If $F = \frac{2}{{\sin \,\theta + \sqrt 3 \,\cos \,\theta }}$, then minimum value of $F$ is
$0$
$-2$
$1$
$2$
The greatest value of the function $-5 \sin \theta+12 \cos \theta$ is
The equation of a curve is given as $y=x^2+2-3 x$. The curve intersects the $x$-axis at
In the given figure, each box represents a function machine. A function machine illustrates what it does with the input.Which of the following statements is correct?