JEE Math Practice Question

Let m and M be respectively the minimum and maximum values of $$\left| {\begin{matrix} {{{\cos }^2}x} & {1 + {{\sin }^2}x} & {\sin 2x} \\ {1 + {{\cos }^2}x} & {{{\sin }^2}x} & {\sin 2x} \\ {{{\cos }^2}x} & {{{\sin }^2}x} & {1 + \sin 2x} \\ \end{matrix} } \right|$$ 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)