Step 1: Concept
Essential amino acids cannot be synthesized by the human body from metabolic intermediates. Because the body cannot produce them, they must be obtained entirely through dietary intake.
Step 2: Meaning
* Essential amino acids include: Valine, Leucine, Isoleucine, Lysine, Methionine, Phenylalanine, Threonine, Tryptophan, and Histidine.
* Non-essential amino acids can be synthesized natively by human metabolic pathways.
Step 3: Analysis
* Set A: Lysine is essential, but Alanine can be synthesized from pyruvate via transamination, making it non-essential $\rightarrow$ Incorrect.
* Set B: Both Lysine and Methionine are essential amino acids that must be obtained from food $\rightarrow$ Correct.
* Set C: Threonine is essential, but Serine can be synthesized from 3-phosphoglycerate, making it non-essential $\rightarrow$ Incorrect.
* Set D: Both Methionine and Threonine are essential amino acids $\rightarrow$ Correct.
Step 4: Conclusion
Sets B and D are the only pairs made up entirely of essential amino acids. This corresponds to option B.
Final Answer: (B)