Home
Class 12
MATHS
If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x...

If `(1+2x+3x^2)^(10)=a_0+a_1x+a_2x^2++a_(20)x^(20),t h e na_1` equals `10` b. `20` c. `210` d. none of these

A

10

B

20

C

210

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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

If (1+2x +3x^2)^10 = a_0 +a_1x +a_2x^2 + ……+a_20x^20 then a_1 = ?

If (1+x+x^2+x^3)^100=a_0+a_1x+a_2x^2+.......+a_300x^300, then

If (1+2x+3x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+ . . .+a_(20)x^(20), then

If (x^2+x+1)/(1-x)=a_0+a_1x+a_2x^2+ ,t h e nsum_(r=1)^(50)a_r is equal to 148 b. 146 c. 149 d. none of these

lf (1 + x + x^2 + x^3)^5 = a_0+a_1x +a_2x^2+.....+a_(15)x^15 , then a_(10) equals to

If (1+x+x^2)^n=a_0+a_1x+a_2x^2+....+a_(2n)x^(2n) , then a_0+a_2+a_4+.....+a_(2n) is

If (3 + 7x - 9x^2)^n = a_0 +a_1x + a_2 x^2 + ……+a_(2n)x^(2n) prove the a_0 +a_1 +a_2 + ……+a_(2n) = 1

If (e^(x) -1)^(2) =a_0 +a_(1)x +a_(2) x^2 + ......oo then a_4 =

If (1 + x+ 2x^(2))^(20) = a_(0) + a_(1) x + a_(2) x^(2) + …+ a_(40) x^(40) . The value of a_(0) + a_(2) + a_(4) + …+ a_(38) is

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

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

    |