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 x and `x^(2)` are 3 and -6 respective then m is

A

6

B

9

C

12

D

24

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST PAPER -III

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos
  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (1+x+x^(3)+x^(4))^(4) , the coefficient of x^(4) is:

In the expansion of (1+x)^(n) the coefficients of pth and (p+1)^(th) terms are respectively p and q then p+q =

If in the expansion of (1+px)^(n),n in N , the coefficial of x and x^(2) are 8 and 24, than the values of n and p are:

In the binomial expansion of (1+x)^(15) , the coefficients of x^(r ) and x^(r+3) are equal. Then r is

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

If x^(r ) occurs in the expansions of (x+(1)/(x))^(n) then its coefficient is

In the expansion of (1+x)^(n) , coefficients of 2^(text (nd )) 3^(rd) and 4^(th) terms are in A.P., then n =

In the expansion of (1+x)^(50) , the sum of the coefficients of odd powers of x is :

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

MODERN PUBLICATION-MOCK TEST PAPER -IV-SELECT THE CORRECT ANSWER
  1. The number of triangles in a complete graph with 10 non collinear vert...

    Text Solution

    |

  2. If x^(r ) occurs in the expansions of (x+(1)/(x))^(n) then its coeff...

    Text Solution

    |

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

    Text Solution

    |

  4. If the straight line ax +by+c=0 always passes through (1,-2) then a,b,...

    Text Solution

    |

  5. A straight line through P(1,2) is such that the intercept between the...

    Text Solution

    |

  6. If the line through A=(4,-5) is inclined at an anlge 45^(@) with the p...

    Text Solution

    |

  7. The mean and variance for the data 6,7,10,12,13,4,8,12 respectively ar...

    Text Solution

    |

  8. If tan(x+y)=33, and x= tan^(-1)3, then: y=

    Text Solution

    |

  9. Prove that: (sin x - sin 3x)/(sin^(2)x-cos^(2)x)=2sinx

    Text Solution

    |

  10. The number of solution of the eqution |cot x|=cot x+(1)/(sin x)(0 le x...

    Text Solution

    |

  11. The number of solution of the eqution |cot x|=cot x+(1)/(sin x)(0 le x...

    Text Solution

    |

  12. cot^(-1)(21) +cot^(-1)(13)+co^(-1)(8)=

    Text Solution

    |

  13. tan(cos^(-1)(1)/(5sqrt(2))-sin^(-1)(4)/sqrt(17)) is

    Text Solution

    |

  14. If a,b,c are A.P then the value of the determinant |(x+2,x+3,x+2a),...

    Text Solution

    |

  15. If A = [(alpha,2),(2,alpha)]and A^(3)=27 then alpha =

    Text Solution

    |

  16. If A ={:[(1,0),(1,1)]:} and A^(8) =aA+bI , then (a,b) =

    Text Solution

    |

  17. If A ={:[(a,0,0),(0,a,0),(0,0,a)]:} then det (Adj A) is

    Text Solution

    |

  18. lim(x rarr oo) (sqrt(a^(2) x^(2) + bx + c) - ax) =

    Text Solution

    |

  19. If y = log 1-x^(x^(2))/(1+x^(2)) then (dy)/(dx) is equal to

    Text Solution

    |

  20. If f(x)=log(x^(2))(log x) , then f(x) at x=e is

    Text Solution

    |