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Locus of z in the following curves: Im(z...

Locus of `z` in the following curves: `Im(z)=|z-(1+2i)|` and `4-Im(z)=|z-(1+2i)|` represent `A` and `B` respectively. If locus of `z` in `arg (z-(1+2i))=theta` intersect `A` and `B` at points `P(z_(1))` and `Q(z_(2))` respectively, then minimum value of `|z_(1)-(1+2i)||z_(2)-(1+2i)|` is: `(Re(z_(1))+Re(z_(2))!=2)`

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