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Let d in R, and A= [{:(-2, " "4+d,("...

Let `d in R`, and
`A= [{:(-2, " "4+d,("sin"theta)-2),(1, ("sin"theta)+2," "d),(5,(2"sin"theta)-d,(-"sin"theta) + 2 +2d):}], theta in [theta, 2 pi].` If the minimum value of det(A) is 8, then a value of d is

A

`-5`

B

`2(sqrt2+2)`

C

`2(sqrt2+1)`

D

`-7`

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