Home
Class 12
MATHS
If in the expansion of (1+x)^(m)(1-x)^(n...

If in the expansion of `(1+x)^(m)(1-x)^(n)` the coefficients of `xandx^(2)` are 3 (-6) respectively then , find the value of m .

Text Solution

Verified by Experts

The correct Answer is:
m = 12
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise EXERCISE ( Long answer Type Questions )|40 Videos

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Correct Answers Type)|5 Videos

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise EXERCISE (Very short answer Type Questions )|30 Videos

  • BINOMIAL DISTRUTION

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

  • CALCULUS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2014)|2 Videos

Similar Questions

Explore conceptually related problems

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

In the expansion of (1+x)^(m+n) the co-efficient of x^m is

In the expansion of (1+x+x^2+x^3)^6 , the coefficient of x^(14) is

If x^m occurs in the expansion of (x+(1/x^2))^(2n) then the coefficient of x^m is

If in the expansion of (1+x)^(n) the coefficient of 2nd, 3rd and 4th terms are in A.P., then the value of n is-

Which terms in the expansion of (x+(1)/(2x))^(3n) has the greatest coefficient ?

If the coefficient of x^(r)andx^(r+1) are equal in the expansion of (1+x)^(2n+1) , then find the value of r .

Show that the coefficients of x^(m) and x^(n) are equal to the expansion of (1+x)^(m+n) .

If the coefficient of x^(3) in the expansion of (x^(2) + (k)/(x))^(6) be 160, then the value of k is-

If A and B are coefficients of x^n in the expansions of (1+x)^(2n) and (1+x)^(2n-1) respectively, then A/B is equal to

CHHAYA PUBLICATION-BINOMIAL THEOREM -EXERCISE ( short answer Type Questions )
  1. Let n ge 5 b ne0, if in the binomial of (a-b)^(n), the sum of the 5th...

    Text Solution

    |

  2. If the coefficients of x^(2) and x^(11) in the expansion of (1+ax+2x^(...

    Text Solution

    |

  3. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of xandx^(...

    Text Solution

    |

  4. Use binomial theorem to show that if nge1 is an integer then , (a) ...

    Text Solution

    |

  5. n(gt1) is a positive integer . Show that 14^(n)-13n-1 is divisible by...

    Text Solution

    |

  6. For every natural number n(gt1) , show that , 4^(n)+15n-1 is divisible...

    Text Solution

    |

  7. If n is a positive integer (gt1) , show that, (4^(2n+2)-15n-16) is a...

    Text Solution

    |

  8. Using binomial theorem find the value : (0.999)^(4) [correct to thr...

    Text Solution

    |

  9. Using binomial theorem find the value : (1.02)^(4) [correct to two ...

    Text Solution

    |

  10. Write down the expansion of (4x-(y)/(4))^(4). By giving suitable valu...

    Text Solution

    |

  11. Prove that , (x^(n))/(n!)+(x^(n-1).a)/((n-1)!1!)+(x^(n-2).a^(2))/((n-2...

    Text Solution

    |

  12. Two successive terms in the expansion of (2+(1)/(2))^9 are equal . ...

    Text Solution

    |

  13. If n be a positive integer and the sums of the odd terms ans even term...

    Text Solution

    |

  14. If n be a positive integer and the sums of the odd terms ans even term...

    Text Solution

    |

  15. Find the value of (1+x)^(n)+^(n)C(1)(1+x)^(n-1).(1-x)+^(n)C(2)(1+x)^...

    Text Solution

    |

  16. If n be positive integer , show that the algebraic sum of the numerica...

    Text Solution

    |

  17. Show that the sum of the coefficients of the odd terms in the expansio...

    Text Solution

    |

  18. If (1+x+x^(2))^(n)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)+.....+a(2n)x^(2n)" p...

    Text Solution

    |

  19. If a(r) be the coefficient of x^(r) in the expression of (1+bx^(2)+cx^...

    Text Solution

    |

  20. In a binomial expansion if the coefficients of two successive terms ar...

    Text Solution

    |