(A) \(\text{SnCl}_2 \cdot 2\text{H}_2\text{O}\) acts as a reducing agent since \(Sn^{2+}\) tends to convert into \(Sn^{4+}\). This is evident in reactions where \(SnO_2\) reacts with KOH to form \(\text{K}_2\text{SnO}_3\) and water, or where SnO2 reacts with a base to form the amphoteric compound \(\text{K}_2[\text{Sn}(\text{OH})_6]\)
(B) When testing for first group cations (such as \(Pb^{2+}\)), they form insoluble chlorides (e.g., PbCl2) with HCl. However, PbCl2 is slightly soluble in water, and thus, lead ions may not be completely precipitated when hydrochloric acid is added. The remaining \(Pb^{2+}\) ions can then be quantitatively precipitated with H2S in an acidic medium. Therefore, the filtrate of the first group contains a solution of PbCl2 in HCl, consisting of \(Pb^{2+}\) and \(Cl^-\) ions. However, in the presence of concentrated HCl or excess HCl, \(\text{H}_2[\text{PbCl}_4]\) can be formed. Additionally, reactions such as Pb3O4 with HNO3 can produce PbO2, Pb(NO3)2, and water, or PbO.PbO2 in a non-redox reaction.
Therefore, options A, B be correct answers.
Method used for separation of mixture of products (B and C) obtained in the following reaction is: 
Let $ P(x_1, y_1) $ and $ Q(x_2, y_2) $ be two distinct points on the ellipse $$ \frac{x^2}{9} + \frac{y^2}{4} = 1 $$ such that $ y_1 > 0 $, and $ y_2 > 0 $. Let $ C $ denote the circle $ x^2 + y^2 = 9 $, and $ M $ be the point $ (3, 0) $. Suppose the line $ x = x_1 $ intersects $ C $ at $ R $, and the line $ x = x_2 $ intersects $ C $ at $ S $, such that the $ y $-coordinates of $ R $ and $ S $ are positive. Let $ \angle ROM = \frac{\pi}{6} $ and $ \angle SOM = \frac{\pi}{3} $, where $ O $ denotes the origin $ (0, 0) $. Let $ |XY| $ denote the length of the line segment $ XY $. Then which of the following statements is (are) TRUE?