Home
Class 11
MATHS
Find the co-efficient of 1/xof the expan...

Find the co-efficient of `1/x`of the expansion of `(1+x)^n(1+1/x)^n`where n is a positive integer.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 6

    UNITED BOOK HOUSE|Exercise EXERCISE|47 Videos

  • MODEL QUESTION PAPERS-SET 8

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

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

The coefficient of x^n in the expansion of (1+x)(1-x)^n is

Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot

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

Let the coefficients of powers of x in the 2nd ,3rd and 4th terms in the expansion of (1+x)^(n) ,where n is a positive integer ,be in arithmetic progression .Then the sum of the cofficients of odd powers of x in the expansion is-

int (dx)/(1+nsqrt(x+1)) , n is a positive integer.

Let the coefficients of powers of x in the 2^(nd), 3^(rd) and 4^(th) terms in the expansion of (1+x)^n , where n is a positive integer, be in arithmetic progression. Then the sum of the coefficients of odd powers of x in the expansion is

If n is a positive integer then the coefficient of x ^(-1) in the expansion of (1+x) ^(n) (1+ (1)/(x)) ^(n) is-

The co-efficients of the expansion of (1+x)^(2n-1) and (1+x)^(2n) are P and Q resp.Calculate the relation between P and Q.

The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (a). (n !)/((n-1)!(n+1)!) (b). ((2n)!)/((n-1)!(n+1)!) (c). ((2n)!)/((2n-1)!(2n+1)!) (d). none of these

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 7-EXERCISE
  1. Solve : sectheta-1=(sqrt2-1)tantheta

    Text Solution

    |

  2. By mathematical induction show that 3^n>n^3when nge4. N is an integer.

    Text Solution

    |

  3. Find the co-efficient of 1/xof the expansion of (1+x)^n(1+1/x)^nwhere ...

    Text Solution

    |

  4. Find the sum up to n terms :n.1+(n-1).2+(n-2)3+(n-3).4+....

    Text Solution

    |

  5. If n(p(r-1))/a=n(pr)/b=n(p(r+1))/c,then show that b^2=a(b+c)

    Text Solution

    |

  6. Show that the four lines 2x+y+1=0,2x+y+7=0,x+2y-1=0 and x+2y+5=0 form ...

    Text Solution

    |

  7. Find the equation-of the bisector of the obtused angle between the st...

    Text Solution

    |

  8. The co-ordinate of centre and the diameter of a circle are (3, 7) and ...

    Text Solution

    |

  9. Find the ratio in which the YZ. plane divides the line segment joining...

    Text Solution

    |

  10. Evaluate :lim(xrarr0)(sqrtcosx-root(3)(cosx))/(sin^2x)

    Text Solution

    |

  11. Find, form 1st principles, the derivatives of tansqrtxwith respect to ...

    Text Solution

    |

  12. Using contrapositive method show that the following statement is true....

    Text Solution

    |

  13. Find the validity of the following biconditional Statement. A triangle...

    Text Solution

    |

  14. For any three events A. B.' C show thatP(AcupBcupC)=P(A)+P(B)+P(C)-P(A...

    Text Solution

    |

  15. The mean and SD of the scoreing marks of 100 students are 40 and 5.1 r...

    Text Solution

    |

  16. if tan (beta/2)=4 tan (alpha/2),show that tan( (beta-alpha)/2)=(3sinal...

    Text Solution

    |

  17. If xcos(theta+120^@)=y cos (theta+240^@),show that x-y=-(x+y)sqrt3tant...

    Text Solution

    |

  18. If one root is the square of another of an equationax^2+2ibx+ic=0,then...

    Text Solution

    |

  19. If the sum of 1st M terms of an AP is m. and the sum of 1st N terms is...

    Text Solution

    |

  20. Exhibit graphically the solution region of the following system of 'in...

    Text Solution

    |