Home
Class 12
MATHS
The term independent of x in the expansi...

The term independent of x in the expansion of `((1)/(60) - (x^(8))/(81)).(2x^(2) - (3)/(x^(2)))^(6)` is equal to

A

`-36`

B

`-108`

C

36

D

`-72`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 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

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

The term independent of x in the expansion of (x-3/x^(2))^(18) is

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

The term independent of x in the expansion of (x^(3)+(2)/(x^(2)))^(15) is

The term independent of x in the expansion of (x^(3)+(2)/(x^(2)))^(15) is

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

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. The coefficient of x^(2) in the expansion of the product (2-x^(2))(1+2...

    Text Solution

    |

  2. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  3. The total number of irrational terms in the binomial expansion of (7^(...

    Text Solution

    |

  4. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  5. The coefficient of t^4 in the expansion of ((1 - t^6)/(1-t))^(3) is 3k...

    Text Solution

    |

  6. If the third term in the binomial expansion of (1+x^(log(2)x))^(5) equ...

    Text Solution

    |

  7. The positive value of lambda for which the co-efficient of x^2 in the ...

    Text Solution

    |

  8. The sum of the real values of x for which the middle term in the bin...

    Text Solution

    |

  9. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  10. The sum of the series 2.""^(20)C0+5.""^(20)C1+8.""^(20)C2+11.""^(20)C(...

    Text Solution

    |

  11. The sum of the coefficients of all even degree terms is x in the expan...

    Text Solution

    |

  12. If the fourth term in the binomial expansion of (sqrt ((1)/(x ^( 1 ...

    Text Solution

    |

  13. If the fourth term in the binomial expansin of ((2)/(x) + x^(log(6) x)...

    Text Solution

    |

  14. If some three consecutive coefficeints in the binomial expanison of (x...

    Text Solution

    |

  15. If the coefficients of x^(2) and x^(3)are both zero, in the expansion ...

    Text Solution

    |

  16. The smallest natural number n, such that the coefficient of x in the e...

    Text Solution

    |

  17. The cofficient of x^(18) in the product (1 + x) (1 - x)^(1) (1 + x + x...

    Text Solution

    |

  18. The term independent of x in the expansion of ((1)/(60) - (x^(8))/(81)...

    Text Solution

    |

  19. If .^(20)C(1)+(2^(2)) .^(20)C(2) + (3^(2)).^(20)C(3) +......+(20^(2))....

    Text Solution

    |

  20. Consider the statement : " P(n) : n^(2)-n+41 is prime." Then, which on...

    Text Solution

    |