Let the numbers 2, b, c be in an AP and ...

Let the numbers 2, b, c be in an AP and `A= [{:(1, 1,1), (2, b, c),(4, b^(2), c^(2)):}]` If `"det"(A) in [2, 16]`, then c lies in the interval.

A

`[2,3]`

B

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

C

`[4, 6]`

D

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

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The correct Answer is:

C

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