Home
Class 12
MATHS
Sum of the coefficients of (1+2x-4x^2)^(...

Sum of the coefficients of `(1+2x-4x^2)^(2003)`

A

1

B

2

C

3

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.1 (Level - 1) |52 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.2 (Level - 1) |19 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - II|109 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

The sum of the coefficient of (1+2x-4x^2)^35 is

Sum of the coefficients of (1+ x/3 + (2y)/(3))^12

Show that the sum of the coefficients of x^(25) and x^(-10) of (x^(4) -(1)/(x^(3)))^(15) is zero.

If p(x) = 17x^3+30x-62x^2+10x^4-3 , find sum of the coefficients of p(x)

The coefficient of x^3 in (1-4x)^(1//2) is

Find the sum of the coefficients of x^(32) and x^(-18) in the expansion of (2x^(3)-(3)/(x^(2)))^(14) .

If the sum of the coefficients of (1+2x)^n is 6561 then the value of n

Show that the sum of the coefficients of x^(-6) and x^(-1) in (5x^(2)-(7)/(x^(3)))^(12) is positive.

AAKASH SERIES-BINOMIAL THEOREM-PRACTICE EXERCISE
  1. Binomial coefficients which are in decreasing order are

    Text Solution

    |

  2. Coefficient of x^3 in 1+(1+x) +(1 +x)^2 +…..+(1+x)^n is

    Text Solution

    |

  3. Sum of the coefficients of (1+2x-4x^2)^(2003)

    Text Solution

    |

  4. Sum of coefficients of terms of even powers of x in (1 + x + x^2 + x^...

    Text Solution

    |

  5. Sum of coefficients of terms of odd powers of in (1+x - x^2 -x^3)^8is

    Text Solution

    |

  6. If (1+x -2x^2)^8 =1 -a1x + a2x^2+……+a16x^16, then a2+a4+a6+……+a16 =

    Text Solution

    |

  7. If (1+x-2x^2)^8 = 1 + a1x + a2x^2 + ……+ a16 x^16, then a1 +a3 + a5 + …...

    Text Solution

    |

  8. (1+x)^25 = sum(r = 0)^(25) Cr x^r then C1 - C3 + C5 - C7 + ……-C25 =

    Text Solution

    |

  9. The sum of the coefficients in the expansion of (1+x-3x^2)^(171) is

    Text Solution

    |

  10. If the sum of all the binomial coefficients in (x+y)^n is 512 , then t...

    Text Solution

    |

  11. The coefficient of x^(-n) in (1+x)^n (1+(1)/(x))^n is

    Text Solution

    |

  12. If n is a positive integer then 2^(4n) - 15n - 1 is divisible by

    Text Solution

    |

  13. Smaller of (19^10 + 20^10) and 21^10 is

    Text Solution

    |

  14. 9^11 + 11^9 is divisible by

    Text Solution

    |

  15. Integral part of (8 + 3sqrt7)^n is

    Text Solution

    |

  16. If n = (sqrt2 +1)^6. Then the integer just greater than n is

    Text Solution

    |

  17. 1.C0 + 3.C1+ 3^2.C2+….+3^n.Cn =

    Text Solution

    |

  18. C0 + (C1)/(2) + (C2)/(2^2) + (C3)/(2^3)+…..+(Cn)/(2^n)=

    Text Solution

    |

  19. ""^11C0 + ""^11C1 + ""^11C2 + ……+ ""^11C5 =

    Text Solution

    |

  20. C0^2 + C1^2 + C2^2 - ………-C15^2 =

    Text Solution

    |