Home
Class 12
MATHS
If A is the sum of the odd terms and B i...

If A is the sum of the odd terms and B is the sum of even terms in the expansion of `(x+a)^(n)` then `A^(2)-B^(2) `=

A

1: `(x^(2)+a^(2))^(n) `

B

2: `(x^(2)-a^(2))^(n) `

C

3: `2(x^(2)-a^(2))^(n) `

D

4: `2(x^(2)+a^(2))^(n) `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|221 Videos

  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

Similar Questions

Explore conceptually related problems

The number of terms in the expansion of (2 x+3 y-4 z)^(n) is

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

Find the middle term in the expansion of : (a/x+\ b x)^(12)

The number of terms in the expansion of (a+b+c)^(n), where n in N is:

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

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

What is the formula to find the sum of AP to n terms ?

If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x))^(20) , then the (r+3)th term is:

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1 + x)^(2n-1)

Find the sum to 'n' terms if n^(th) term is given by n^(2)+2^(n)

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The numerically greatest term of (2 x-3 y)^(12) when x=1 and y=(5...

    Text Solution

    |

  2. The greatest coefficient in the expansion of (1+x)^(24) is

    Text Solution

    |

  3. If A is the sum of the odd terms and B is the sum of even terms in the...

    Text Solution

    |

  4. The number of terms in the expansion (1+x)^(101)(1-x+x^(2))^(100) is

    Text Solution

    |

  5. The number of terms in the expansion of (1+3 x+3 x^(2)+x^(3))^(7) is

    Text Solution

    |

  6. The total number of terms in the expansion of (x+y)^(150)+(x-y)^(150...

    Text Solution

    |

  7. If the coefficient of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, th...

    Text Solution

    |

  8. If (1+alphax)^(n)=1+8x+24x^(2)+ . . ., then the value of alpha and n i...

    Text Solution

    |

  9. The coefficients of (2 r+4)^(th) and (r-2)^(th) terms in the expansion...

    Text Solution

    |

  10. If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(10) con...

    Text Solution

    |

  11. The coefficient of x^(17) in (x-1)(x-2)(x-3). . . (x-18) is:

    Text Solution

    |

  12. The value of x for which the sixth term in the expansion of [2^(log(...

    Text Solution

    |

  13. If in the expansion of (a+x)^(n),P and Q represent the sum of odd and ...

    Text Solution

    |

  14. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...

    Text Solution

    |

  15. If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x)...

    Text Solution

    |

  16. The sum (1)/(2)""^(10)C(0)-""^(10)C(1)+2.""^(10)C(2)-2^(2)*""^(10)C(3)...

    Text Solution

    |

  17. The value of: ""^(15)C(0)^(2)-""^(15)C(1)^(2)+""^(15)C(2)^(2)- . . ....

    Text Solution

    |

  18. If the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has 13t...

    Text Solution

    |

  19. The fourth term in the binomial expansion of (x^(2)+(2)/(x^(2)))^(n)...

    Text Solution

    |

  20. Sum to (n+1) terms of the series: (C(0))/(2)-(C(1))/(3)+(C(2))/(4)-(C(...

    Text Solution

    |