Step 1: Start from microbiology. The defining oddity of Mycoplasma is the total absence of a peptidoglycan cell wall, which makes it pleomorphic and unstainable by Gram stain.
Step 2: Connect structure to drug failure. Beta-lactams such as cephalosporins kill by blocking transpeptidation of the wall. If there is no wall, the drug has no target, so Mycoplasma is innately resistant to all wall-acting agents.
Step 3: Pick ceftriaxone. Among the choices ceftriaxone is the named third-generation cephalosporin (a beta-lactam), so it is the agent Mycoplasma resists.
Step 4: Confirm by elimination. Fluoroquinolones hit DNA gyrase and aminoglycosides hit the ribosome, both of which Mycoplasma still possesses, so those drugs (along with macrolides and tetracyclines) can work and are not the answer.
\[\boxed{\text{Ceftriaxone}}\]