The area of the triangle formed by the intersection of a line paral...

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The area of the triangle formed by the intersection of a line parallel to \( x \)-axis and passing through \( P(h, k) \) with the lines \( y=x \) and \( x+y=2 \) is \( 4 h^{2} \). Find the locus of the point \( P \).
\( \mathrm{P} \)
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