Three infinitely long linear charges of charge density $\lambda $ , $\lambda $ and $-2\lambda $ are placed in space. A point in space is specified by its perpendicular distance $r_1 , r_2 $ and $ r_3$ respectively from the linear charges. For the points which are equipotential
Diffcult
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$2{\rm{k}}\lambda \ln \left( {\frac{{\rm{a}}}{{{{\rm{r}}_1}}}} \right) + 2{\rm{k}}\lambda \ln \left( {\frac{{\rm{a}}}{{{{\rm{r}}_2}}}} \right) + 4{\rm{k}}\lambda \ln \left( {\frac{{\rm{a}}}{{{{\rm{r}}_3}}}} \right) = {\rm{c}}$
$=\frac{\mathrm{r}_{3}^{2}}{\mathrm{r}_{1} \mathrm{r}_{2}}=$ const.
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