Mathematics · Homogeneous Functions
Match the Homogeneous functions in List I with their respective Degrees in List II: List I (Homogeneous function) A. f(x, y) = x 1/3 + y 1/3 x 1/2 + y 1/2 B. f(x, y) = x + y √x + √y C. f(x, y) = x 4 + y 4 x + y D. f(x, y) = √(x 3 + y 3 ) √x + √y List II (Degree) I. 3 II. 1/2 III. 1 IV. -1/6 Choose the correct match from the options given below:
- 1A - I, B - III, C - IV, D - II
- 2A - III, B - I, C - II, D - IV
- 3A - IV, B - II, C - I, D - III✓
- 4A - II, B - IV, C - I, D - III
Correct answer
A - IV, B - II, C - I, D - III
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