Answer is : (b) Lysine
Lysine is not involved in gluconeogenesis. Gluconeogenesis is the biosynthesis of new glucose from certain non-carbohydrate carbon substrates like amino acids, etc. Out of the 20 amino acids, 18 are glucogenic (i.e. can be converted to glucose upon gluconeogenesis) while the remaining two amino acids, i.e. lysine and leucine are purely ketogenic (i.e. can be degraded into acetyl-Co-A).
