Indicate the types of isomerism exhibited by the following complexes and draw the structures for these isomers:
$(i)$ $K[Cr(H_2O)_2(C_2O_4)_2]$
$(ii)$ $[Co(en)_3]Cl_3$
$(iii)$ $[Co(NH_3)_5(NO_2)](NO_3)_2$
$(iv)$ $[Pt(NH_3)(H_2O)Cl_2]$

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(N/A) $(i)$ $K[Cr(H_2O)_2(C_2O_4)_2]$ exhibits geometrical isomerism (cis and trans forms) and optical isomerism (the cis-isomer is optically active).
$(ii)$ $[Co(en)_3]Cl_3$ exhibits optical isomerism due to the presence of the bidentate ligand $en$ (ethylenediamine),forming non-superimposable mirror images (d and l forms).
$(iii)$ $[Co(NH_3)_5(NO_2)](NO_3)_2$ exhibits linkage isomerism because the $NO_2^-$ ligand can coordinate through either the $N$ atom or the $O$ atom $(ONO^-)$,and ionization isomerism due to the exchange of $NO_2^-$ and $NO_3^-$ ions.
$(iv)$ $[Pt(NH_3)(H_2O)Cl_2]$ exhibits geometrical isomerism (cis and trans forms) due to the square planar geometry of the $Pt(II)$ complex.

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An octahedral complex of $M^{+3}$ with $NH_3$ and $NO_2^{-}$ ligands has four $M-N$ linkages and two $M-O$ linkages. Which type of isomerism will such a complex exhibit?

Match List-$I$ with List-$II$ :
List-$I$ List-$II$
$(a).$ $[Co(NH_3)_6][Cr(CN)_6]$ $(i).$ Linkage isomerism
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$(c).$ $[Cr(H_2O)_6]Cl_3$ $(iii).$ Coordination isomerism
$(d).$ $cis-[CrCl_2(ox)_2]^{3-}$ $(iv).$ Optical isomerism

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$1$. $[MnCl_6]^{3-}$
$2$. $[FeF_6]^{3-}$
$3$. $[CoF_6]^{3-}$
$4$. $[Ni(NH_3)_6]^{2+}$

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