Home
Class 11
MATHS
Find the coefficient of x in the expansi...

Find the coefficient of x in the expansion `(1-x^2+2x^4)(1-1/x)^6.`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

Similar Questions

Explore conceptually related problems

Find the coefficients of x in the expansion of (1-x^(2)+2x^(4))(1-(1)/(x))^(6)

Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot

Find the coefficinet of 1/x^2 in the expansion of (2x^3-1/x^2)^6 .

Find the coefficient of x^5 in the expansion of (1+x)^21+(1+x)^22+...+(1+x)^30 .

The coefficient of x^5 in the expansion of (1+x^2)(1+x)^4 is

Find the coefficient of x^4 in the expansion of (x/2-3/x^2)^10 .

Find the coefficients of x^(-2) in the expansion of (2x^(3)-(1)/(x^(2)))^(6)

Find the coefficients of x^(10) in the expansion of (1+x+x^(2))(1-x)^(8)

Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x^3)^4dot

Find the coefficient of x^7 in the expansion of (1+3x-2x^3)^(10)dot

PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
  1. If n be a positive integer, then by using binomial theorem show that 3...

    Text Solution

    |

  2. Find the greatest value of the term independent of x in the expansion ...

    Text Solution

    |

  3. Find the coefficient of x in the expansion (1-x^2+2x^4)(1-1/x)^6.

    Text Solution

    |

  4. If (1+x+x^2)^n=a0+a1x+a2x^2+.......+a(2n)x^(2n), then prove that a0+a2...

    Text Solution

    |

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

    Text Solution

    |

  6. If the coefficients of four consecutive terms in the expansion of (1+x...

    Text Solution

    |

  7. The 3rd,4th and fifth terms in the expansion of (x+a)^n are 252, 1512,...

    Text Solution

    |

  8. The coefficient of three consecutive terms in the expansion of (1+x)^n...

    Text Solution

    |

  9. Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...

    Text Solution

    |

  10. Show that the integral part of the value of (9+4sqrt5)^n is odd for po...

    Text Solution

    |

  11. If the 3rd, 4th. 5th and sixth term in the expansion of (x+alpha)^n ar...

    Text Solution

    |

  12. If coefficient of x^2 and x^11 are 27 and -192 respectively of (1+ax+2...

    Text Solution

    |

  13. Find the coefficient of x^5 in the expansion of (1+x)^21+(1+x)^22+...+...

    Text Solution

    |

  14. Determine the x-independent term in the expansion of (1+4x)^p(1+1/(4x)...

    Text Solution

    |

  15. For ninN , 2^(3n)-1 is divisible by

    Text Solution

    |

  16. For ninN , n^3+2n is divisible by

    Text Solution

    |

  17. ForninN , 3^(2n-1)+2^(n+1) is always divisible by

    Text Solution

    |

  18. For ninN 2^(3n)-7n-1 is always divisible by

    Text Solution

    |

  19. The greatest positive integer divides (n+1)(n+2)..........(n+r) is

    Text Solution

    |

  20. Applying the principle of mathematical induction (P.M.I.) prove that 1...

    Text Solution

    |