Concept:
Amino acids are classified based on the nature of their side chains (R-groups) into acidic, basic, and neutral amino acids. Basic amino acids have side chains that can accept protons and thus carry a positive charge (cation) at physiological pH (7.4).
Step 1: Identify basic amino acids.
The common basic amino acids are:
• Lysine
• Arginine
• Histidine (weakly basic)
These contain additional amino groups in their side chains, making them positively charged.
Step 2: Analyze the given options.
• (A) Lysine and Methionine → Methionine is neutral $\times$
• (B) Methionine and arginine → Methionine is neutral $\times$
• (C) Lysine and Valine → Valine is neutral $\times$
• (D) Arginine and Lysine → Both are basic amino acids \checkmark
Step 3: Conclusion.
Thus, the basic amino acids are:
\[
\text{Arginine and Lysine}
\]