Home
Class 11
MATHS
Find the coefficient of x^4 in the expan...

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

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

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

Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot

Find the coefficient of x^6y^3 in the expansion of (x+2y)^9

Find the coefficient of x^7 in the expansion of (1+3x-2x^3)^(10)dot

Find the coefficients of x^(16) in the expansion of x^(10)(x-2)^(10)

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

Find the coefficient of x^6 y^3 in the expansion of (x+2y)^9 .

The coefficient of x^(-10) in the expansion of (x^2-1/x^3)^10 is

Coefficient of x^n in the expansion of (a+x)^(2n)

If |x|<1, then find the coefficient of x^n in the expansion of (1+2x+3x^2+4x^3+)^(1//2)dot

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Coefficient of x^11 in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^12 i...

    Text Solution

    |

  2. Give the integers rgt1 , ngt2 and c0-efficients of (3r)^th and (r+2)^(...

    Text Solution

    |

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

    Text Solution

    |

  4. If Cr stands for nCr, then the sum of the series (2(n/2)!(n/2)!)/(n...

    Text Solution

    |

  5. If the sum 1+2+2^2+......+2^(n-1)is 255, then find the number of ter...

    Text Solution

    |

  6. The coefficient of X^24in the expansion of (1+X^2 )^12(1+X^12)(1+X^24)

    Text Solution

    |

  7. Find the sum of the GP 1+3+9+27+........ 12terms

    Text Solution

    |

  8. The coefficient of x^(53) in the expansion of sum(m=0)^(100) ^100Cm(x-...

    Text Solution

    |

  9. The coefficient of the term independent of x in the expansion of [((x+...

    Text Solution

    |

  10. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is a..^...

    Text Solution

    |

  11. If coefficient of a^(2)b^(3)c^(4) in (a+b+c)^(m) (where m in N) is L (...

    Text Solution

    |

  12. The last two digits of the number 3^(400) are: (A) 81 (B) 43 (C) ...

    Text Solution

    |

  13. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

    Text Solution

    |

  14. A GP has common ratio 3, last term 486, if the sum of its terms is 728...

    Text Solution

    |

  15. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2+.....+a(20)x^(20),t h e na1 equals a....

    Text Solution

    |

  16. Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...

    Text Solution

    |

  17. For which of the following values of x ,5t h term is the numerically g...

    Text Solution

    |

  18. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...

    Text Solution

    |

  19. If the middle term in the expansion of (x/2+2)^8 is 1120, then find t...

    Text Solution

    |

  20. If (1+x)^n=C0+C1x+C2x^2+...+Cn x^n , t h e n C0-(C0+C1)+(C0+C1+C2)-(C0...

    Text Solution

    |