Home
Class 11
MATHS
Find the coefficient of x^(-25) in the e...

Find the coefficient of `x^(-25)` in the expansion of `((x^(2))/(2)-(3)/(x^(3)))^(15)`

A

`(-1365)/(16)xx3^(11)`

B

`(1365)/(16)xx3^(11)`

C

`(-16)/(1365)xx3^(11)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
N/a
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Exercise 8F|20 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Exericse 8.1|28 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Exercise 8D|8 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^(15) in the expansion of (x - x^(2))^(10)

Find the coefficient of x^(4) in the expansion of ((x)/(2)-(3)/(x^(2)))^(10)

Find the coefficient of x^(24) in the expansion of (x^(2)-3(a)/(x))^(15)

Find the coefficient of : x^(-15) in the expansion of (3x^(2)-(a)/(3x^(3)))^(10)

Find the coefficient of x^(6) in the expansion of (3x^(2)-(1)/(3x))^(9)

Find the coefficient of x^(4) in the expansion of (2-x+3x^(2))^(6)

Write the coefficient of x^(2) in the expansion of (x-2)^(3)

Find the coefficient of x in the expansion of (2x-(3)/(x))^(9)

Find the coefficient of x^(4) in the expansion of (2x^(2)+(3)/(x^(3)))^(7)

NAGEEN PRAKASHAN-BINOMIAL THEOREM-Exercise 8E
  1. No. of terms in the expansion of (1+3x+3x^(2)+x^(3))^(10) is:

    Text Solution

    |

  2. Using (x+1)^6+(x-1)^6evaluate (sqrt(2)+1)^6+(sqrt(2)-1)^6.

    Text Solution

    |

  3. 15th term in the expansion of (sqrt(2)-sqrt(y)^(17) is :

    Text Solution

    |

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

    Text Solution

    |

  5. In the expansion of (2+a)^(50) the 17th and 18th terms are aqual . The...

    Text Solution

    |

  6. Find the coefficient of x^(-25) in the expansion of ((x^(2))/(2)-(3)/(...

    Text Solution

    |

  7. The remainder left out when 8^(2n)""-(62)^(2n+1) is divided by 9 is

    Text Solution

    |

  8. No. of terms in the expansion of (1+2x)^(9) +(1-2x)^(9) is :

    Text Solution

    |

  9. Find the middle term in the expansion of : \ (x-1/x)^(10)

    Text Solution

    |

  10. if the coefficient of (2r+1)th term and (r+2)th term in the expansion...

    Text Solution

    |

  11. Find the middle term in the expansion of : (1+3x+3x^2+x^3)^(2n)

    Text Solution

    |

  12. Show that (sqrt(2)+1)^6+(sqrt(2)-1)^6=198

    Text Solution

    |

  13. 15th term in the expansion of (sqrt(2)-sqrt(y)^(17) is :

    Text Solution

    |

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

    Text Solution

    |

  15. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

    Text Solution

    |

  16. Find the coefficient of x^(-25) in the expansion of ((x^(2))/(2)-(3)/(...

    Text Solution

    |

  17. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

    Text Solution

    |

  18. No. of terms in the expansion of (1+2x)^(9) +(1-2x)^(9) is :

    Text Solution

    |

  19. Find the middle term in the expansion of : \ (x-1/x)^(10)

    Text Solution

    |

  20. if the coefficient of (2r+1)th term and (r+2)th term in the expansion...

    Text Solution

    |