Home
Class 12
MATHS
The total number of terms in the expansi...

The total number of terms in the expansion of `(x+y)^(100)+(x-y)^(100)` after simplification

A

51

B

50

C

202

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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 total number of terms in the expansion of (x+a)^(100)+(x-a)^(100) after simplification is

The total number of terms in the expansion of (x+y)^(150)+(x-y)^(150) after simplification is

The total number of terms in the expansion of (x+a)^(51)-(x-a)^(51) after simplification is

The total number of terms in the expansion of (x + a)^(47) - (x - a)^(47) after simplification is

The total number of terms in the expansion of (x+a)^(47)-(x-a)^(47) after simplification is

The number of terms in the expansion of (x+y+z)^(10) is

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

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

Constant term in the expansion of (x-(1)/(x))^(10) is

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

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. In the expansion of (1+x)^(n) , coefficients of 2^(text (nd )) 3^(r...

    Text Solution

    |

  2. The coefficients of x in the expansion of (x^(2)+(c)/(x))^(5) is equ...

    Text Solution

    |

  3. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

    Text Solution

    |

  4. If the coefficients of r^(th) and (r+1)^(th) terms in the expansion o...

    Text Solution

    |

  5. If (1+x-2 x^(2))^(6)=1+a(1) x+a(z) x^(2)+l .. .+a(12) x^(12) then a(2...

    Text Solution

    |

  6. If the sum of the coefficients in the expansion of (x+y)^n is 1024 ...

    Text Solution

    |

  7. The coefficient of (1)/(x) in the expansion of ((1)/(x)+1)^(n)(1+x)^...

    Text Solution

    |

  8. Coefficient of x in the expansion of (x^(2)+(a)/(x))^(5)

    Text Solution

    |

  9. In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a t...

    Text Solution

    |

  10. Let (1+x^(2))^(2)(1+x)^(n) = sum(k=0)^(n+4) a(k) x^(k) . If a(1) , a...

    Text Solution

    |

  11. The value of C(0)+3C(1)+5C(2)+7C(3)+ . . .+(2n+1)C(n) is:

    Text Solution

    |

  12. The largest term in the expansion of (3+2x)^(50) where x=1/5 is:

    Text Solution

    |

  13. The value of ((30),(0))((30),(10))+((30),(1))((30),(11))+((30),(2))(...

    Text Solution

    |

  14. The positive integer just greater than, (1+0.0001)^(10000) is

    Text Solution

    |

  15. In the binomial expansion of (a-b)^(n),nge5, the sum of the 5th and 6t...

    Text Solution

    |

  16. The sum of series: ""^(20)C(0)-""^(20)C(1)+""^(20)C(2)-""^(20)C(3)+ ...

    Text Solution

    |

  17. If the coefficient of x^(7) in the expansion of (ax^(2)+b^(-1)x^(-1))^...

    Text Solution

    |

  18. The remainder left out when 8^(2n)-(62)^(2n+1) is divided by 9 is

    Text Solution

    |

  19. The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6) is:

    Text Solution

    |

  20. The term independent of x in the expression of (1+x+2x^(3))((3)/(2)x^(...

    Text Solution

    |