If \(\begin{array}{l} H = {\tan ^{ - 1}}\frac{x}{y}\\ \end{array}\), x = u + v, y = u - v then \(\begin{array}{l} \frac{{\partial H}}{{\partial V}}\\ \end{array}\)is

\(\frac{{ - v}}{{\mathop u\nolimits^2 + \mathop v\nolimits^2 }}\)

\(\frac{u}{{\mathop u\nolimits^2 + \mathop v\nolimits^2 }}\)

\(\frac{u}{{\mathop x\nolimits^2 + \mathop y\nolimits^2 }}\)

\(\frac{{ - 2v}}{{\mathop x\nolimits^2 + \mathop y\nolimits^2 }}\)

If \(\begin{array}{l} H = {\tan ^{ - 1}}\frac{x}{y}\\ \end{array}\),

1.	If \(\begin{array}{l} H = {\tan ^{ - 1}}\frac{x}{y}\\ \end{array}\), x = u + v, y = u - v then \(\begin{array}{l} \frac{{\partial H}}{{\partial V}}\\ \end{array}\)is
A.	\(\frac{u}{{\mathop u\nolimits^2 + \mathop v\nolimits^2 }}\)
B.	\(\frac{{ - v}}{{\mathop u\nolimits^2 + \mathop v\nolimits^2 }}\)
C.	\(\frac{u}{{\mathop x\nolimits^2 + \mathop y\nolimits^2 }}\)
D.	\(\frac{{ - 2v}}{{\mathop x\nolimits^2 + \mathop y\nolimits^2 }}\)
Answer» B. \(\frac{{ - v}}{{\mathop u\nolimits^2 + \mathop v\nolimits^2 }}\)

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If \(\begin{array}{l} H = {\tan ^{ - 1}}\frac{x}{y}\\ \end{array}\), x = u + v, y = u - v then \(\begin{array}{l} \frac{{\partial H}}{{\partial V}}\\ \end{array}\)is

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