The equation of the conic with focus at ...

The equation of the conic with focus at `(1,-1),` directrix along `x -y + 1=0` and with eccentricity `sqrt2,` is

A

`x ^(2) - y^(2)=1`

B

`xy=1`

C

` 2xy - 4x + 4y+ 1=0`

D

`2xy+ 4x -4y -1=0`

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The correct Answer is:

C

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