Solutions of optically active isomers rotate the plane of polarized light in a polarimeter. Match the following columns $(I)$ with $(II), (III)$,and $(IV)$ correctly:

$(I)$ Optical Activity	$(II)$ Form	$(III)$ Sign	$(IV)$ Rotation
$(A)$ Dextrorotatory	$d$	$(+)$	Right
$(B)$ Laevorotatory	$l$	$(-)$	Left
$(C)$ Optically Inactive (Racemic)	$dl$	$(\pm)$	Zero rotation

(A) The optical activity of isomers is characterized by their effect on plane-polarized light:
$1$. Dextrorotatory $(d)$ isomers rotate the plane of polarized light to the right (clockwise) and are denoted by a $(+)$ sign.
$2$. Laevorotatory $(l)$ isomers rotate the plane of polarized light to the left (anticlockwise) and are denoted by a $(-)$ sign.
$3$. Racemic mixtures $(dl)$ consist of equal amounts of $d$ and $l$ isomers,resulting in zero net rotation,denoted by $(\pm)$.