Let's analyze both statements to determine their validity.
Statement I: Elements \(X\) and \(Y\) are the most and least electronegative elements, respectively, among \(N\), \(As\), \(Sb\), and \(P\). The nature of the oxides \(X_2O_3\) and \(Y_2O_3\) is acidic and amphoteric, respectively.
Therefore, Statement I is true.
Statement II: \(BCl_3\) is covalent in nature and gets hydrolyzed in water. It produces \([B(OH)_4]^-\) and \([B(H_2O)_6]^{3+}\) in the aqueous medium.
Therefore, Statement II is false because it incorrectly states the products of the hydrolysis of \(BCl_3\).
Hence, the correct answer is: Statement I is true but Statement II is false.
Method used for separation of mixture of products (B and C) obtained in the following reaction is: 