co-efficient of the term independent of x in the expansion of (2x-(1)/(3x))^(6) , x>0 is ………………. .

Find the term independent of x in the expansion of (x^(2) - 1/x)^(7)

Find the term independent of x in the expansion of (root3x + 1/(2root3x))^(18) , x gt 0 .

The coefficient of the term independent of x in the exampansion of ((x+1)/(x^(2//3)-x^(1//3)+1)-(x-1)/(x-x^(1//2)))^(10) is 210 b. 105 c. 70 d. 112

Find the term independent of x in the expansion of (2^(x) + 2^(-x)+log_(e)e^(x+2)))^(30) .

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
  1. Which one of the following is true?

    Text Solution

    |

  2. When 2^(1505) is divided by 9, the remainder is

    Text Solution

    |

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

    Text Solution

    |

  4. The sum of coefficitents in the expansion of (1 + 3x -3x^(2))^(1143) i...

    Text Solution

    |

  5. The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal t...

    Text Solution

    |

  6. Let t(n) denote the n^(th) term in a binomial expansion. If t(6)/t(5) ...

    Text Solution

    |

  7. The middle term in the expansion of (10/x + x/10)^(10) is

    Text Solution

    |

  8. The coefficient of x^(49) in the product (x - 1) (x - 2) (x - 3) ........

    Text Solution

    |

  9. The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6...

    Text Solution

    |

  10. The value of ""^(2)P(1) + ^(3)P(1) + ...... + ^(n)P(1) equal to

    Text Solution

    |

  11. The positive integer just greater than (1 + .0001)^(10000) is

    Text Solution

    |

  12. r and n are positive integers r gt 1,n gt 2 and coefficient of (r + 2)...

    Text Solution

    |

  13. The coefficients of x^(p) and x^(q) in the expansion of (1 + x)^(p + q...

    Text Solution

    |

  14. If the sum of the coefficients in the expansion of (a + b)^(n) is 4096...

    Text Solution

    |

  15. If x is positive, the first negative term in the expansion of (1 + x)^...

    Text Solution

    |

  16. The number of integral terms in the expansion of (sqrt(3) + root8(5))^...

    Text Solution

    |

  17. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  18. The coefficient of x^(n) in expansion of (1 + x)(1 - x)^(n) is

    Text Solution

    |

  19. If s(n) = sum(r = 0)^(n) 1/(""^(n)C(r)) and t(n) = sum (r = 0)^(n) r/(...

    Text Solution

    |

  20. If the coefficient of x^(7) in [ax^(2) + (1/(bx))]^(11) equals the coe...

    Text Solution

    |