Let \( \mathrm{m} \) and \( \mathrm{M} \) be respectively the minimum and maximum values of \( \left|\begin{array}{ccc}\…

Let \( \mathrm{m} \) and \( \mathrm{M} \) be respectively the minimum and maximum values of \( \left|\begin{array}{ccc}\cos ^{2} x & 1+\sin ^{2} x & \sin 2 x \\ 1+\cos ^{2} x & \sin ^{2} x & \sin 2 x \\ \cos ^{2} x & \sin ^{2} x & 1+\sin 2 x\end{array}\right| \). Then the ordered pair \( (\mathrm{m}, \mathrm{M}) \) is equal to :

[JEE Main 2020, 6 Sep (Shift 1)]