Home
Class 11
MATHS
If the 6th term in the expansion of (1/x...

If the 6th term in the expansion of `(1/x^(8//3)+x^2log_(10)x)^8` is 5600, then x equals

A

1

B

`log_e10`

C

10

D

x does not exist

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

If the 3rd term in the expansion of (1/x+x^(log_(10)x))^5 is 1000, then find x.

Find the 6th term in expansion of (2x^2-1/(3x^2))^(10)dot

The 10^(th) term in the expansion of (2x^2+1/x)^(12) is

If the third term in expansion of (1+x^(log_2x))^5 is 2560 then x is equal to

Determine : the 11th term in the expansion of (x-(1)/(x))^(20)

The middle terms in the expansion of (x+(1)/(x))^(10) is-

Find the middle term of the expansion (1-1/x)^8 .

If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum of all real values of x is equal to

If the middle term in the expansion ((x)/(2)+2)^(8) is 1120 , then x inRR is equal to -

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

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. The terms independent of x in (3/2(x^2)-1/(3x))^9 is

    Text Solution

    |

  2. The 10^(th) term in the expansion of (2x^2+1/x)^(12) is

    Text Solution

    |

  3. If the 6th term in the expansion of (1/x^(8//3)+x^2log(10)x)^8 is 5600...

    Text Solution

    |

  4. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

    Text Solution

    |

  5. The sum of series ,^20C0-^20C1+^20C2-^20C3+.....+ ^20C10 is

    Text Solution

    |

  6. ^8C2+^8C3+^8C4+....^8C7 is equal to

    Text Solution

    |

  7. .^18C15+2(.^18C16)+^17C16+1=^nC3, then n is equal to

    Text Solution

    |

  8. The value of 1^2cdotC1+3^2cdotC3+5^2cdotC5+......, is

    Text Solution

    |

  9. Let [x] denotes the greatest integer less then or equal to x. If x=(sq...

    Text Solution

    |

  10. The fractional part of =(2^(4n))/15 is

    Text Solution

    |

  11. If p=(8+3sqrt7)^n and f=p-[p], where [.] denotes the greatest integer ...

    Text Solution

    |

  12. Maximum sum of coefficient in the expansion of (1-xsintheta+x^2)^n is

    Text Solution

    |

  13. If n in N then value of S=sum(r=0)^n(-1)^r((^nCr)/(^(r+2)Cr)) is

    Text Solution

    |

  14. The value of the expression .^47C4 + sum(j = 1)^5.^(52 - j)C3 is equal...

    Text Solution

    |

  15. The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+.....oo

    Text Solution

    |

  16. Determine the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n.

    Text Solution

    |

  17. If an=sum(r=0)^n1/(^nCr) , then sum(r=0)^nr/(^nCr) equals

    Text Solution

    |

  18. The number of real negative terms in the binomial expansion of (1+ix)^...

    Text Solution

    |

  19. Let f(n)=10^n+3 . 4^(n+2)+5, n in N. The greatest integer which divide...

    Text Solution

    |

  20. The value of the sum of the series 3cdot^nC0+8cdot^nC1+13cdot^nC2-18cd...

    Text Solution

    |