Home
Class 12
MATHS
In the expansion of (1+3x+2x^2)^6 , the ...

In the expansion of `(1+3x+2x^2)^6` , the coefficient of `x^(11)` is a. 144 b. 288 c. 216 d. 576

A

144

B

288

C

216

D

576

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise LEVEL 2|50 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

Similar Questions

Explore conceptually related problems

In the expansion of ( 1 + x+ x^(2) + x^(3))^(6) , the coefficient of x^(14) is :

In the expansion of (1-2x+3x^2 -4x^3+…."to")^4 coefficient of x^2 is

Prove that he coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^(n) in the expansion of (1+x)^(2n-1)

In the expansion of (x^2+2x+2)^n, n in N (A) coefficient of x=n.2^n (B) coefficient of x^2=n^2 2^(n-1) (C) coefficient of x^3=n^2 2^(n-2) (D) none of these

prove that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+x)^(2n-1)

Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+x)^(2n-1)

Find (a) the coefficient of x^7 in the epansion of (ax^2+1/(bx))^11 (b) The coefficient of x^(-7) in the expansion of (ax^2+1/(bx))^11 Also , find the relation between a and b, so that these coefficients are equal .

In the expansion of (1+x)^50 the sum of the coefficients of odd power of x is (A) 0 (B) 2^50 (C) 2^49 (D) 2^51

In the polynomial (x-1)(x^(2)-2)(x^(3)-3)…(x^(11)-11) , the coefficient of x^(60) is :

Coefficient of x^(11) in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^(12) is 1051 b. 1106 c. 1113 d. 1120

VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1
  1. If n is an even natural number , find the value of sum(r=0)^(n) ((...

    Text Solution

    |

  2. sum(r=0)^n(-2)^r*(nCr)/((r+2)Cr) is equal to

    Text Solution

    |

  3. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

    Text Solution

    |

  4. The remainder, if 1+2+2^2++2^(1999) is divided by 5 is.

    Text Solution

    |

  5. The value of ((""^(50)C(0))/(1)+(""^(50)C(2))/(3)+(""^(50)C(4))/(5)+…....

    Text Solution

    |

  6. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

    Text Solution

    |

  7. Let S1=sum(j=1)^(10)j(j-1)^(10)Cj ,""S2=sum(j=1)^(10)j""^(10)Ci "andS"...

    Text Solution

    |

  8. Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)

    Text Solution

    |

  9. Prove that ^100 C0^(100)C2+^(100)C2^(100)C4+^(100)C4^(100)C6++^(100)C(...

    Text Solution

    |

  10. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  11. The digit at the unit place in the number 19^(2005)+11^(2005)-9^(2005)...

    Text Solution

    |

  12. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

    Text Solution

    |

  13. In the expansion of (1+3x+2x^2)^6 , the coefficient of x^(11) is a. 14...

    Text Solution

    |

  14. The value of underset(r=0)overset(40)sumr.^(40)C(r).^(30)C(r) is

    Text Solution

    |

  15. The value of ( .^7C0 + ^7C1)+( .^7C1+ ^7C2)+....+(.^7C6+ ^7C7) is (A...

    Text Solution

    |

  16. The fractional part of 2^(4n)/15 is (n in N) (a) 1/15 (b) 2/15 (c...

    Text Solution

    |

  17. If (1+x)^(n) = C(0) + C(1) xm + C(2)x^(2) + "……" + C(n)x^(n), then ...

    Text Solution

    |

  18. Statement 1: Remainder w h e n3456^2222 is divided by 7 is 4. Statemen...

    Text Solution

    |

  19. If R is remainder when 6^(83)+8^(83) is divided by 49, then the value ...

    Text Solution

    |

  20. The remainder when 2^(2003) is divided by 17 is:

    Text Solution

    |