If $F = \frac{2}{{\sin \,\theta + \sqrt 3 \,\cos \,\theta }}$, then minimum value of $F$ is
$0$
$-2$
$1$
$2$
The slope of the tangent to the curve $y = ln\, (cos\,x)$ a $x = \frac{3\pi}{4}$ is
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?
The greatest value of the function $-5 \sin \theta+12 \cos \theta$ is
The sum of the series $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{64}+\ldots \ldots . \infty$ is