Racemic mixture is optically inactive due to the presence of _______.

About a racemic mixture, some statements are given below:

$\left(\mathrm{i}\right)$It is a mixture of ($\mathrm{d}$) and ($\mathrm{l}$) isomers in equimolar proportion
$\left(\mathrm{ii}\right)$ It is a mixture of two optical isomers in equal proportions by weights.
$\left(\mathrm{iii}\right)$ It may be laevo-rotatory or dextro-rotatory
$\left(\mathrm{iv}\right)$It rotates the plane of polarisation of light by equal angles on both the sides.

Among the following, the FALSE statements are ______.