Home
Class 12
MATHS
The coefficient of x^5in(1+2x+3x^2+)^(-3...

The coefficient of `x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1)` `21` b. `25` c. `26` d. none of these

A

21

B

25

C

26

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(5)in(1+2x+3x^(2)+...)^(-3/2)is(|x|<1)21 b.25c.26d .none of these

Statement-1: The middle term of (x+(1)/(x))^(2n) can exceed ((2n)^(n))/(n!) for some value of x. Statement-2: The coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+ . . .)^(-n) is (1*3*5 . . .(2n-1))/(n!)*2^(n) . Statement-3: The coefficient of x^(5) in (1+2x+3x^(2)+ . . .)^(-3//2) is 2.1.

The coefficient of x^(5) in (1-x-x^(2)+x^(3))^(6) is

The coefficient of x^(20) in (1 + 3x + 3x^(2) + x^(3))^(20) ,I s

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

The coefficient of x^(7) in (1+2x+3x^(2)+..oo)^-5

coefficient of x^(3) in 2x+x^(2)-5x^(3)+x^(4)

the coefficient of x^(3) in (1+5x)^((1)/(2)) is:

coefficient of x^(5) in (1+x+x^(2)+x^(3))^(10) is

RESONANCE-DPP-QUESTION
  1. Number of words each consisting of two vowels and two consonants which...

    Text Solution

    |

  2. The number of zeros at the end of 70!, is

    Text Solution

    |

  3. The coefficient of x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1) 21 b. 25 c. 26...

    Text Solution

    |

  4. it is known for x ne 1 that 1+x+x^(2)+"….."+x^(n-1) = (1-x^(n))/(1-x),...

    Text Solution

    |

  5. Match the following :

    Text Solution

    |

  6. The are enclosed by 2|x|+3|y| le 6 is

    Text Solution

    |

  7. A possible three digit even number which can be formed with the condit...

    Text Solution

    |

  8. The number of different seven digit numbers that can be written using ...

    Text Solution

    |

  9. Number of natural numbers between 100 & 1000 such that at least one of...

    Text Solution

    |

  10. A class contains 4 boys and g girls. Every Sunday five students, inclu...

    Text Solution

    |

  11. Let A,B,C,D be collinear points in that order. Suppose AB: CD = 3:2 an...

    Text Solution

    |

  12. If A & B are the points (-3,4)a n d(2,1) , then the co-ordinates of th...

    Text Solution

    |

  13. If in triangle A B C ,A-=(1,10), circumcentre -=(-1/3,2/3) and orthoce...

    Text Solution

    |

  14. If the 6th term in the expansion of [1/x^(8/3)+x^2 log10 x]^8 is 5600...

    Text Solution

    |

  15. If the second term of the expansion [a^(1/(13))+a/(sqrt(a^(-1)))]^n is...

    Text Solution

    |

  16. The co-efficient of x in the expansion of (1-2x^3+3x^5)(1+1/x)^8 is:

    Text Solution

    |

  17. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

    Text Solution

    |

  18. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  19. STATEMENT - 1 : The term independent of x in the expansion of (x+1/x+2...

    Text Solution

    |

  20. If roots of the equation x^2-2ax+a^2+a-3=0 are real and less than 3 t...

    Text Solution

    |