Home
Class 12
MATHS
If in the expansion of (x^(3)-1/(x^(2)))...

If in the expansion of `(x^(3)-1/(x^(2)))^(n)`the sum of the coefficients of `x^(5)` and `x^(10)` is 0, then the coefficient of `x^(20)` is:

A

`""^(20)C_(6)`

B

`-""^(20)C_(6)`

C

`""^(15)C_(5)`

D

`-""^(15)C_(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 Single Correct Answer Type Questions)|23 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Numerical Answer Type Questions)|20 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Concept Based Single Correct Answer Type Questions)|10 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos
  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

If in the expansion of (x^3-1/x^2)^n the sum of the coefficients of x^5 and x^10 is 0 , then the coefficient of :the third term

In the expansion of (x^(3)-(1)/(x^(2)))^(n),n in N if sum of the coefficients of x^(5) and x^(10) is 0 then n is

Knowledge Check

  • In the expansion of ((x)/(2)-(3)/(x^(2)))^(10) , the coefficient of x^(4) is

    A
    `(405)/(256)`
    B
    `(256)/(405)`
    C
    `(504)/(256)`
    D
    1
  • In the expansion of (1+x^(2))^(40)(x^(2)+2+(1)/(x^(2)))^(-5) the coefficient of x^(20) is

    A
    `""^(30)C_(10)`
    B
    1
    C
    `""^(30)C_(25)`
    D
    none
  • In the expansion of ( x^(3) - ( 1)/( x^(2)))^(n) , where n is a positive integer, the sum of the coefficient of x^(5) and x^(10) is 0. What is the sum of the coefficients of two middle terms :

    A
    a. 72
    B
    b. 69
    C
    c. 59
    D
    d. None of these
  • Similar Questions

    Explore conceptually related problems

    In the expansion of (1+x)^(n) ,Then sum of the coefficients of odd power of x is

    In the expansion of (1+x+x^(2)+...oo)^(3) the coefficient of x^(n) is

    If the sum of the coefficients in the expansion of (1-4x+7x^(2))^(n) is "a" and the sum of the coefficients of (1+x+2x^(2))^(n) is "b" ,then find relation between a and b

    In the expansion of ( x^(3) - ( 1)/( x^(2)))^(n) , where n is a positive integer, the sum of the coefficient of x^(5) and x^(10) is 0. What is n equal to ?

    In the expansion of ( x^(3) - ( 1)/( x^(2)))^(n) , where n is a positive integer, the sum of the coefficient of x^(5) and x^(10) is 0. What is the value of the independent term?