The main difference between the lysogenic and lytic cycles lies in the fate of the host cell and the viral replication process:
The host cell is destroyed during the lytic cycle. This statement is true; in the lytic cycle, the virus replicates within the host cell, eventually causing the cell to lyse (burst) and release new viral particles.
Conversely, in the lysogenic cycle, the viral DNA integrates into the host cell's DNA and can remain dormant, replicating along with the host cell without destroying it immediately. The virus does not immediately kill the host in this cycle, but it can enter the lytic cycle later under certain conditions.
Other statements provided are incorrect in the context of differentiation between the two cycles. Specifically, viral proteins are synthesized primarily during the lytic cycle, and while the virus injects DNA into the host cell in both cycles, the key distinction lies in the replication strategy and outcome for the host cell.