Write the equation of the parabola with ...

Write the equation of the parabola with focus (0,0) and directrix `x+y-4=0.`

A

`x^(2)+ y^(2)-2xy+8x+8y-16=0`

B

`x^(2)+y^(2)-2xy+8x+8y=0`

C

`x^(2)+y^(2)+8x+8y-16=0`

D

`x^(2)-y^(2)+8x+8y-16=0`

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The correct Answer is:

A

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