Home
Class 11
MATHS
Prove that the Binomial theorem (a + b)^...

Prove that the Binomial theorem `(a + b)^(n) = ""^(n)C_(0)a^(n) + ""^(n)C_(1)a^(n - 1)b + ""^(n)C_(2)a^(n - 2)b^(2) + .. ""^(n)C_(n)b^(n)` for any positive integer 'n'.

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPER - 2018 (NORTH) (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise Part -E (V . Answer any One questions:)|4 Videos

  • ANNUAL EXAMINATION QUESTION PAPER - 2018 (NORTH) (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise Part - B (II. Answer any Ten questions :)|13 Videos

  • ANNUAL EXAMINATION QUESTION PAPER - 2017 (SOUTH) (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise Part - E (Answer any One question:)|4 Videos

  • ANNUAL EXAMINATION QUESTION PAPER - 2018 (SOUTH) (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise Part -D (Answer any One question:)|3 Videos

Similar Questions

Explore conceptually related problems

Prove that (x+b)^(n)=""^(n)C_(0) x^(n)+""^(n)C_(1) x^(n-1)b+ ""^(n)C_(2) x^(n-2) b^(2)+...+ ....+..... ""^(n)C_(n) b^(n), and n in N and hence find (101)^(4) .

Prove that 2^(n) gt n for all positive integers n.

If ""^(n)C_(8) = ""^(n)C_(2) Find ""^(n)C_(2) ?

Find 'n' if ""^(n)C_(7)= ""^(n)C_(6) ?

If "" ^(n)C_(5)= ""^(n)C_(10) , then find n ?

Prove that ""^(n)C_(r)+""^(n)C_(r-1)=""^(n+1)C_(r) .

""^(n)C_(n-r)+3.""^(n)C_(n-r+1)+3.""^(n)C_(n-r+2)+""^(n)C_(n-r+3)=""^(x)C_(r)

Prove that n + n is divisible by 2 for any positive integer n.

SUBHASH PUBLICATION-ANNUAL EXAMINATION QUESTION PAPER - 2018 (NORTH) (WITH ANSWERS)-Part - C (Answer any Ten questions:)
  1. Find the coordinates of the vertices, length of the latus rectum and e...

    Text Solution

    |

  2. Differentiate of sin x w.r.t. x from first principles

    Text Solution

    |

  3. Verify by the method of contradiction that sqrt(2) is irrational .

    Text Solution

    |

  4. A die is thrown once Find the probability that a prime numbers will a...

    Text Solution

    |

  5. A die is thrown. Find the probability that (i) A prime number will a...

    Text Solution

    |

  6. A die is thrown. Find the probability that (i) A prime number will a...

    Text Solution

    |

  7. Out of 100 students,two sections of 40 and 60 are formed.If you and yo...

    Text Solution

    |

  8. Draw the graph of the signum function write its domain and range.

    Text Solution

    |

  9. Prove that (sin 5x - 2 sin 3x + sin x)/(cos 5 x - cos x)= tan x

    Text Solution

    |

  10. 1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) forall n in N.

    Text Solution

    |

  11. Solve graphically 2x+y ge 4, x+y le 3, 2x-3y le 6 x ge 0, y ge 0

    Text Solution

    |

  12. What is the number of ways of choosing 4 cards from a pack of 52 cards...

    Text Solution

    |

  13. What is the probability that 4 cards drawn at random from a well-shuff...

    Text Solution

    |

  14. What is the number of ways of choosing 4 cards from a pack of 52 cards...

    Text Solution

    |

  15. What is the number of ways of choosing 4 cards from a pack of 52 cards...

    Text Solution

    |

  16. Prove that the Binomial theorem (a + b)^(n) = ""^(n)C(0)a^(n) + ""^(n)...

    Text Solution

    |

  17. Derive the formula to find the angle between two lines with slopes m(1...

    Text Solution

    |

  18. Derive the formula to find the co-ordinates of a point which divide th...

    Text Solution

    |

  19. Prove that Lim ( xto 0) ( sin x) /( x ) =1 ( x being measured in radia...

    Text Solution

    |

  20. Compute the mean deviation about the mean for the following data.

    Text Solution

    |