The the vertex of the conic y^(2)-4y=4x-...

The the vertex of the conic `y^(2)-4y=4x-4a` always lies between the straight lines `x+y=3 and 2x+2y-1=0` then

A

`2 lt a lt 4`

B

`-(1)/(2) lt a lt 2`

C

`0 lt a lt 2`

D

`-(1)/(2) lt a lt (3)/(2)`

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The correct Answer is:

B

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