Home
Class 12
MATHS
Find the term independent of x in the ex...

Find the term independent of `x` in the expansion of `(1+x+2x^3)[(3x^2//2)-(1//3)]^9`

A

`(1)/(3)`

B

`(19)/(54)`

C

`(17)/(54)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Find the term independent of x in the expansion of (1+x+2x^(3))[(3x^(2)/2)-(1/3x)]^(9)

Find the term independent of x in the expansion of (2x^2-3/x^3)^(25)

Find the term independent of x in the expansion of: (2x-(1)/(x))^(10)

Find the term independent of x in the expansion (2x^2-1/(3x^3))^10

The term independent of x in the expansion of (2x+1/(3x))^(6) is

Find the term independent of x in the expansion of (3x - (2)/(x^(2)))^(15) .

Find the term independent of x in the expansion of ((3)/(2) x^(2) - (1)/(3x))^(9)

find the term independent of x' in the expansion of (1+x+x^(2))((3)/(2)x^(2)-(1)/(3x))^(9)

FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. (1)/(n!) +(1)/(2!(n-2)!) +(1)/(4!(n-4)!) +... is equal to

    Text Solution

    |

  2. If x + y = 1, then sum(r-0)^n r nCr x^r y^(n-r) equals

    Text Solution

    |

  3. Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//2...

    Text Solution

    |

  4. The total number of ways of selecting two numbers from the set {1,,...

    Text Solution

    |

  5. Total numbers of regions in which 'n' coplanar lines can divide the pl...

    Text Solution

    |

  6. The total number of ways of selecting 10 balls out of an unlimited num...

    Text Solution

    |

  7. n different toys have to be distributed among n children. Find the num...

    Text Solution

    |

  8. If b^(2) lt 2ac, the equation ax^(3)+bx^(2)+cx+d=0 has (where a, b, c,...

    Text Solution

    |

  9. There are n numbered seats around a round table. Total number of ways ...

    Text Solution

    |

  10. Total number of ways in which 4 boys and 4 girls can be seated around ...

    Text Solution

    |

  11. If letters of the word 'KUBER' are written in all possible orders and ...

    Text Solution

    |

  12. The total number of ways in with three distinct numbers in A.P. can...

    Text Solution

    |

  13. Two players P1a n dP2 play a series of 2n games. Each game can resu...

    Text Solution

    |

  14. Total number of ways in which the letters of the word 'MISSISSIPPI' ca...

    Text Solution

    |

  15. Two persons are selected at random, from n persons seated in a row (n ...

    Text Solution

    |

  16. Three numbers are selected from the set {1, 2, 3, ..., 23, 24}, withou...

    Text Solution

    |

  17. A bag B(1) white balls and 2 red balls. Another bag B(2) has 4 white a...

    Text Solution

    |

  18. In a bag, there are 15 red and 5 white balls. Two balls are drawn in s...

    Text Solution

    |

  19. A natural number 'n' is selected at random from the set of first 100 n...

    Text Solution

    |

  20. Let A,B,C be 3 independent events such that P(A)=1/3,P(B)=1/2,P(C)=1/4...

    Text Solution

    |