Home
Class 12
MATHS
The sum of the numerical coefficients in...

The sum of the numerical coefficients in the expansion of `(2x+3y)^10` is _______.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos

  • Application of dy/dx

    A DAS GUPTA|Exercise Exercise|45 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

Similar Questions

Explore conceptually related problems

If n be a positive integer,show that the algebraic sum of thenumerical coefficients in the expansion of (3x-2y)^(n) is 1 .

The sum of the coefficients in the expansion of (x+2y+3z)^(8) is

The sum of the numerical coefficients in the expansion of (1+(x)/(3)+(2y)/(3))^(12), is

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

The sum of the binomial coefficients in the expansion of (x^2+1/x)^n is 1024. find the coefficient of x^11 in the binomial expansion.

The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

Numerically greatest coefficient in expansion of (1+2x)^10 is

The sum of the coefficients in the expansion of (1 +x-3x^(2))^(4321) is

A DAS GUPTA-Binomial Theorem for Positive Integrel Index-Exercise
  1. Which is larger : (99^(50)+100^(50)) or (101)^(50).

    Text Solution

    |

  2. The sum of the coefficeints of the polynominal (1 + x - 3x^(2))^(2163)...

    Text Solution

    |

  3. The sum of the numerical coefficients in the expansion of (2x+3y)^10 i...

    Text Solution

    |

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

    Text Solution

    |

  5. The sum of the rational terms in the expansion of (sqrt(2)+ root(5...

    Text Solution

    |

  6. Write the middle term in the expansion of (x+1/x)^(10)dot

    Text Solution

    |

  7. If the coefficients of 2nd, 3rd and 4th terms in the expansion of(1+x)...

    Text Solution

    |

  8. If x^r occurs in the expansion of (x+1/x)^n then its coefficient is .

    Text Solution

    |

  9. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

    Text Solution

    |

  10. The number of terms in the expansion of (1+x^(1/5))^55 which are free ...

    Text Solution

    |

  11. If n is even then the coefficient of x in the expansion of (1+x)^n*(1-...

    Text Solution

    |

  12. The sum of ""^21C0+""^21C1+""^21C2+...+""^21C10 is equal to .

    Text Solution

    |

  13. The coefficient of x^(n) y^(n) in the expansion of [(1 + x)(1+y) (x...

    Text Solution

    |

  14. The number of terms in the expansion of (1+2x+x^2)^n is :

    Text Solution

    |

  15. The number of terms in the expansion of (1+7sqrt(2x))^9+(1-7sqrt(2x))^...

    Text Solution

    |

  16. In the expansion of (x^(3) - (1)/(x^(2)))^(15) , the constant term,i...

    Text Solution

    |

  17. The largest coefficient in the expansion of (1+x)^24 is

    Text Solution

    |

  18. 3^(51) when divided by 8 leaves the remainder 2 2. 6 3. 3 4. 5 5. 1

    Text Solution

    |

  19. The sum of the series ""^20C0+""^20C1+""^20C2+...+""^20C9 is =

    Text Solution

    |

  20. The sum of the last eight coefficients in the expansion of (1 + x)^16 ...

    Text Solution

    |