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Matrices and Determinants question

2019 · 8 Apr · Shift 2 · Q32
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Matrices and Determinants question

2019 · 8 Apr · Shift 2 · Q32

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let the number 2,b,c be in an A.P. and A = [1112bc4b2c2]\left[ {\begin{matrix} 1 & 1 & 1 \\ 2 & b & c \\ 4 & {{b^2}} & {{c^2}} \\ \end{matrix} } \right]​124​1bb2​1cc2​​. If det(A) ∈\in∈ [2, 16], then c lies in the interval :
  1. A
    [2, 3)
  2. B
    [4, 6]
  3. C
    (2 + 23/4, 4)
  4. D
    [3, 2 + 23/4]
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