Home
Class 11
MATHS
Prove that the middle term in the expans...

Prove that the middle term in the expansion of `(1+x)^(2n)`is`(1.3.5.......(2n-1))/|___n.2^n.x^n`

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPERS 2016

    UNITED BOOK HOUSE|Exercise EXERCISE|51 Videos

  • ANNUAL EXAMINATION QUESTION PAPERS 2018

    UNITED BOOK HOUSE|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

Prove that the middle term in the expansion of (1+x)^(2n)" is " (1.3.5....(2n-1))/(n!).2^(n)x^(n)

Show that the middle term in the expansion of (x+1)^(2n) is (1.3.5.....(2n-1))/(n!) 2^n.x^n .

Show that the middle term in the expansion of (x+1)^(2n)" is " (1.3.5. ......(2n-1))/(n!).2^(n).x^(n).

Show that the middle term in the expansion of (x-1/x)^(2n) is (1.3.5.7....(2n-1))/(n!)(-2)^n

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

Determine: nth term in the expansion of (x+1/x)^(2n)

Show that the value of the middle term in the expansion of (x+(1)/(2x))^(2n)" is " (1.3.5.....(2n-1))/(n!)

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

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

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

UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2017-EXERCISE
  1. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

    Text Solution

    |

  2. How many odd numbers of fve digits can be formed with the digits 3,6,7...

    Text Solution

    |

  3. Prove that the middle term in the expansion of (1+x)^(2n)is(1.3.5........

    Text Solution

    |

  4. If the ratio the sum of 1st n terms of two arithemtic series is (4n-13...

    Text Solution

    |

  5. Find the equations of the lines passing thorugh the point (4,5)making ...

    Text Solution

    |

  6. If the equation of the side BC of an equilateral triangle ABC is x+y=2...

    Text Solution

    |

  7. A circle in the first quadrant touches both the axes its centre lies o...

    Text Solution

    |

  8. Evaluate:underset(x rarr 0)(lim)((e^(x)-1)log(1+x))/(sin^(2)x)

    Text Solution

    |

  9. Find from the first principle,the derivative of f(x)=sec2xat x=pi/8.

    Text Solution

    |

  10. Prove by method of contradiction that sqrt5is an irrational number

    Text Solution

    |

  11. Prove that truth table ~(pvq)=~p~q.

    Text Solution

    |

  12. If 30 dates are named at random,find the probability that 5 of them wi...

    Text Solution

    |

  13. calculate the mean deviation about median for the following data:

    Text Solution

    |

  14. Solve: 4 sin x sin 2x sin 4x =sin3x.

    Text Solution

    |

  15. if tan (theta/2)=sqrt((1-e)/(1+e))tan (varphi/2),then prove that cos v...

    Text Solution

    |

  16. Solve the following inequation (|x+2|+2x)/(x+2)>2.

    Text Solution

    |

  17. Solve applying formula: 3x^2-(2-i)x+10-4i=0

    Text Solution

    |

  18. Out of 14 marbles 10 are red in colour and remaining 4 are of differen...

    Text Solution

    |

  19. Find the sum to n terms :1/2+3/2^2+5/2^3+...+(2n-1)/2^n

    Text Solution

    |

  20. Prove that the locus of the mid-points of chords of length 2d units of...

    Text Solution

    |