At someplace, the vertical component of the Earth's magnetic field is $B_{\mathit{V}}\mathit{=}\frac{{\mathit{\mu }}_{\mathit{0}}}{\mathit{4}\mathit{\pi }}\frac{\mathit{2}\mathit{m}\mathit{c}\mathit{o}\mathit{s}\mathit{\theta }}{{\mathit{r}}^{\mathit{3}}}$ and the horizontal component of the Earth's magnetic field is $B_{\mathit{H}}\mathit{=}\frac{{\mathit{\mu }}_{\mathit{0}}}{\mathit{4}\mathit{\pi }}\frac{\mathit{m}\mathit{s}\mathit{i}\mathit{n}\mathit{\theta }}{{\mathit{r}}^{\mathit{3}}}$, where all the symbols have their usual meaning. Now, find the loci of point for which dip angle is $\pm 45°$: