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Let d in R and A= ((-2,4+d, sintheta-2),...

Let `d in R` and `A=` `((-2,4+d, sintheta-2),(1, sintheta+2,d),(5, 2sintheta-d, (-sintheta)+2+2d))` where `thetain[0,pi]`. If the minimum value of `det(A)` is 8, then the value of `d` is

A

`-7`

B

`-2(sqrt(2) + 1)`

C

`-5`

D

`2(sqrt(2) - 1)`

Text Solution

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The correct Answer is:
C
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