A tangent and a normal are drawn at the ...

A tangent and a normal are drawn at the point P(2,-4) on the parabola `y^(2)=8x`, which meet the directrix of the parabola at the points A and B respectively. If Q (a,b) is a point such that AQBP is a square , then 2a+b is equal to :

`-12`

`-20`

`-18`

`-16`

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