Question

A function $F(x,y)$ is said to be homogeneous function of degree $n$, if for any non-zero constant $\lambda$,

• A. $F(\lambda x,\lambda y)={\lambda }^{n}F(x,y)$
• B. $F(\lambda x,y)={\lambda }^{n}F(x,y)$
• C. $F(x,\lambda y)={\lambda }^{n}F(x,y)$
• D. $F(\lambda x,\lambda y)=\lambda F(x,y)$

Answer 1

Answer: (A)

A function $F(x,y)$ is said to be homogeneous function of degree $n$ if $F(\lambda x,\lambda y)={\lambda }^{n}F(x,y)$ for any non-zero constant $\lambda$.