Home
Class 11
MATHS
The greatest term (numerically) in the e...

The greatest term (numerically) in the expansion of `(2+3x)^9` when x=3/2 is

A

`(5xx3^11)/2`

B

`(5xx3^13)/2`

C

`(7xx3^13)/2`

D

none of these

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

The greatest term (numerically) in the expansion of (3-5x)^11 when x=1/5 is

Find the greatest term in the expansion of (2+3x)^9 if x=3/2

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

Find the numerically greatest term in the expansion of (2x+5 y)^(34)w h e n x=3 and y=2.

The largest term in the expansion of (3+2x)^50 , where x=1/5, is

Find numerically the greatest terms in the following expansion : (2a-3b)^(9)"when " a=(5)/(3),b=(3)/(5)

The total number of terms in the expansion of (1+2x+x^2)^2 is

If n even positive integer, then the condition that the greatest term in the expansion of (1+x)^(n) may also have the greatest coefficient is

Find numerically the greatest terms in the following expansion (ax-by)^(10)"when "a=2,b=5,x=3,y=(1)/(2)

Find numerically the greatest terms in the following expansion : [1+(x)/(8)]^(12)"when"x=5

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. Coefficient of x^(11) in the expansion of (1+3x+2x^2)^6 is equal to

    Text Solution

    |

  2. Show that 101^(50)gt 99^(50)+100^(50)

    Text Solution

    |

  3. The greatest term (numerically) in the expansion of (2+3x)^9 when x=3/...

    Text Solution

    |

  4. If agt0 and coefficients of x^5 and x^(15) in the expansion of (x^2+a/...

    Text Solution

    |

  5. 1/(n!)+1/(2!(n-2)!)+1/(4!(n-4)!)+ …… is equal to

    Text Solution

    |

  6. The coefficients of x^n in (1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2 is

    Text Solution

    |

  7. The sum of the coefficients of all the integral powers of x in the exp...

    Text Solution

    |

  8. The coefficient of x^m in (1+x)^r+ (1+x)^(r+1)+(1+x)^(r+2)+………+(1+x)^n...

    Text Solution

    |

  9. The coefficient of x^ny^n in the expansion of {(1+x)(1+y)(x+y)}^n is

    Text Solution

    |

  10. If log(1-x+x^2)=a1x+a2x^2+a3x^3+……… then a3+a6+a9+……… is equal to

    Text Solution

    |

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

    Text Solution

    |

  12. The number of integral terms in the expansion of (3^(1/2)+2^(1/2))^(50...

    Text Solution

    |

  13. The least (positive) remainder when 17^(30) is divided by 5 is

    Text Solution

    |

  14. The coefficient of x^(17) in the expansion of (x-1)(x-2)……..(x-18) is

    Text Solution

    |

  15. The number of terms in the expansion of (a+b+c)^n where ninN is

    Text Solution

    |

  16. The sum of the rational terms in the expansion of (sqrt2+3^(1/5))^(10)...

    Text Solution

    |

  17. The greatest coefficient iin the expansion of (x+y+z+t)^(15) is

    Text Solution

    |

  18. If (1+x)^n=sum(r=0)^n .^nCr x^r then sum(r=m)^n .^rCm is equal to

    Text Solution

    |

  19. Let n be a positive integer such that (1+x+x^2)^n=a0+a1x+a2x^2+…….+a(2...

    Text Solution

    |

  20. Give the integers rgt1 , ngt2 and c0-efficients of (3r)^th and (r+2)^(...

    Text Solution

    |