If the points \( 1+2 \mathrm{i} \) and \( -1+4 \mathrm{i} \) are real reflections of each other ....

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If the points \( 1+2 \mathrm{i} \) and \( -1+4 \mathrm{i} \) are real reflections of each other in the line \( z(1+i)+\bar{z}(1-i)+K=0 \), then
\( \mathrm{P} \)
the value of \( K \) is


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