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

The term independent of `x ` in
the expansion `(sqrt(x)-(2)/(x))^(18)` appears in

A

`7^(th) term `

B

`5^(th) term `

C

`6^(th) term `

D

`4^(th) term `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|221 Videos
  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

Similar Questions

Explore conceptually related problems

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

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

The term independent of x in the expansion of (1+x)^(n)(1-(1)/(x))^(n) is:

Find the terms independent of x in the expansion of (x^(2)+1/x)^(9)

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

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

Find the term independent of x in the expansion of ((3x^2)/2-1/(3x))^6 .

In the expansion (sqrt(x)-(2)/(x))^(18) the term independent of x is

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

Find the term independent of x in the expansion of (root(3)(x)+1/(2root(3)(x)))^18 ,x > 0.

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. If the coefficients of the middle term of (1+x)^(2n+2) is p and the co...

    Text Solution

    |

  2. The term independent of x in (2 x^(1 / 2)-3 x^(-1 / 3))^(20) is

    Text Solution

    |

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

    Text Solution

    |

  4. In the expansion (sqrt(x)-(2)/(x))^(18) the term independent of x ...

    Text Solution

    |

  5. The term independent of x in the expansion of (1+x)^(n)(1-(1)/(x))^(n)...

    Text Solution

    |

  6. Constant term in the expansion of (x-(1)/(x))^(10) is

    Text Solution

    |

  7. Find the middle term of (x- ( 1) /( x)) ^( 16)

    Text Solution

    |

  8. If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, t...

    Text Solution

    |

  9. In the expansion of (1+x)^(11) , the 5^(th ) term is 24 times the 3...

    Text Solution

    |

  10. If (T(2))/(T(3)) is the expansion of (a+b)^(n) and (T(3))/(T(4)) in ...

    Text Solution

    |

  11. If in the expansion (1+x)^(n) the 5^(th ) term is 4 times the 4^(th)...

    Text Solution

    |

  12. Ratio of 3^(rd) and 4^(th) terms of (x+(2)/(3 x^(2)))^(7) is

    Text Solution

    |

  13. If T, denotes the r^(th) term in the expansion of (x+(1)/(y))^(23)...

    Text Solution

    |

  14. In the expansion of (1+x)^(10) the coefficient of (2 r+1)^(th) term...

    Text Solution

    |

  15. If the coefficient of x^(7) in [ax^(2)+((1)/(bx))]^(11) equals the coe...

    Text Solution

    |

  16. If 21^(st) and 22^(nd ) terms in the expansion of (1-x)^(44) are ...

    Text Solution

    |

  17. If the coefficients of 5^(t h), 6^(th) and 7^(th) terms of (1+x)...

    Text Solution

    |

  18. If the coefficients of second, third and fourth terms in the expansion...

    Text Solution

    |

  19. The sum of the coefficients in the expansion of (1-x)^(10) is

    Text Solution

    |

  20. If the sum of the coefficients in the expansion of (x+y)^(n) is 4096...

    Text Solution

    |