Home
Class 11
MATHS
Find the positive value of m for which t...

Find the positive value of m for which the coefficient of `x^2` in the expansion of `(1+x)^m` is 6.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|80 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^4 in the expansion of (1-x^2)^n

The coefficient of x^(5) in the expansion of (x+3)^(8) is

Find the coefficient of x^6y^3 in the expansion of (x+2y)^9

The coefficient of x^(4) in the expansion of (1 - 2x)^(5) is equal to

Find the coefficient of x^11 in the expansion of (x-2/x^2)^17

Find the coefficient of x^4 in the expansion of (1+x)^n(1-x)^n

Find the coefficient of x^5y^7 in the expansion of (x-2y)^12 .

V PUBLICATION-BINOMIAL THEORM-QUESTIONBANK
  1. The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the positive value of m for which the coefficient of x^2 in the e...

    Text Solution

    |

  4. Find the term independent of x in the expansion of ((3x^2)/2-1/(3x))^6

    Text Solution

    |

  5. If the coefficients of a^(r-1), a^r and a^(r+1) in the expansion of (1...

    Text Solution

    |

  6. Show that the coefficient of the middle term in the expansion of (1+x)...

    Text Solution

    |

  7. Find the coefficient of a^4 in the product (1+2 a)^4 (2-a)^5 using bin...

    Text Solution

    |

  8. Find the r^ (th) term from the end in the expansion of (x+a)^n .

    Text Solution

    |

  9. Find the term independent of x in the following expansion. (root(3)(...

    Text Solution

    |

  10. If the coefficients of (r-5)^( th) and (2 r-1)^ (th) terms in the ex...

    Text Solution

    |

  11. Find a, b and n in the expansion of (a+b)^n if the first three terms o...

    Text Solution

    |

  12. Find a if the coefficients of x^2 and x^3 in the expansion of (3+ax)^9...

    Text Solution

    |

  13. Find the coefficient of x^5 in the product (1+2x)^6(1-x)^7 using binom...

    Text Solution

    |

  14. If a and b are distinct integers prove that a-b is a factor of a^n-b^n...

    Text Solution

    |

  15. Evaluate (sqrt3+sqrt2)^6-(sqrt3-sqrt2)^6

    Text Solution

    |

  16. Find the value of (a^2+sqrt(a^2-1))^4+(a^2-sqrt(a^2-1))^4

    Text Solution

    |

  17. Find an approximation of (0.99)^5 using the first three terms of its e...

    Text Solution

    |

  18. Expand using Binomial theorem (1+x/2-2/x)^4,xne0

    Text Solution

    |

  19. Find the expansion of (3x^2-2ax+3a^2)^3 using Binomial theorem

    Text Solution

    |

  20. i) Using Binomial theorem find an expansion of (1+x)^n ii) Obtain the...

    Text Solution

    |