Assertion (A): [Cr(H_2O)_6]Cl_2 and [Fe(H_2O)_6]Cl_2 are examples of homoleptic complexes.
Reason (R): All the ligands attached to the metal are the same.
Assertion (A) is false, but Reason (R) is true.
Step 1: Understanding homoleptic complexes. Homoleptic complexes are those in which all the ligands attached to the central metal atom are the same. Both \([Cr(H_2O)_6]Cl_2\) and \([Fe(H_2O)_6]Cl_2\) are examples of homoleptic complexes, as all the ligands in each complex are water molecules.
Step 2: Conclusion. Since Assertion (A) is true, and Reason (R) correctly explains it, the correct answer is option (A).
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 \(P,O,Q\).