Name the type of isomerism exhibited by the following compounds. Also, draw their corresponding isomers.
(I) \( [\text{Co(NH}_3\text{)}_6][\text{Cr(CN)}_6] \)
(II) \( [\text{Co(en)}_3]^{3+} \)
(III) \( [\text{Co(NH}_3\text{)}_3(\text{NO}_2)_3] \)
(I) The complex \( [\text{Co(NH}_3\text{)}_6][\text{Cr(CN)}_6] \) exhibits ionization isomerism. Ionization isomerism arises when the exchange of ligands between the cationic and anionic parts results in the formation of different ions in solution.
(II) The complex \( [\text{Co(en)}_3]^{3+} \) exhibits linkage isomerism, as the ethylenediamine (en) ligand can bind through different sites.
(III) The complex \( [\text{Co(NH}_3\text{)}_3(\text{NO}_2)_3] \) exhibits geometric isomerism, as the arrangement of ligands around the metal ion can vary.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).