Home
Class 12
MATHS
The coefficient of x^(4) in the expansi...

The coefficient of `x^(4)` in the expansion of `((x)/(2)-(3)/(x^(2)))^(10) `=

A

`(405)/(256) `

B

`(504)/(259) `

C

(450)/(263)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|221 Videos
  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(32) in the expansion of (x^(4)-(1)/(x^(3)))^(15) is

The coefficient of x^(5) in the expansion of (x^(2)-x-2)^(5) is

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

The coefficient of x^(6) in the expansion of (1+x+x^(2))^(-3) is

The coefficient of x^(3) in the expansion of (1-x+x^(2))^(5) is

The coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(n) is:

The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6) is:

The coefficient of x^(5) in the expansion of (1+x^(2))^(5).(1+x)^(4) is

The coefficient of x^(4) in the expansion of : (1+x+x^(2)+x^(3))^(n) is:

The coefficient of x^(13) in the expansion of (1-x)^(5)(1+x+x^(2)+x^(3))^(4) is

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Given the integers rgt1,ngt2 and coefficients of (3r)th and (r+2)nd te...

    Text Solution

    |

  2. The coefficient of the term independent of x in the expansion of (sqrt...

    Text Solution

    |

  3. The coefficient of x^(4) in the expansion of ((x)/(2)-(3)/(x^(2)))^(...

    Text Solution

    |

  4. In the expansion of (1+x)^(n) , coefficients of 2^(text (nd )) 3^(r...

    Text Solution

    |

  5. The coefficients of x in the expansion of (x^(2)+(c)/(x))^(5) is equ...

    Text Solution

    |

  6. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

    Text Solution

    |

  7. If the coefficients of r^(th) and (r+1)^(th) terms in the expansion o...

    Text Solution

    |

  8. If (1+x-2 x^(2))^(6)=1+a(1) x+a(z) x^(2)+l .. .+a(12) x^(12) then a(2...

    Text Solution

    |

  9. If the sum of the coefficients in the expansion of (x+y)^n is 1024 ...

    Text Solution

    |

  10. The coefficient of (1)/(x) in the expansion of ((1)/(x)+1)^(n)(1+x)^...

    Text Solution

    |

  11. Coefficient of x in the expansion of (x^(2)+(a)/(x))^(5)

    Text Solution

    |

  12. In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a t...

    Text Solution

    |

  13. Let (1+x^(2))^(2)(1+x)^(n) = sum(k=0)^(n+4) a(k) x^(k) . If a(1) , a...

    Text Solution

    |

  14. The value of C(0)+3C(1)+5C(2)+7C(3)+ . . .+(2n+1)C(n) is:

    Text Solution

    |

  15. The largest term in the expansion of (3+2x)^(50) where x=1/5 is:

    Text Solution

    |

  16. The value of ((30),(0))((30),(10))+((30),(1))((30),(11))+((30),(2))(...

    Text Solution

    |

  17. The positive integer just greater than, (1+0.0001)^(10000) is

    Text Solution

    |

  18. In the binomial expansion of (a-b)^(n),nge5, the sum of the 5th and 6t...

    Text Solution

    |

  19. The sum of series: ""^(20)C(0)-""^(20)C(1)+""^(20)C(2)-""^(20)C(3)+ ...

    Text Solution

    |

  20. If the coefficient of x^(7) in the expansion of (ax^(2)+b^(-1)x^(-1))^...

    Text Solution

    |