Let the numbers 2, b, c be in an A.P. and \({\rm{A}} = \left[ {\begin{array}{*{20}{c}}1&1&1\\2&{\rm{b}}&{\rm{c}}\\4&{{{\rm{b}}^2}}&{{{\rm{c}}^2}}\end{array}} \right].\) If det(A) ∈ [2, 16], then c lies in the interval:

Let the numbers 2, b, c be in an A.P. and \({\rm{A}} = \left[ {\begin{

1.	Let the numbers 2, b, c be in an A.P. and \({\rm{A}} = \left[ {\begin{array}{*{20}{c}}1&1&1\\2&{\rm{b}}&{\rm{c}}\\4&{{{\rm{b}}^2}}&{{{\rm{c}}^2}}\end{array}} \right].\) If det(A) ∈ [2, 16], then c lies in the interval:
A.	[2, 3)
B.	(2 + 23⁄4, 4)
C.	[4, 6]
D.	[3, 2 + 23⁄4]
Answer» D. [3, 2 + 23⁄4]