Home
Class 12
MATHS
If the 6th term in the expansion of ((1)...

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

A

1

B

`log_(e)10`

C

10

D

x does not exist

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|6 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos
  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

Similar Questions

Explore conceptually related problems

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

The middle term in the expansion of (x+(1)/(2x))^(2n) , is

If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(10) contains x^(4) , then r=

If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(16) contains x^(4) , then r=

Find the 4^(th) term in the expansion of (x-2y)^12 .

The 11th term in the expansion of (x + (1)/(sqrt(x)))^(14) is

The ninth term of the expansion ((3x) (-1)/(2x))^(8) is

The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is

The 5th term from the end in the expansion of ((x^(3))/(2)-(2)/(x))^(12) is

Find the middle term in the expansion of (3+x^(2)/6)^(6) ?

MODERN PUBLICATION-BINOMIAL THEOREM-MCQ.s (LEVEL-II)
  1. The value of x for which the sixth term in the expansion of [2^(log(...

    Text Solution

    |

  2. If the third term in (x+x^(log(10)x))^(5), is 10^(6), then x may be:

    Text Solution

    |

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

    Text Solution

    |

  4. If three consecutive coefficients in the expansion of (1+x)^(n) are in...

    Text Solution

    |

  5. For integer ngt1, the digit at unit's place in the number sum(r=0)^(10...

    Text Solution

    |

  6. The digit at unit's place in 2^(9^(100)) is:

    Text Solution

    |

  7. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of x and x^...

    Text Solution

    |

  8. The coefficient of x^(53) in the expansion of: sum(m=0)^(100)""^(100...

    Text Solution

    |

  9. The coefficient of x^(4) in the expansion of : (1+x+x^(2)+x^(3))^(n)...

    Text Solution

    |

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

    Text Solution

    |

  11. If the sum of the coefficient in the expansion of (alpha^(2)x^(2)-2alp...

    Text Solution

    |

  12. If (3sqrt(3)+5)^(2n+1)=p+f, where p is an integer and f is a proper fr...

    Text Solution

    |

  13. The larger of 99^(50)+100^(50) and 101^(50) is:

    Text Solution

    |

  14. Find the value of x in the expansion of [x+x^(log(10)x)]^(5), if the t...

    Text Solution

    |

  15. Value of 2C(0)+(2^(2))/(2)C(1)+(2^(3))/(3)C(2)+ . . .+(2^(11))/(11)C(1...

    Text Solution

    |

  16. Sum to (n+1) terms of the series: (C(0))/(2)-(C(1))/(3)+(C(2))/(4)-(C(...

    Text Solution

    |

  17. If n is an even integer, then: C(0)^(2)-C(1)^(2)+C(2)^(2)-C(3)^(2)+ ...

    Text Solution

    |

  18. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+ . . .+C(n)x^(n), then the value of ...

    Text Solution

    |

  19. If m,n,r are positive integers such that rltm,n, then: ""^(m)C(r)+""...

    Text Solution

    |

  20. If in the expansion of (2a-(a^(2))/(4))^(9), the sum of middle terms i...

    Text Solution

    |