Home
Class 11
MATHS
Show that the co-efficient of the middle...

Show that the co-efficient of the middle term of the expansion of`(1+x)^12`is equal to the sum of the co-efficient of middle terms of.'the expansion of `(1 + x)^11`.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 2

    UNITED BOOK HOUSE|Exercise EXERCISE|48 Videos
  • MODEL QUESTION PAPERS-SET 4

    UNITED BOOK HOUSE|Exercise EXERCISE|47 Videos

Similar Questions

Explore conceptually related problems

Prove that the coefficient of the middle term in the expansion of (1+x)^(12) is equal to the sum of the coeffcients of the two middle terms in the expansion of (1+x)^(11)

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

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

The middle term of the expansion of (4x+5y)^18 is

Show that the coefficient of the middle term in the expansion of (1+x)^(40) is equal to the sum of the coefficients of the two middle terms of (1+x)^(39) .

Find the middle term of the expansion (1-1/x)^8 .

Find the middle term of the expansion of (P^2-1/P)^9

Show that the coefficient of the middle term of (1+x)^(2m) is equal to the sum of the coefficents of the two middle terms of (1+x)^(2m-1) .

find the middle term in the expansion of (x/2+1/x)^7

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 3-EXERCISE
  1. Show that a^6+a^4+a^2+1=0,when a=1/sqrt2(1+i)

    Text Solution

    |

  2. Prove by mathematical induction:(3^(4n+1)+2^(2n+2))is divisible by 7.

    Text Solution

    |

  3. Show that the co-efficient of the middle term of the expansion of(1+x)...

    Text Solution

    |

  4. If (y/z)^a.(z/x)^b.(x/y)^c=1and a,b,c are in A.P ,show that x,y,z are ...

    Text Solution

    |

  5. In /\XYZthe equation of the perpendicularbisector of XY and XZ arc x-y...

    Text Solution

    |

  6. Find the distance of the point (3. 5) from the line 2x + 3y = 14measur...

    Text Solution

    |

  7. The end’ points of a rod having length l are moving a long with two st...

    Text Solution

    |

  8. Find the equation of a circle .which passes through (-2. 1) and touche...

    Text Solution

    |

  9. Evaluate:lim(x-0)((e^x-1)log5(1+5x))/(sin^2x)

    Text Solution

    |

  10. Differentiate a^x with respect to x (a> 0) with the help 1st principle...

    Text Solution

    |

  11. ‘I80 is the multiple of 4 or 5 examine the validity of the compound st...

    Text Solution

    |

  12. ‘x is such a real number that 4x^3 + 3x= 0, then x = O’. Find the trut...

    Text Solution

    |

  13. The AM and SD of the marks obtained in the subjects' Bengali, .English...

    Text Solution

    |

  14. If cosalpha=siny/sinx,cosbeta=sinz/sinxand cos(alpha-beta)=siny sinz.S...

    Text Solution

    |

  15. Solve :16^(sin^2x)+16^(cos^2x)=10.[0lexlepi]

    Text Solution

    |

  16. Find the common solution region by. the graphical method.3x+2yle18,x+2...

    Text Solution

    |

  17. Solve :x^2+x/sqrt2+1=0

    Text Solution

    |

  18. Find the sum upto nth term : ,1 + 4 + 13 .+ 40 + ........

    Text Solution

    |

  19. Find the rank of the word MOTHER when its letters are arranged as in a...

    Text Solution

    |

  20. An equilateral triangle inscribe a parabola y^2 = 4ax. such that oneof...

    Text Solution

    |