Concept:
Amino acids are classified based on two main criteria:
• Nutritional Requirement:
• Essential Amino Acids: Cannot be synthesized by the body and must be supplied in the diet (e.g., Lysine, Arginine, Valine, Leucine, Isoleucine, Threonine, Methionine, Phenylalanine, Tryptophan, Histidine).
• Non-Essential Amino Acids: Can be synthesized by the body internally (e.g., Alanine, Serine, Tyrosine, Glycine, Aspartic acid, Glutamic acid).
• Chemical Nature (Side chain properties):
• Basic Amino Acids: Contain extra amino groups (\(-\text{NH}_2\)) relative to carboxyl groups in their side chains, giving them a net positive charge at physiological pH (e.g., Lysine, Arginine, Histidine).
• Neutral Amino Acids: Contain an equal number of amino and carboxyl groups, and their side chains do not carry a net charge (e.g., Alanine, Serine, Tyrosine, Glycine, Valine).
Step 1: Evaluating category \(X\): Essential and basic amino acids.
Let's analyze the given options for set \(X\):
• a) Lysine: It is an essential amino acid and contains an extra \((-\text{NH}_2)\) group in its aliphatic side chain. Thus, it is basic.
• d) Arginine: It is an essential (semi-essential) amino acid and contains a highly basic guanidino group in its side chain. Thus, it is basic.
Therefore, \(X = \{a, d\}\).
Step 2: Evaluating category \(Y\): Non-essential and neutral amino acids.
Let's analyze the remaining options for set \(Y\):
• b) Alanine: Synthesized naturally by the body (non-essential) and features a simple methyl group side chain (neutral).
• c) Serine: Synthesized by the body (non-essential) and features a polar hydroxymethyl side chain (neutral).
• e) Tyrosine: Formed from phenylalanine inside the body (non-essential) and contains a phenolic side chain that is uncharged at physiological pH (neutral).
Therefore, \(Y = \{b, c, e\}\).
Combining both results yields the set configuration: \(X = a, d\) and \(Y = b, c, e\), which corresponds perfectly to option (B).