Question: if the utility function is U ( X , Y ) = X ^ 2 + Y ^ 2 , the marginal rate of substitution

if the utility function is U(X, Y)= X^2+ Y^2, the marginal rate of substitution between X and Y is not equal to the ratio of their coefficients (2X:2Y), but it is constant at -X/Y. how is the marginal rate of sbustitution not equal ro the ratio of their coefficients ?

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