The equation of the conic with focus at P \( (1,-1) \), directrix a...

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The equation of the conic with focus at
P \( (1,-1) \), directrix along \( x-y+1=0 \) and with

W eccentricity \( \sqrt{2} \) is
(1) \( x^{2}-y^{2}=1 \)
(2) \( x y=1 \)
(3) \( 2 x y-4 x+4 y+1=0 \)
(4) \( 2 x y+4 x-4 y-1=0 \)
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