Question

If \[F(\lambda x,\lambda y)=F(x,y)\] for any non-zero constant \[\lambda\], what is the degree of \[F(x,y)\]?

विकल्प

• The function is not homogeneous.

• Degree \[0\]

• Degree \[1\]

• Degree \[n\] only when \[n=1\]

Answer 1

For degree \[0\], \[\lambda^{0}=1\]. Therefore \[F(\lambda x,\lambda y)=\lambda^{0}F(x,y)=F(x,y)\], so the function is homogeneous of degree \[0\].