The equation of the conic with focus at \( (1,-1) \), directrix along \( x-y+1=0 \) and with ecc...
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0The equation of the conic with focus at \( (1,-1) \), directrix along \( x-y+1=0 \) and with eccentricity \( \sqrt{2} \), is
(A) \( x^{2}-y^{2}=1 \)
(B) \( 2 x y-4 x+4 y+1=0 \)
(C) \( x y=1 \)
(D) \( 2 x y+4 x-4 y-1=0 \)
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