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(C) Optical activity requires the absence of a plane of symmetry and center of inversion.$I.$ $[Co(NO_2)_3(NH_3)_3]$ (facial and meridional isomers) a

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$III, VI$ only

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(C) Optical activity requires the absence of a plane of symmetry and center of inversion.$I.$ $[Co(NO_2)_3(NH_3)_3]$ (facial and meridional isomers) are achiral.$II.$ $cis-[RhCl_2(NH_3)_4]^+$ has a plane of symmetry,so it is achiral.$III.$ $[Cr(OX)_3]^{3-}$ is a $M(AA)_3$ type complex,which is chiral and optically active.$IV.$ $cis-[PtCl_2(en)]$ is a square planar complex,which is achiral due to the presence of a molecular plane.$V.$ $trans-[Cr(en)_2Br_2]^+$ has a plane of symmetry,so it is achiral.$VI.$ $cis-[Cr(en)_2Br_2]^+$ is a $M(AA)_2a_2$ type complex,which lacks a plane of symmetry and is chiral (optically active).Therefore,only $III$ and $VI$ are optically active.

Consider the following complex compounds and identify the compounds which are optically active.
$I.$ $[Co(NO_2)_3(NH_3)_3]$
$II.$ $cis-[RhCl_2(NH_3)_4]^+$
$III.$ $[Cr(OX)_3]^{3-}$
$IV.$ $cis-[PtCl_2(en)]$
$V.$ $trans-[Cr(en)_2Br_2]^+$
$VI.$ $cis-[Cr(en)_2Br_2]^+$

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Consider the following complex compounds and identify the compounds which are optically active.$I.$ $[Co(NO_2)_3(NH_3)_3]$$II.$ $cis-[RhCl_2(NH_3)_4]^+$$III.$ $[Cr(OX)_3]^{3-}$$IV.$ $cis-[PtCl_2(en)]$$V.$ $trans-[Cr(en)_2Br_2]^+$$VI.$ $cis-[Cr(en)_2Br_2]^+$