Home
Class 11
MATHS
Find the term independent of x in the ex...

Find the term independent of x in the expansion of `[(t^(-1)-1)x+(t^(-1)+1)^(-1)x^(-1)]^8`

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

Find the term inedpendent of X in the expansion of (1+x)^3(1-1/x)^6

Find the term independent of x of the expansion of (1+x)^3(x-1/x)^6

Find the term independent of x in the expansion of (sqrtx+1/(3x^2))^10.

The term independent of x in the expansion of (x+(1)/(x))^(10) is -

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

Determine the term independent of x in the expansion of (3x^2-1/(2x^3))^10 .

Find the term independent of x in the expansion, ((x+1)/(x^(2//3)-x^(1//3)+1)-(x-1)/(x-x^(1//2)))^(10)

The coefficient of the term independent of x in the expansion of [((x+1))/(x^(2//3)-x^(1//3)+1)-((x-1))/(x-x^(1//2))]^(10) is

The term independent of x in the expansion of ((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))^(10) is -

The term independent of x in the expansion of (1+x+2x^3)(3/2(x^2)-1/(3x))^9

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. The fractional part of the sum of all the rational terms in the expans...

    Text Solution

    |

  2. Find the last three digits of (17)^256

    Text Solution

    |

  3. Find the term independent of x in the expansion of [(t^(-1)-1)x+(t^(-1...

    Text Solution

    |

  4. If ak=1/(k(k+1)) for k=1 ,2……..,n then prove that (sum(k=1)^n ak)^2 =n...

    Text Solution

    |

  5. Find the unit digit in the number 17^(1995)+11^(1995)-7^(1995)

    Text Solution

    |

  6. If ((1+x)/(1-x))^n=1+a1x+a2x^2+…….+arx^r+…….. then prove that a1+a2+a3...

    Text Solution

    |

  7. Prove that ^nC0 "^(2n)Cn-^nC1 ^(2n-2)Cn +^nC2 ^(2n-4)Cn =2^n

    Text Solution

    |

  8. If (1+x)^n=a0+a1x+a2x^2+…….+anx^n then prove that (1+(a/a0))(1+(a2)/(a...

    Text Solution

    |

  9. Prove that the following identity about binomial coefficients ((n),(0)...

    Text Solution

    |

  10. The terms independent of x in (3/2(x^2)-1/(3x))^9 is

    Text Solution

    |

  11. The 10^(th) term in the expansion of (2x^2+1/x)^(12) is

    Text Solution

    |

  12. If the 6th term in the expansion of (1/x^(8//3)+x^2log(10)x)^8 is 5600...

    Text Solution

    |

  13. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

    Text Solution

    |

  14. The sum of series ,^20C0-^20C1+^20C2-^20C3+.....+ ^20C10 is

    Text Solution

    |

  15. ^8C2+^8C3+^8C4+....^8C7 is equal to

    Text Solution

    |

  16. .^18C15+2(.^18C16)+^17C16+1=^nC3, then n is equal to

    Text Solution

    |

  17. The value of 1^2cdotC1+3^2cdotC3+5^2cdotC5+......, is

    Text Solution

    |

  18. Let [x] denotes the greatest integer less then or equal to x. If x=(sq...

    Text Solution

    |

  19. The fractional part of =(2^(4n))/15 is

    Text Solution

    |

  20. If p=(8+3sqrt7)^n and f=p-[p], where [.] denotes the greatest integer ...

    Text Solution

    |