Home
Class 12
MATHS
(2+x/3)^n if the coefficient of x^7 and ...

`(2+x/3)^n` if the coefficient of `x^7 and x^8` is same then find value of n

A

56

B

55

C

45

D

15

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (1) (TRUE AND FALSE)|4 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|3 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (3+x/2)^(n) the coefficients of x^(7) and x^(8) are equal, then the value of n is equal to

In the expansion of (x^(3)-(1)/(x^(2)))^(n),n in N if sum of the coefficients of x^(5) and x^(10) is 0 then n is

If the mean of 2,3, x ,7 ,8 is x, then find the value of x .

If the coefficient of x^7 in (x^2+1/(bx))^11 is equal to coefficient at x^-7 in (x+1/(bx^2))^11 Then find value of b

If in the expansion of (1 +x)^(m) (1 - x)^(n) , the coefficients of x and x^(2) are 3 and - 6 respectively, the value of m and n are

Prove that in the expansion of (1+x)^(2n) , the coefficient of x^n is double the coefficient of x^n in the expansion of frac{(1+2x+x^2)^n}{1+x}

If the coefficients of x^(7) and x^(8) in the expansion of [2+(x)/(3)]^(n) are equal,then the value of n is :(A)15(B)45(C)55(D)56

ML KHANNA-BINOMIAL THEOREM AND MATHEMATICAL INDUCTION -Self Assessment Test
  1. (2+x/3)^n if the coefficient of x^7 and x^8 is same then find value of...

    Text Solution

    |

  2. If the coefficient of r^(th) term, (r+4)^(th) term are equal in the ...

    Text Solution

    |

  3. The coefficient of x^(4) in ((x)/(2)-(3)/(x^(2)))^(10) is :

    Text Solution

    |

  4. The coefficient of x^(-7) in the expansion of (ax-(1)/(bx^(2)))^(11) w...

    Text Solution

    |

  5. If the coefficient of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, th...

    Text Solution

    |

  6. The coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(n) is

    Text Solution

    |

  7. The greatest coefficient in the expansion of (1+ x)^(2n +1) is

    Text Solution

    |

  8. The position of the term independent of x in the expansion of (sqrt((x...

    Text Solution

    |

  9. In the expansion of (x+(2)/(x^(2)))^(15) , the term independent of x ...

    Text Solution

    |

  10. The term independent of x in the expansion of (x^(2)-(1)/(3x))^(9) is

    Text Solution

    |

  11. If (1+ x)^(n) = C(0) + C(1) x + C(2)x^(2) + ...+ C(n)x^(n) , prove tha...

    Text Solution

    |

  12. If C(0), C(1), C(2),.....,C(n) are binomial coefficients, (where C(r) ...

    Text Solution

    |

  13. If (1+x-2x^2)^6=1+a1x+a2x^(12)++a(12)x^(12), then find the value of a2...

    Text Solution

    |

  14. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) +… + C(n) x^(n) , prove th...

    Text Solution

    |

  15. The coefficient of x^(n) in the expansion of (1-9 x + 20 x^(2))^(-1...

    Text Solution

    |

  16. The number of integer terms in the expansion of (5^(1//2)+7^(1//6))^(...

    Text Solution

    |

  17. Find the coefficient of x^5 in the expansion of (1+x^2)^5dot(1+x)^4i s...

    Text Solution

    |

  18. Consider the expansion of ( 1+ x)^(2n+1) The coefficient of x^(99) ...

    Text Solution

    |

  19. If the coefficient of x^(7) in (ax^(2)+(1)/(bx))^(11) is equal to the ...

    Text Solution

    |

  20. The sum of the coefficeints of the polynominal (1 + x - 3x^(2))^(2163)...

    Text Solution

    |

  21. Sum of coefficients in the expansion of (x+2y+z)^(10) is

    Text Solution

    |