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If A = (-1,2) and B=(1,-2) are two point...

If `A = (-1,2) and B=(1,-2)` are two points and P is a variable point such that the area of `Delta PAB` is always one, then the equation of the locus of P is

A

`4x ^(2) + 4xy + y ^(2) =1`

B

` x ^(2) + 10 xy + 25 y^(2) - 34 - 170 y =0`

C

`x ^(2)-6xy + 9y ^(2)+ 22x - 66y -23=0`

D

`16x ^(2) - 24 xy + 9y^(2) - 62x + 34y + 46 =0`

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A
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