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Matrices and Determinants question

2020 · 5 Sep · Shift 1 · Q30
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  5. /2020 · 5 Sep · Shift 1 · Q30

Matrices and Determinants question

2020 · 5 Sep · Shift 1 · Q30

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If the minimum and the maximum values of the function f:[π4,π2]→Rf:\left[ {{\pi \over 4},{\pi \over 2}} \right] \to Rf:[4π​,2π​]→R, defined by f(θ)=∣−sin⁡2θ−1−sin⁡2θ1−cos⁡2θ−1−cos⁡2θ11210−2∣f\left( \theta \right) = \left| {\begin{matrix} { - {{\sin }^2}\theta } & { - 1 - {{\sin }^2}\theta } & 1 \\ { - {{\cos }^2}\theta } & { - 1 - {{\cos }^2}\theta } & 1 \\ {12} & {10} & { - 2} \\ \end{matrix} } \right|f(θ)=​−sin2θ−cos2θ12​−1−sin2θ−1−cos2θ10​11−2​​ are m and M respectively, then the ordered pair (m,M) is equal to :
  1. A
    (0,22)\left( {0,2\sqrt 2 } \right)(0,22​)
  2. B
    (-4, 0)
  3. C
    (-4, 4)
  4. D
    (0, 4)
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