Home
Class 11
MATHS
If absx lt 2/3 then the 4^(th) term in t...

If `absx lt 2/3` then the `4^(th)` term in the expansion of `(1+3/2x)^(1/2)` is

A

`27/128 x^3`

B

`-27/128 x^3`

C

`81/256 x^3`

D

None of these

Text Solution

Verified by Experts

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

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

Find the third term in the expansion of (1-2x)^(3//2)""dot

Find the fourth term in the expansion of (1-2x)^(3//2)""dot

Determine: 10th term in the expansion of (3a+2/a)^(12)

The middle term in the expansion of (1-3x+3x^2-x^3)^(2n) is

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

Determine : the 11th term in the expansion of ((x)/(2)-3y)^(n) .

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

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

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. The digit in the unit place in the number (19)^(2005)+(11)^(2005)-(9)^...

    Text Solution

    |

  2. If n lt p lt 2n and p is prime and N = .^(2n)Cn, then

    Text Solution

    |

  3. If absx lt 2/3 then the 4^(th) term in the expansion of (1+3/2x)^(1/2)...

    Text Solution

    |

  4. The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to

    Text Solution

    |

  5. Let f(x)=a0+a1x+a2x^2+.....+anx^n+....and f(x)/(1-x)=b0+b1x+b2x^2+.......

    Text Solution

    |

  6. If (1-x^2)^n=sum(r=0)^narx^r(1-x)^(2n-r), then ar is equal to

    Text Solution

    |

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

    Text Solution

    |

  8. The sixth term in the expansion of {2^(log2root(5)(9^(x-1)+7))+1/2^(1/...

    Text Solution

    |

  9. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to ?

    Text Solution

    |

  10. The value of sum(r=1)^(n+1)(sum(k=1)^n^kC(r-1)) (where r, k, n in N) i...

    Text Solution

    |

  11. sum(r=0)^(300)arx^r=(1+x+x^2+x^3)^(100). If a=sum(r=0)^(300)ar, then s...

    Text Solution

    |

  12. Coefficient of x^50 in (1+x)^(1000)+2x(1+x)^(999)+3x^2(1+x)^(998)+.......

    Text Solution

    |

  13. C0/2-C1/3+C2/4-C3/5+.... is equal to

    Text Solution

    |

  14. The coefficient of x^7 in the expansion of (1-x-x^2+x^3)^6 is

    Text Solution

    |

  15. Let (1+x^(2))^(2) (1+x)^(n) = underset(k = 0)overset(n+4)suma(k)x^(k)....

    Text Solution

    |

  16. Coefficient of x^n in the expansion of (1+x)^(2n) is

    Text Solution

    |

  17. If (1+x+x^2)^n=a0+a1x+...+a(2n)x^(2n) then

    Text Solution

    |

  18. The coefficients of x^7 in the expansion of (x^3+3x+3/x+1/x^3)^5 is

    Text Solution

    |

  19. 3^(2n+2)-8n-9 is divisible by

    Text Solution

    |

  20. If (x+1/x+x^2+1/x^2)^11=a0x^(-22)+a1x^(-21)+.....+a44x^(22), then a0+a...

    Text Solution

    |