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For the natural number m, n, if ( 1- y )...

For the natural number m, n, if `( 1- y ) ^(m) (1 + y) ^( n) =1 + a _(1) y + a _(2) y ^(2) + ...+ a _( m + n) y ^( m +n) and a _(1) = a _(2) = 10,` then the value of (m+n) is equal to :

A

100

B

80

C

83

D

64

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Knowledge Check

  • For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a_(1)y+a_(2)y^(2) + "……." and a_(1) = a_(2) = 10 , then (m,n) is :

    A
    (35,20)
    B
    (45,35)
    C
    (35,45)
    D
    (20,45)

  • For natural numbers m, n if (1-y)^(m)(1+y)^(n)= 1+a_(1)y+a_(2)y^(2)+ … and a_(1)=a_(2)=10 , then (m, n) is

    A
    (35, 20)
    B
    (45, 35)
    C
    (35, 45)
    D
    (20, 45)

  • If m^n - m = (m - n)! where m > n > 1 and m = n^2 then the value of m^2 + n^2 is :

    A
    272
    B
    90
    C
    20
    D
    none of (a), (b), (c)
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