If \[{{x}^{3}}+{{y}^{3}}-3axy=0\], then \[\frac{dy}{dx}\] equals[RPET 1996]

\[\frac{ay-{{x}^{2}}}{ay-{{y}^{2}}}\]

\[\frac{ay-{{x}^{2}}}{{{y}^{2}}-ax}\]

\[\frac{{{x}^{2}}+ay}{{{y}^{2}}+ax}\]

\[\frac{{{x}^{2}}+ay}{ax-{{y}^{2}}}\]

If \[{{x}^{3}}+{{y}^{3}}-3axy=0\], then \[\frac{dy}{dx}\] equals[RPET

1.	If \[{{x}^{3}}+{{y}^{3}}-3axy=0\], then \[\frac{dy}{dx}\] equals[RPET 1996]
A.	\[\frac{ay-{{x}^{2}}}{{{y}^{2}}-ax}\]
B.	\[\frac{ay-{{x}^{2}}}{ay-{{y}^{2}}}\]
C.	\[\frac{{{x}^{2}}+ay}{{{y}^{2}}+ax}\]
D.	\[\frac{{{x}^{2}}+ay}{ax-{{y}^{2}}}\]
Answer» B. \[\frac{ay-{{x}^{2}}}{ay-{{y}^{2}}}\]