Home
Class 12
MATHS
The coefficient of x^(10) in the expani...

The coefficient of ` x^(10)` in the expanion of
` (1 + x^(2) - x^(3))^(8)` , is

A

528

B

506

C

496

D

476

Text Solution

Verified by Experts

The correct Answer is:
d
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

The coefficient of x^(10) in the expansion of (1+x^(2)-x^(3))^(8) is 476b.496c.506d.528

The coefficient of x^(10) in the expansion of (1-2x+3x^(2)-4x^(3)+...oo)^(2) is

The coefficient of x^(4) in the expansion of (1-x-2x^(2))^(8) is

The coefficient of x^(n) in the expansion of ((1+x)^(2))/((1 - x)^(3)) , is

The coefficient of x^(8) in the expansion of (1+x+x^(2)+x^(3))^(4) is

The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(8) is

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

ML KHANNA-BINOMIAL THEOREM AND MATHEMATICAL INDUCTION -Self Assessment Test
  1. The coefficient of x^(10) in the expanion of (1 + x^(2) - x^(3))^...

    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

    |