Home
Class 11
MATHS
The coefficient of x^(-3) in the expansi...

The coefficient of `x^(-3)` in the expansion of `(x-m/x)^(11)` is a. `-924 m^7` b. `-792 m^5` c. `-792 m^6` d. `-330 m^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 coefficient of \ x^m in the expansion of (x+1/x)^ndot

The value of m , for which the coefficients of the (2m+1) th terms in the expansion of (1+x)^(10) are equal is 3 b. 1 c. 5 d. 8

The value of m , for which the coefficients of the (2m+1) th and (4m+5) th terms in the expansion of (1+x)^(10) are equal is a. 3 b. 1 c. 5 d. 8

The coefficient of x^m in (1+x)^m +(1+m)^(m+1) +...+(1+x)^n ,m≤n is

Find a positive value of m for which the coefficient of x^(2) in the expansion of (1+x)^(m) , is 6.

Find a positive value of m for which the coefficient of x^2 in the expansion of (1+x)^m is 6.

Find a positive value of m for which the coefficient of x^2 in the expansion of (1+x)^m is 6.

The coefficient of x^(53) in the expansion sum_(m=0)^(100)^100C_m(x-3)^(100-m)2^m is (a) 100 C_(47) (b.) 100 C_(53) (c.) -100C_(53) (d.) none of these

If a and b are respective coefficients of x^m and x^n in the expansion of (1+ x)^(m+n) then

Find a positive value of m for which the coefficient of x^(2) in the expansion (1+x)^m is 6

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

    |