Home
Class 12
MATHS
The coefficent of x^20 in (1+x)(1+2x)(1+...

The coefficent of `x^20` in `(1+x)(1+2x)(1+4x)(1+8x) . . . (1+2^20x)` is

A

`2^211 -2^190`

B

`2^191 -2^171`

C

`2^231 -2^209`

D

`2^161 -2^142`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^(20) in (x^(2)+2+(1)/(x^(2)))^(-5)(1+x^(2))^(40)

Find the coefficent of x^(4) in the product (1+2x)^(4) xx (2-x)^(5).

The coefficient of x20 in the expansion of (1+x^(2))^(40)*(x^(2)+2+1/x^(2))^(-5) is :

The coefficient of x^(20) in the expansion of (1+x^(2))^(40)*(x^(2)+2+(1)/(x^(2)))^(-5) is:

The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^(2))...(x-2^(19)) is 2^(20)-2^(19) b.1-2^(20) c.2^(20) d.none of these

The continued product of (1 + x), (1 + x^2), (1 + x^4), (1 + x^8) and (1 - x) is :

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. The equation of a plane passing througn the line of intersection of th...

    Text Solution

    |

  2. If f(x)=(x^2-1)/(x^2+1) , for every real x , then the minimum value o...

    Text Solution

    |

  3. The coefficent of x^20 in (1+x)(1+2x)(1+4x)(1+8x) . . . (1+2^20x) is

    Text Solution

    |

  4. A circle of equation x^2+y^2+ax+by+c=0 passes through (0,6) and touche...

    Text Solution

    |

  5. (tan^-1x)^3+(cot^-1x)^3=k pi^3 then find the range of k

    Text Solution

    |

  6. S={theta:theta in [-pi,pi]-{+-pi/2} & sin thetatan theta +tan theta = ...

    Text Solution

    |

  7. IF f(theta)= sin theta + int(-pi/2)^(pi/2) (sin theta+t cos theta)*f(t...

    Text Solution

    |

  8. lt ai gt sequence is an A.P. with common difference 1 and sum(i=1)^n a...

    Text Solution

    |

  9. If A=[(1,0,a),(1,1,0),(-1,0,1)] where a in N from 1 to 50 and sum(a=1)...

    Text Solution

    |

  10. A tangent a x - mu y=2 to hyperbola (a^4 x^2)/lamda^2 -(b^2y^2)/1=4 , ...

    Text Solution

    |

  11. A tangent (x1,y1) to the curve y=x^3+2x^2+4 and passes through origin ...

    Text Solution

    |

  12. Find the domain of cos^-1((x^2-5x+6)/(x^2-9))/lnx^2

    Text Solution

    |

  13. Solution of the differential equation x dy/dx =2y is

    Text Solution

    |

  14. 81^(sin ^2x)+81^(cos ^2x)=30 , then find the number of solution in [0,...

    Text Solution

    |

  15. Angle between vector veca and vecc is pi/6, abs(veca)=abs(vecb)=1 , ve...

    Text Solution

    |

  16. Image of A (3/sqrta,sqrta) in y-axis is B & image of B in x-axis is C....

    Text Solution

    |

  17. For a binomial probability distribution (33,p) such that 3P(x=0)=P(X=1...

    Text Solution

    |

  18. If S={z in c: 1 le abs(z-(1+i)) le 2} and A={z in s: abs(z-(1-i))=1} t...

    Text Solution

    |

  19. If x(y)=x and y dx/dy=2x+y^3(y+1)e^y and x(1)=0 then x(e) is equal to

    Text Solution

    |

  20. A ballon , spherical in shape is inflated and its surface area is incr...

    Text Solution

    |