Home
Class 11
MATHS
Maximum sum of coefficient in the expans...

Maximum sum of coefficient in the expansion of `(1-xsintheta+x^2)^n` is `1` b. `2^n` c. `3^n` d. `0`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

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

The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

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

The sum of the coefficients in the expansion of (1 - x + x^(2) - x^(3))^(n) ,is

Find the sum of the coefficients in the expansion of (1+2x+3x^2+ n x^n)^2dot

The sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa and if the sum of the coefficients in the expansion of (1+x^2)^n is b , then a. a=3b b. a=b^3 c. b=a^3 d. none of these

If a\ a n d\ b denote the sum of the coefficients in the expansions of (1-3x+10 x^2)^n a n d\ (1+x^2)^n respectively, then write the relation between a\ a n d\ bdot

The coefficient of x^n in the expansion of (1 + x+x^2+...........)^-n , is

The sum of coefficient in the expansion of (1+a x-2x^2)^n is (a)positive, when a<1a n dn=2k ,k in N (b)negative, when a<1a n dn=2k+1,k in N (c)positive, when a<1a n dn in N (d)zero, when a=1

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa...

    Text Solution

    |

  2. If (1+x-2x^2)^6=1+a1x+a2x^(2)++a(12)x^(12), then find the value of a2+...

    Text Solution

    |

  3. Maximum sum of coefficient in the expansion of (1-xsintheta+x^2)^n is ...

    Text Solution

    |

  4. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

    Text Solution

    |

  5. The number of distinct terms in the expansion of (x+1/x+x^2+1/(x^2))^...

    Text Solution

    |

  6. The sum of the coefficients of even power of x in the expansion of (1...

    Text Solution

    |

  7. Column I, Column II The coefficient of the two consecutive terms...

    Text Solution

    |

  8. If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coeffici...

    Text Solution

    |

  9. If the coefficients of the (2r+4)t h ,(r-2)t h term in the expansion ...

    Text Solution

    |

  10. If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expan...

    Text Solution

    |

  11. If the three consecutive coefficients in the expansion of (1+x)^n are...

    Text Solution

    |

  12. Degree of the polynomial [sqrt(x^2+1)+sqrt(x^2-1)]^8+[2/(sqrt(x^2+1)+...

    Text Solution

    |

  13. Least positive integer just greater than (1+0. 00002)^(50000) is.

    Text Solution

    |

  14. If Un=(sqrt(3)+1)^(2n)+(sqrt(3)-1)^(2n) , then prove that U(n+1)=8Un-4...

    Text Solution

    |

  15. Prove that the coefficient of x^(n) in the expansion of (1)/((1-x)(1-2...

    Text Solution

    |

  16. The value of (30,0)(30,10)-(30,1)(30,11)+(30,2)(30,12)-.............+(...

    Text Solution

    |

  17. Prove that ^n C1(^n C2)(^n C3)^3(^n Cn)^nlt=((2^n)/(n+1))^(n+1C()2),AA...

    Text Solution

    |

  18. Prove that 1/(m !)^n C0+n/((m+1)!)^n C1+(n(n-1))/((m+2)!)^n C2++(n(n-1...

    Text Solution

    |

  19. If n=12 m(m in N), prove that ^n C0-(^n C2)/((2+sqrt(3))^2)+(^n C4)/(...

    Text Solution

    |

  20. In the expansion of (1 + x)^(n) (1 + y)^(n) (1 + z)^(n) , the sum of t...

    Text Solution

    |