Home
Class 12
MATHS
In the expansion of (x +a)^(n) the sum o...

In the expansion of `(x +a)^(n)` the sum of even
terms is E and that of odd terms is O, them `O^(2) + E^(2)` is equal to

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-C) Objective type question (More than one correct answer)|15 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-D) Objective type question (Linked Comprehension Type Questions)|11 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-A)|50 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (x + a)^(n) the sum of even terms is E and that of odd terms is O, then OE is equal to

In the expansion of (x+a) ,sum of the odd terms is P and the sum of even terms is Q then 4PQ .

In the expansion of (x+a)^(n) if the sum of odd terms is P and the sum of even terms is Q then (a)P^(2)-Q^(2)=(x^(2)-a^(2))^(n)(b)4PQ=(x+a)^(2n)-(x-a)^(2n)(c)2(P^(2)+Q^(2))=(x+a)^(2n)+(x-a)^(2n) (d)none of these

In the expansion of (1+x)^(n), the sum of the coefficients of the terms in even positions is 2^(n-1)

If in the expansion of (a-2b)^(n) , the sum of 5^(th) and 6^(th) terms is 0, then th e values of a//b =

In the expansion of (e^(7x)+e^(3x))/(e^(5x)) the constant term is

Consider the expansion of (1 + x)^(2n+1) The sum of the coefficients of all the terms in the expansion is

The expansion of (x-y)^(2), n ge 5 is done in the descending power of x. If the sum of the fifth and sixth terms is zero, then (x)/(y) is equal to

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)
  1. If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a(r)x^(r)(1-x)^(3n-2r), t...

    Text Solution

    |

  2. Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...

    Text Solution

    |

  3. The coefficient of x^1007 in the expansion (1+x)^(2006)+x(1+x)^(2005)+...

    Text Solution

    |

  4. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

    Text Solution

    |

  5. In the expansion of (x +a)^(n) the sum of even terms is E and that ...

    Text Solution

    |

  6. The sum of the last eight coefficients in the expansion of (1 + x)^16 ...

    Text Solution

    |

  7. Find the coefficient of x^3y^4z^5 in the expansion of (xy+yz+zx)^6

    Text Solution

    |

  8. In the expansion of (3x+2y-z)^(8), the coefficients of x^(2)y^(3)z^(3)...

    Text Solution

    |

  9. If n is ann integer greater than 1, then a-^(n)C(1)(a-1)+.^(n)C(2)(a...

    Text Solution

    |

  10. (C(0))/(1)+(C(1))/(2)+(C(2))/(3)+ . . . .+(C(100))/(101) equals

    Text Solution

    |

  11. 2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?

    Text Solution

    |

  12. The coefficient of x^(n) in the polynomial (x+""^(2n+1)C(0))(X+""^(2n+...

    Text Solution

    |

  13. If C(r) stands for .^(n)C(r)=(n!)/(r!n-r!) and underset(r=1)overset(n)...

    Text Solution

    |

  14. If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C(r)), then underset(r=0)ov...

    Text Solution

    |

  15. if x+y=1, then underset(r=0)overset(n)(sum)r^(2).^(n)C(r)x^(r)y^(n-r) ...

    Text Solution

    |

  16. underset(r=1)overset(n)(sum)r(.^(n)C(r)-.^(n)C(r-1)) is equal to

    Text Solution

    |

  17. The expression ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-...

    Text Solution

    |

  18. If underset(k=0)overset(n)(sum)(k^(2)+k+1)k! =(2007).2007!, then value...

    Text Solution

    |

  19. Let R=(5sqrt(5)+11)^(2n+1)a n df=R-[R]w h e r e[] denotes the greatest...

    Text Solution

    |

  20. Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(1...

    Text Solution

    |