The sum of the series $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{64}+\ldots \ldots . \infty$ is
$\frac{8}{7}$
$\frac{6}{5}$
$\frac{5}{4}$
$\frac{4}{3}$
If $F = \frac{2}{{\sin \,\theta + \sqrt 3 \,\cos \,\theta }}$, then minimum value of $F$ is
The slope of graph as shown in figure at points $1,2$ and $3$ is $m_1, m_2$ and $m_3$ respectively then
A particle moves along the straight line $y=3 x+5$. Which coordinate changes at a faster rate?
Frequency $f$ of a simple pendulum depends on its length $\ell$ and acceleration $g$ due to gravity according to the following equation $f=\frac{1}{2 \pi} \sqrt{\frac{ g }{\ell}}$. Graph between which of the following quantities is a straight line?