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[abx+a^2y+1]^2009 is a polynomial in x and y if the sum of the coefficients vanishes for some real value of a .Then possible values of b are
Dear Utkarsha,
[abx+a^2y+1]^2009
sum of coefficient of the binomial expansion we get by putting x = y = 1
we get
[ab+a^2+1]^2009 this value vanishes only when
ab+a^2+1 = 0
now for real values of a put discriminant as greater than equal to 0
we will get the range of b and the corresponding value of a will be the required values
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