Home
Class 12
MATHS
If the 7th tern in the binomial expansio...

If the 7th tern in the binomial expansion of `(3/((84)^(1/3)) +sqrt(3) ln x )^9, x gt 0` is equal to 729 then x can be (A) `e^2` (B) `e` (C)`e/2` (D) `2e`

A

`e^(2)`

B

e

C

`1/2e`

D

`2e`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 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

log _(e). (1+3x)/(1-2x) is equal to

If (x^2+y^2)dy=xydx and y(1)=1 . If y(x_0)=e then x_0 is equal to (A) sqrt(2)e (B) sqrt(3)e (C) 2e (D) e

The minimum value of x(log)_(e)x is equal to e (b) 1/e(c)-1/e (d) 2e( e )e

int(e^((x^(2)+4ln x))-x^(3)e^(x^(2)))/(x-1)dx is equal to

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is ...

    Text Solution

    |

  2. The coefficient of the term independent of x in the expansion of ((...

    Text Solution

    |

  3. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

    Text Solution

    |

  4. Given positive integers r>1,n> 2, n being even and the coefficient of...

    Text Solution

    |

  5. The ratio of the coefficient of x^(15) to the term independent of x in...

    Text Solution

    |

  6. The sum of the rational terms in the expansion of (sqrt(2)+ root(5...

    Text Solution

    |

  7. The coefficients of x^3 and x^4 in the expansion of (1+ax+bx^2)(1-2x)^...

    Text Solution

    |

  8. The number of terms in the expansion of (1+x)^(101) (1+x^2-x)^(100) in...

    Text Solution

    |

  9. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  10. If (2+x/3)^(55) is expanded in the ascending powers of x and the coeff...

    Text Solution

    |

  11. If 1 +x^4 +x^5 =sum(i=0)^5 ai (1 + x)^i, for all x in R, then a2 is :

    Text Solution

    |

  12. The coefficient of x^(1012) in the expansion of (1+x^(n)+x^(253)^(10),...

    Text Solution

    |

  13. The sum of coefficients of integral powers of x in the binomial exp...

    Text Solution

    |

  14. If the coefficients of the three successive terms in the binomial expa...

    Text Solution

    |

  15. The term independent of x in the binomial expansion of (1-1/x+3x^(5))(...

    Text Solution

    |

  16. If the number of terms in the expansion of (1-2/x+4/(x^2))^n , x!=0, i...

    Text Solution

    |

  17. FOr xin r, x != -1 , If (1+x)^(2016)+x(1+x)^(215)+x^2(1+x)^(2014)+...

    Text Solution

    |

  18. If the coefficients of x^-2 and x^-4 the expansion of (x^(1/3) +1/(2x^...

    Text Solution

    |

  19. The value of (.^(21)C(1) - .^(10)C(1)) + (.^(21)C(2) - .^(10)C(2)) + (...

    Text Solution

    |

  20. If (27)^999 is divided by 7, then the remainder is .

    Text Solution

    |