Consider two lines \( L_{1} \equiv x-y=0 \) and \( L_{2} \equiv x+y=0 \)
and a moving point \( P.... VIDEO
Consider two lines \( L_{1} \equiv x-y=0 \) and \( L_{2} \equiv x+y=0 \)
\( \mathrm{P} \)
and a moving point \( P(x, y) \). Let \( d\left(P, L_{\mathrm{i}}\right), i=1,2 \) represents the perpendicular distance of the point \( P \) from \( L_{\mathrm{i}} \). If point \( P \) moves in certain region \( R \) in such a way that \( \sum_{i=1}^{2} d\left(P, L_{i}\right) \in[2,4] \). Let the area of region \( R \) is \( A \), then then \( \frac{A}{4} \) is equals.
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