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The equation of the parabola with focus ...

The equation of the parabola with focus (a, b) and directrix `x/a+y/b=1` is given by

A

`(ax - by )^(2) - 2a ^(3) x -2b^(3) y+ a ^(4) + a^(2) b^(2) + b^(4) =0`

B

`(ax+by) ^(2) - 2a ^(3) x - 2b^(3) y -a ^(4) + a^(2) b^(2) -b ^(4) =0`

C

`(ax - by)^(2) + a^(4) + b^(4) -2a ^(3) x =0`

D

`(ax-by)^(2) -2a ^(3) x =0`

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The correct Answer is:
A
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