Let m and M be respectively the minimum and maximum values of | cos ²x 1 + sin ²x sin 2x 1 + cos ²x sin ²x sin 2x cos ²x sin ²x 1 + sin 2x | Then the ordered pair (m, M) is equal to:

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 6 Sep, Morning shift · Q4459

JEE Main 20206 Sep, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let m and M be respectively the minimum and maximum values of

\left| {\matrix{ {{{\cos }^2}x} & {1 + {{\sin }^2}x} & {\sin 2x} \cr {1 + {{\cos }^2}x} & {{{\sin }^2}x} & {\sin 2x} \cr {{{\cos }^2}x} & {{{\sin }^2}x} & {1 + \sin 2x} \cr } } \right|

Then the ordered pair (m, M) is equal to :

JEE Main 2020 · 6 Sep, Morning shift · Q4459

JEE Main 20206 Sep, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let m and M be respectively the minimum and maximum values of

\left| {\matrix{ {{{\cos }^2}x} & {1 + {{\sin }^2}x} & {\sin 2x} \cr {1 + {{\cos }^2}x} & {{{\sin }^2}x} & {\sin 2x} \cr {{{\cos }^2}x} & {{{\sin }^2}x} & {1 + \sin 2x} \cr } } \right|

Then the ordered pair (m, M) is equal to :