MCQ
An objective function in a linear program can be which of the following?
- ✓A maximization function
- BA nonlinear maximization function
- CA quadratic maximization function
- DAn uncertain quantity
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$f(x)=\left|\begin{array}{ccc} \sin ^{2} x & 1+\cos ^{2} x & \cos 2 x \\ 1+\sin ^{2} x & \cos ^{2} x & \cos 2 x \\ \sin ^{2} x & \cos ^{2} x & \sin 2 x \end{array}\right|, x \in R \text { is }$
$P(x) = 2x^3 + x^2 + 3x - 2? $
$(i)$ It has exactly one positive real root.
$(ii)$ It has either one or three negative roots.
$(iii)$It has a root between $0$ and $1.$
$(iv)$ It must have exactly two real roots.
$(v)$ It has a negative root between $- 2$ and $-1.$
$(vi)$ It has no complex roots.