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Point P lie on hyperbola 2xy=1. A triang...

Point P lie on hyperbola `2xy=1`. A triangle is contructed by P, S and S' (where S and S' are foci). The locus of ex-centre opposite S (S and P lie in first quandrant) is `(x+py)^(2)=(sqrt(2)-1)^(2)(x-y)^(2)+q`, then the value of `p+q` is

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