Home
Class 12
MATHS
Find the coefficient of x^4 in the expan...

Find the coefficient of `x^4` in the expansion of `(2-x+3x^2)^6dot`

Text Solution

Verified by Experts

The correct Answer is:
`3660`
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Binomial Theorem Exerciese 7: Subjective Type Questions|5 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^8 in the expansion of (x^2-1/x)^(10)

Find the coefficient of x^5 in the expansion of (x+3)^6 is :

Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)dot

Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

The coefficient of x in the expansion of (x+3)^3 is

Find the coefficient of x^n in the expansion of: (a+bx+cx^2)/e^x .

Find the coefficient of x^4 in the expansion of (1+x)^n (1-x)^n . Deduce that C_2=C_0C_4-C_1C_3+C_2C_2-C_3C_1+ C_4 C_0 .

Find the coefficient of x^10 in the expansion of : (1+x+x^2+x^3 +.....+ x^10)^4 .

Find the coefficient of x^(10) in the expansion of (2x^(2)-(3)/(x))^(11), x ne0

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

ARIHANT MATHS-BIONOMIAL THEOREM-Exercise (Subjective Type Questions)
  1. Determine the term independent of a in the expansion of ((a+1)/(a^(2/...

    Text Solution

    |

  2. If in the expansion of (1+x)^n ,a ,b ,c are three consecutive coeffici...

    Text Solution

    |

  3. (2^1/3+1/3^1/3)^n if the ratio of 7th term from the beginning to the 7...

    Text Solution

    |

  4. if Sn = C0C1 + C1C2 +...+ C(n-1)Cn and S(n+1)/Sn = 15/4 then n is

    Text Solution

    |

  5. C1/C0+2C2/C1+3C3/C2+............+nCn/C(n-1)=(n(n+1))/2

    Text Solution

    |

  6. Find the term in(3sqrt(((a)/(b))) + 3(sqrt((b)/ sqrt(a)))^(21) which h...

    Text Solution

    |

  7. The coefficient of x^r [0lt=rlt=(n-1)] in the expansion of (x+3)^(n-1)...

    Text Solution

    |

  8. Prove that if p is a prime number greater than 2, then the difference...

    Text Solution

    |

  9. Integer just greater then (sqrt(3)+1)^(2n) is necessarily divisible by

    Text Solution

    |

  10. Find the solution of the following inequality 6 < 2x + 4 < 10

    Text Solution

    |

  11. If (1 + x)^(n) = C(0) = C(1) x + C(2) x^(2) + …+ C(n) x^(n) , find...

    Text Solution

    |

  12. Solve the given inequality and show the graph of the solution on numbe...

    Text Solution

    |

  13. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

    Text Solution

    |

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

    Text Solution

    |

  15. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z^2+C2z^4++C(16)z^(32)...

    Text Solution

    |

  16. Find the solution of the given inequality for real x x/3 > x/2 + 1

    Text Solution

    |

  17. Find the solution of the given inequality for real x : x/2 + x/3 < 5

    Text Solution

    |

  18. Find the solution of the following inequality for real x : 7x + 3 ge 4...

    Text Solution

    |

  19. Solve the inequality 2 le 2x - 6 le 4

    Text Solution

    |

  20. Solve the inequality 6 le 2x - 4 le 12

    Text Solution

    |