If f(x,y) is a homogeneous function of degree zero in x and y, then f(x,y) is a function of____alone.
Maths / Geometry MCQs — Multiple-choice practice
- A. y/x^2
- B. y/x
- C. xy
- D. y^2/x
Correct answer
y/x
Explanation
Explanation 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.
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