If f(x,y) is a homogeneous function of degree zero in x and y, then f(x,y) is a function of____alone.

y^2/x

y/x^2

y/x

If f(x,y) is a homogeneous function of degree zero in x and y, then it satisfies the property: f(ax,ay) = f(x,y)

for any non-zero constant a.

Since the degree is zero, we can write:

f(x,y) = f(1, y/x)

This shows that f(x,y) is a function of y/x alone.