If \[u={{e}^{-{{x}^{2}}-{{y}^{2}}}}\], then [EAMCET 2001]

\[{{x}^{2}}{{u}_{y}}+{{y}^{2}}{{u}_{x}}=0\]

If \[u={{e}^{-{{x}^{2}}-{{y}^{2}}}}\], then �

1.	If \[u={{e}^{-{{x}^{2}}-{{y}^{2}}}}\], then [EAMCET 2001]
A.	\[x{{u}_{x}}=y{{y}_{y}}\]
B.	\[y{{u}_{x}}=x{{u}_{y}}\]
C.	\[y{{u}_{x}}+x{{u}_{y}}=0\]
D.	\[{{x}^{2}}{{u}_{y}}+{{y}^{2}}{{u}_{x}}=0\]
Answer» C. \[y{{u}_{x}}+x{{u}_{y}}=0\]

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If \[u={{e}^{-{{x}^{2}}-{{y}^{2}}}}\], then [EAMCET 2001]

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