1.

If \[u={{\tan }^{-1}}\frac{y}{x}\], then by Euler?s Theorem the value of x \[\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=\]                                           [Tamilnadu (Engg.) 1993]

A.            \[\tan u\]
B.            \[\sin u\]
C.            \[0\]
D.            \[\cos 2u\]
Answer» D.            \[\cos 2u\]


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