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Matrices and Determinants question

2020 · 6 Sep · Shift 1 · Q37
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  5. /2020 · 6 Sep · Shift 1 · Q37

Matrices and Determinants question

2020 · 6 Sep · Shift 1 · Q37

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let m and M be respectively the minimum and maximum values of ∣cos⁡2x1+sin⁡2xsin⁡2x1+cos⁡2xsin⁡2xsin⁡2xcos⁡2xsin⁡2x1+sin⁡2x∣\left| {\begin{matrix} {{{\cos }^2}x} & {1 + {{\sin }^2}x} & {\sin 2x} \\ {1 + {{\cos }^2}x} & {{{\sin }^2}x} & {\sin 2x} \\ {{{\cos }^2}x} & {{{\sin }^2}x} & {1 + \sin 2x} \\ \end{matrix} } \right|​cos2x1+cos2xcos2x​1+sin2xsin2xsin2x​sin2xsin2x1+sin2x​​ Then the ordered pair (m, M) is equal to :
  1. A
    (–3, –1)
  2. B
    (–4, –1)
  3. C
    (1, 3)
  4. D
    (–3, 3)
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