Home
Class 11
MATHS
Find the term independent of x in the ex...

Find the term independent of x in the expansion of `(sqrt(x/3)+((sqrt3)/(2x^2)))^10`

A

`5//3`

B

`4//5`

C

6

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND ITS APPLCIATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|103 Videos

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos

Similar Questions

Explore conceptually related problems

Find the term independent of x in the expansion of ( sqrt(x / 7) - (sqrt5)/(x^2) )^10

The term independent of x in the expansion of (sqrt(x/3)+3/(2x^2))^10 is

The position of the term independent of x in the expansion of (sqrt((x)/(3)) + (3)/(2x^(2)))^(10) is ......

Find the terms independent of x in the expansion of (sqrt(x)+(1)/(3x^(2)))^(10)

The coefficient of the term independent of x in the expansion of (sqrt (x/3)+3/(2x^2))^(10) is 1. 9/4 2. 3/4 3. 5/4 4. 7/4

Find the term independent of x in the expansion of: (x-1/x)^(12) .

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

The term independent of x in the expansion of (2x-1/x)^(10) is

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 (3/2x^2-1/(3x))^6 .

OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Chapter Test
  1. If x is positive, the first negative term in the expansion of (1+x)^(2...

    Text Solution

    |

  2. The numberof integral termsin the expansion of ( (3)-root(8)(5))^256 i...

    Text Solution

    |

  3. Find the term independent of x in the expansion of (sqrt(x/3)+((sqrt3)...

    Text Solution

    |

  4. If the coefficients of x^2 and x^3 in the expansion of (3 + ax)^(9) be...

    Text Solution

    |

  5. If the integers r gt 1, n gt 2 and coefficients of (3r)th " and " (r +...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. The coefficient of x^(5) in the expansion of (x +3)^(6),is

    Text Solution

    |

  8. Coefficient of x^(n) in the expansion of ((1+x)^(n))/(1-x)

    Text Solution

    |

  9. The sum of the rational terms in the expansion of (2^(1//5) + sqrt(...

    Text Solution

    |

  10. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

    Text Solution

    |

  11. If the sum of the coefficients of the first, second, and third terms ...

    Text Solution

    |

  12. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

    Text Solution

    |

  13. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

    Text Solution

    |

  14. In the expansion of (x^3-1/(x^2))^n ,n in N , if the sum of the coeff...

    Text Solution

    |

  15. sum(k=1)^ook(1-1/n)^(k-1)=>? a.n(n-1) b. n(n+1) c. n^2 d. (n+1)^2

    Text Solution

    |

  16. The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. ...

    Text Solution

    |

  17. Find the interval of x, for which the expansion of (8 – 3x)^(3/2) in...

    Text Solution

    |

  18. If the coefficients of x^2 and x^3 in the expansion of (3 + ax)^(9) be...

    Text Solution

    |

  19. If x=1//3, find the greatest tem in the expansion of (1+4x)^8dot

    Text Solution

    |

  20. Find the following sum : (1)/(n!) + (1)/(2!(n-2)!) + (1)/(4!(n-4)!)+...

    Text Solution

    |