If |(1,1,1),(2,b,c),(4,b^(2),c^(2))| and...

If `|(1,1,1),(2,b,c),(4,b^(2),c^(2))|` and `|A| = in [2, 16]. 2, b, c` and in A.P. the range of c is

A

`[3,2+2^(3//4)]`

B

`(2+2^(3//4), 4)`

C

`[4,6]`

D

`[2,3]`

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The correct Answer is:

C

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