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Let the number 2, b,c be in an A.P. and ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ = 2 2 c b 4 c b 2 1 1 1 A . If det (A) ∈ [2, 16], then c lies in the interval -

1. (2 + 2 3/4 , 4)
2. [4, 6]
3. [3, 2 + 2 3/4 ]
4. [2, 3)

Correct answer: [4, 6]

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