Home
Class 11
MATHS
If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12...

If `(1+x-2x^2)^6=1+a_1x+a_2x^2+……+a_(12)x^12` then

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

Let n be a positive integer such that (1+x+x^2)^n=a_0+a_1x+a_2x^2+…….+a_(2n)x^(2n) then sum_(r=0)^(2n) a_r is

If (1+x-2x^(2))^(6) = 1 + a_(1)x+a_(2)x^(2) + "……" + a_(12)x^(12) , then find the value of a_(2) + a_(4) +a_(6)+ "……" + a_(12) .

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x^(2n), find the value of a_0+a_3+a_6++ ,n in Ndot

If (1+x+x^2)^n=a_0+a_1x+a_2x^2+.......+a_(2n)x^(2n) , then prove that a_0+a_2+a_4+....+a_(2n)=1/2(3^n+1) .

If log(1-x+x^2)=a_1x+a_2x^2+a_3x^3+……… then a_3+a_6+a_9+……… is equal to

If (1+x+x^2)^n=a_0+a_1x+a_2x^2+....+a_(2n)X^(2n) ,show that a_0+a_3+a_6+.....=a_1+a_4+a_7+...=a_2+a_5+a_8+...=3^(n-1)

If (1+px+x^(2))^(n)=1+a_(1)x+a_(2)x^(2)+…+a_(2n)x^(2n) . Which of the following is true for 1 lt r lt 2n

If (1+px+x^(2))^(n)=1+a_(1)x+a_(2)x^(2)+…+a_(2n)x^(2n) . The value of a_(1)+3a_(2)+5a_(3)+7a_(4)+….(4n-1)a_(2n) when p=-3 and n in even is

If (1+x+x^2++x^p)^n=a_0+a_1x+a_2x^2++a_(n p)x^(n p), then find the value of a_1+2a_2+3a_3+ddot+n pa_(n p)dot

If (1+x)^n=a_0+a_1x+a_2x^2+…..+a_nx^n then show that (a_0-a_2+a_4-……)^2+(a_1-a_3+a_5-……)^2=a_0+a_1+a_2+……a_n

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The value of .^(15)C(0)^(2)-.^(15)C(1)^(2)+.^(15)C(2)^(2)-"...."-.^(15...

    Text Solution

    |

  2. If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa...

    Text Solution

    |

  3. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Second term of a GP is 6 and its 5th term is 9th time of its 3rd term....

    Text Solution

    |

  9. The 4th term and the 9th term of a GP is 54 and 13122 respectively. Fi...

    Text Solution

    |

  10. If a,b,c are in GP Then prove that, loga ,logb , logc are in AP.

    Text Solution

    |

  11. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

    Text Solution

    |

  12. If the binomial coefficient of the (2r+4)^(th) term and (r-2)^(th) ter...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

    Text Solution

    |

  16. Least positive integer just greater than (1+0.00002)^(50000) is "".

    Text Solution

    |

  17. If U(n) = (sqrt(3) + 1)^(2n) +(sqrt(3) - 1)^(2n), then prove that ...

    Text Solution

    |

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

    Text Solution

    |

  19. The value of (30,0)(30,10)-(30,1)(30,11)+(30,2)(30,12)-........+(30,20...

    Text Solution

    |

  20. If a, b, c are in AP, a, x, b are in GP , where as b, y and c also in...

    Text Solution

    |