Home
Class 12
MATHS
The last term in the binomial expression...

The last term in the binomial expression of `(root(3)(2)-(1)/(sqrt(2)))^(n)` is `((1)/(3)*(1)/(root(3)(9)))^(log_(3)8)`. Then the 5th term from the beginning is

A

`(1)/(2). 10 C_(4) `

B

`2. 10 C_(4) `

C

`10 C_(4) `

D

`10C_(6) `

Text Solution

Verified by Experts

The correct Answer is:
D
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

Greatest term in the expansion of sqrt(3)(1+(1)/(sqrt(3)))^(20) is

The number of rational terms in the expansion of (1+sqrt(2)+root(3)(3))^(6) is:

The number of integral terms in the expansion of (sqrt(3)+root(8)(5))^(256) is

The number of non-zero terms in the expansion of (1+3sqrt(2)x)^(9)+(1-3sqrt(2)x)^(9) is

Find the (n+1)th term from the end in the expansion of (2x - (1)/(x))^(3n)

The number of non zero terms in the expansion of (1+2sqrt(3) x)^(9)+(1-2sqrt(3) x)^(9) is

The term independent of x in the expression of (1+x+2x^(3))((3)/(2)x^(2)-(1)/(3x))^(9) is:

The fourth term in binomial expansion of (x^(2)-(1)/(x^(3)))^(n) in independent of x, when n is equal to:

If the seventh terms from the beginning and the end in the expansion of (root(3)(2)+(1)/(root(3)(2)))^(n) are equal, then n equals:

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. The term independent of x in (1+x)^(m)(1+(1)/(x))^(n)

    Text Solution

    |

  2. The 6^(th) term for the end of the expansion of (3 x-(1)/(x^(2)))^(1...

    Text Solution

    |

  3. The last term in the binomial expression of (root(3)(2)-(1)/(sqrt(2)))...

    Text Solution

    |

  4. The number of non zero terms in the expansion of (1+2sqrt(3) x)^(9)+...

    Text Solution

    |

  5. The number of terms in the expansion of (sqrt(5)+4sqrt(11))^(124) wh...

    Text Solution

    |

  6. If r^(th) and (r+1)^(th) term in the expansion of (1+x)^(n) are equ...

    Text Solution

    |

  7. If the coefficients of r^(th) and (r+1)^(th) term in the expansion o...

    Text Solution

    |

  8. The greatest coefficient in the expansion of (1+x)^(24) is

    Text Solution

    |

  9. If the second term in the expansion ((a)^(1/13)+(a)/(sqrt(a^(-1))))^...

    Text Solution

    |

  10. The sum of last ten coefficients in the expansion of (1+x)^(19) whe...

    Text Solution

    |

  11. (1)/(n !)+(1)/(2 !(n-2) !)+(1)/(4 !(n-4) !)+.... =

    Text Solution

    |

  12. The coefficient of x^(5) in the expansion of (1+x)^(21)+(1+x)^(22)+....

    Text Solution

    |

  13. The coefficient of x^(6) in: [(1+x)^(6)+(1+x)^(7)+ . . .+(1+x)^(15)]...

    Text Solution

    |

  14. Numerically the greatest term in the expansion of (3-5 x)^(15) when ...

    Text Solution

    |

  15. The greatest term in the expansion of (1+x)^(10) when x=(2)/(3) is

    Text Solution

    |

  16. The coefficients of (2 r+4)^(th) and (r-2)^(th) terms in the expansion...

    Text Solution

    |

  17. If the coefficients of r^(th) , (r+1)^(t h) and (r+2)^(th ) terms in...

    Text Solution

    |

  18. The number of terms in the expansion of (2 x+3 y-4 z)^(n) is

    Text Solution

    |

  19. If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...

    Text Solution

    |

  20. If (1+x+x^(2))^(n) = a(0)+a(1) x+a(2) x^(2)+.. .+a(2 n) x^(2 n) then ...

    Text Solution

    |