Home
Class 11
MATHS
Prove that the ratio of the coefficient ...

Prove that the ratio of the coefficient of `x^10` in `(1 - x^2)^10` & the term independent of `x` in `(x-2/x)^10` is `1:32`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RS AGGARWAL|Exercise EXERCISE 10B|16 Videos

  • BINOMIAL THEOREM

    RS AGGARWAL|Exercise EXERCISE 10B|16 Videos

  • ARITHMETIC PROGRESSION

    RS AGGARWAL|Exercise Exercise 11F (Very Short-Answer Type Questions)|17 Videos

  • CIRCLE

    RS AGGARWAL|Exercise EXERCISE 21 B|18 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^4 in (1 + x + x^2)^10

If the ratio of the coefficient of x^(10) in (1-x^(2))^(10) and term independent of x in (x-2/x)^(10) is p/q (where p and q are relative prime numbers) then q/8-p is

The ratio of the coefficient of x^(15) to the term independent of x in the expansion of (X^(2)+(2)/(x))^(15) is

Find the term independent of x in (6x^(2)-(1)/(7x^(3)))^(10)

Findthe coefficient of x^2 in (x+1/x)^10.(1-x+2x^2)

coefficient of x^(5) in (1+x+x^(2)+x^(3))^(10) is

The ratio of the coefficients of x(4) to that of the term independent of x in the expansion of (x^(2)+(9)/(x^(2)))^(18) is ____________

RS AGGARWAL-BINOMIAL THEOREM-EXERCISE 10A
  1. If the coefficients of x^7 and x^8 in the expansion of [2 +x/3]^n a...

    Text Solution

    |

  2. The ratio of the coefficient of x^(15) to the term independent of x in...

    Text Solution

    |

  3. Prove that the ratio of the coefficient of x^10 in (1 - x^2)^10 & the ...

    Text Solution

    |

  4. Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//2...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the coefficient of (i) x^(5)" in the expansion of "(x+3)^(8) (...

    Text Solution

    |

  7. Show that the term containing to does not exist in the expansion of (3...

    Text Solution

    |

  8. Does the expansion of (2x^2-1/x)^(20) contain any term involving x^9?

    Text Solution

    |

  9. Show that the expansion of (x^2+1/x)^1 does not contain any term invol...

    Text Solution

    |

  10. Write the general term in the expansion of (x^(2)-y)^(6).

    Text Solution

    |

  11. Find the 5th term from the end in the expansion of (x-1/x)^(12).

    Text Solution

    |

  12. Find the 4th term from the end in the expansion of ((4x)/5-5/(2x))^9do...

    Text Solution

    |

  13. If the 7th terms from the beginning and end in the expansion of ( root...

    Text Solution

    |

  14. Find the middle term in the expansion of : (i) 3+x)^(6) (ii)(...

    Text Solution

    |

  15. Find the two middle terms in the expansion of : (i) (x^(2)+a^(2))^(5) ...

    Text Solution

    |

  16. Find the term independent of x in the expansion of : (i) (2x+1/(3x^(...

    Text Solution

    |

  17. Find the coefficent of x^(5) in the expansion of (1+x)^(3)(1-x)^(6).

    Text Solution

    |

  18. Find numerically greatest term in the expansion of (2 + 3 x)^9, when x...

    Text Solution

    |

  19. 17. If the coefficients of 2nd, 3rd and 4th terms in the expansion of ...

    Text Solution

    |

  20. Find the 6th term of the expansion (y^(1//2) + x^(1//3))^(n) , if the ...

    Text Solution

    |