Question: Separating positive, negative and indeterminate terms of a given expression

Suppose that I have an expression of the form  eq:=a*x^2+b*y^2+c*x*y, where x,y are real numbers, a>0, b<0, and c>0. Is there a relatively simple way to separate the positive, negative, and indeterminate terms from such an expression. In other words, I want to get  

eq_positive=a*x^2,

 eq_negative=b*y^2,

eq_indeterminate=c*x*y.

Thanks

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