Three infinitely long wires with linear charge density \(\lambda\) are placed along the X-axis, Y-axis and Z-axis respec…

\begin{equation}
\left(x^2+y^2\right)\left(y^2+z^2\right)\left(z^2+x^2\right)=\text { constant }
\end{equation}

\begin{equation}
x y+y z+z x=\text { constant }
\end{equation}

\begin{equation}
\mathrm{xyz}=\text { constant }
\end{equation}

\begin{equation}
(x+y)(y+z)(z+x)=\text { constant }
\end{equation}