Question:

Match List I with List II
Homogeneous function Degree
A.f(x,y)=x13+y13x12+y12f(x,y)=\frac{x^\frac{1}{3}+y^\frac{1}{3}}{x^\frac{1}{2}+y^\frac{1}{2}}I.3
B.f(x,y)=x+yx+yf(x,y)=\frac{x+y}{\sqrt{x}+\sqrt{y}}II.12\frac{1}{2}
C.f(x,y)=x4+y4x+yf(x,y)=\frac{x^4+y^4}{x+y}III.1
D.f(x,y)=x3+y3x+yf(x,y)=\frac{\sqrt{x^3+y^3}}{\sqrt{x}+\sqrt{y}}IV.16-\frac{1}{6}
Choose the correct answer from the options given below:

Updated On: Mar 12, 2025
  • A II, B IV, CI, D III
  • A IV, B II, C I, D III
  • A III, B I, C II, D IV
  • A I, B III, C IV, D II
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The Correct Option is B

Solution and Explanation

The correct option is(B):A IV, B II, C I, D III
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