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

The coefficient of the term independent of `x` in the expansion of `(a x+b/x)^(14)` is a. `14 ! a^7b^7` b. `(14 !)/(7!)a^7b^7` c. `(14 !)/((7!)^2)a^7b^7` d. `(14 !)/((7!)^3)a^7b^7`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|248 Videos

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA ENGLISH|Exercise All Questions|77 Videos

Similar Questions

Explore conceptually related problems

Find the term independent of x in (4x^3 + (7)/(x^2))^14

If p^(4)+q^(3)=2(p gt 0, q gt 0) , then the maximum value of term independent of x in the expansion of (px^((1)/(12))+qx^(-(1)/(9)))^(14) is (a) "^(14)C_(4) (b) "^(14)C_(6) (c) "^(14)C_(7) (d) "^(14)C_(12)

If the coefficients of 5th, 6th , and 7th terms in the expansion of (1+x)^n are in A.P., then n= a. 7 only b. 14 only c. 7 or 14 d. none of these

If the coefficients of 5th, 6th , and 7th terms in the expansion of (1+x)^n are in A.P., then n= a. 7 only b. 14 only c. 7 or 14 d. none of these

If the coefficients of 5th, 6th , and 7th terms in the expansion of (1+x)^n are in A.P., then n= a. 7 only b. 14 only c. 7 or 14 d. none of these

If the coefficients of x^2a n d\ x^3 in the expansion o (3+a x)^9 are the same, then the value of a is -7/9 b. -9/7 c. 7/9 d. 9/7

If the coefficients of x^2a n d\ x^3 in the expansion o (3+a x)^9 are the same, then the value of a is -7/9 b. -9/7 c. 7/9 d. 9/7

If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x)^n \ , nin NN are in A.P, then n is a. 7 b. 14 c. 2 d. none of these

If the coefficients of x^2a n d\ x^3 in the expansion of (3+a x)^9 are the same, then the value of a is a. -7/9 b. -9/7 c. 7/9 d. 9/7

Add 9/(-14) and -7/14

RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the term independent o f x in the expansion of the following expr...

    Text Solution

    |

  2. If A and B respectively denote the sum of the odd terms and sum of the...

    Text Solution

    |

  3. If the coefficient of x in the expansion of (x^2 +k/x)^5 is 270, then...

    Text Solution

    |

  4. The coefficient of x^4 in (x//2-3//x^2)^10 is (405)/(256) b. (504)...

    Text Solution

    |

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

    Text Solution

    |

  6. If T2/T3 in the expansion of (a + b)^n and T3/T4 in the expansion o...

    Text Solution

    |

  7. The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (n !)...

    Text Solution

    |

  8. The sum of the binomial coefficients of [2x+1/x]^n is equal to 256. Th...

    Text Solution

    |

  9. If the fifth term of the expansion (a^(2//3)+a^(-1))^n does not contai...

    Text Solution

    |

  10. The coefficient of x^(-3) in the expansion of (x-m/x)^(11) is a. -924 ...

    Text Solution

    |

  11. The coefficient of the term independent of x in the expansion of (a x+...

    Text Solution

    |

  12. The coefficient x^5 in the expansion of (1+x)^(21)+(1+x)^(22)++(1+x)^...

    Text Solution

    |

  13. The coefficient of x^8y^(10) in the expansion of (x+y)^(18) is a. \ ^(...

    Text Solution

    |

  14. If the coefficients of the (n+1)^(t h) term and the (n+3)^(t h) term i...

    Text Solution

    |

  15. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1...

    Text Solution

    |

  16. The middle term in the expansion of ((2x)/3-3/(2x^2))^(2n) is a. \ ^(2...

    Text Solution

    |

  17. If r^(th) term is the middle term in the expansion of (x^2-1/(2x))^...

    Text Solution

    |

  18. The number of terms with integral coefficients in the expansion of (...

    Text Solution

    |

  19. Constant term in the expansion of (x-1/x)^(10) is a. 152 b. -152 c. -2...

    Text Solution

    |

  20. If the coefficients of x^2a n d\ x^3 in the expansion of (3+a x)^9 are...

    Text Solution

    |