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 \(h^{2}\). The locus of the point \(P\) is
(A) \(x=y-1\)
(B) \(x=-(y-1)\)
(C) \(x=1+y\)
(D) \(x=-(1+y)\)
Ans: \((A, B)\)