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 =

A

2

B

`sqrt5`

C

`sqrt(10)`

D

`10`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 Single Correct Answer Type Questions)|23 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Numerical Answer Type Questions)|20 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Concept Based Single Correct Answer Type Questions)|10 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

If the 6 th term in the expansion of ((1)/(x^((8)/(3)))+x^(2)log_(10)x)^(8) is 5600, then x equals 1 b.log_(e)10 c.10 d.x does not exist

n th term in the expansion of (x+(1)/(x))^(2n)

Find the 4 th term in the expansion of (1-2x)^((3)/(2))

The 6th term of expansion of (x-1/x)^(10) is

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

Find the 7th term in the expansion of ((4x)/5+5/(2x))^(8)

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-SOLVED EXAMPLES ( LEVEL 1 Single Correct Answer Type Questions)
  1. In the expansion of (x^(3) - (1)/(x^(2)))^(15) , the constant term,i...

    Text Solution

    |

  2. If the 4 th term in the expansion of (a x + (1)/(x))^(n) is (5)/(2)...

    Text Solution

    |

  3. If the 6th term in the expansion of [1/x^(8/3)+x^2 log10 x]^8 is 5600...

    Text Solution

    |

  4. If the (r + 1)th term in the expansion of ((a^(1//3))/(b^(1//6))+(b^(1...

    Text Solution

    |

  5. If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) a...

    Text Solution

    |

  6. If x^(2k) occurs in the expansion of (x+1/(x^(2)))^(n-3), then

    Text Solution

    |

  7. The coefficient of the term independent of x in the exampansion of ((x...

    Text Solution

    |

  8. If (1+ x)^(n) = C(0) + C(1) x + C(2)x^(2) + ...+ C(n)x^(n) , prove tha...

    Text Solution

    |

  9. (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + C(3) x^(3) + … + C(n) x^(n)...

    Text Solution

    |

  10. If n in N, n > 1, then value of E= a - ""^(n)C(1) (a-1) + ""^(n)C(2) (...

    Text Solution

    |

  11. Suppose ABC is a triangle and n is a natural number, then sum of the s...

    Text Solution

    |

  12. Find the positive integer just greater than (1+0. 0001)^(10000)dot

    Text Solution

    |

  13. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  14. For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...

    Text Solution

    |

  15. The sum of the series .^(20)C(0)-.^(20)C(1)+ .^(20)C(2)-.^(20)C(3)+...

    Text Solution

    |

  16. The sum of the coefficients of all odd degree terms in the expansion o...

    Text Solution

    |

  17. The coefficient of x^r[0lt=rlt=(n-1)] in lthe expansion of (x+3)^(n-1)...

    Text Solution

    |

  18. Number of zeroes at the end of 99^(1001)+1?

    Text Solution

    |

  19. The co-efficient of x^k (0 <= k <= n) in the expansion of E= 1+(1+x) +...

    Text Solution

    |

  20. Find the number of irrational terms in the expansion of (5^(1//6)+2^(1...

    Text Solution

    |