The lysogenic cycle is a viral reproductive cycle in which

a.
the virus causes the the host to become extremely ill.
b.
the virus causes the cell to lyse.
c.
the viral dna becomes part of the host dna.
d.
the viral dna digests the host dna.

Option C, The viral DNA becomes part of the host DNA.

Explanation:

Lysogenic cycle of the virus is when a virus replicates and grows together with its host. The viral DNA is mixed together with the host's cellular DNA.

This may also be described as that in lysogenic cycle, the virus shares the host cells biosynthetic machinery and replicate together with it, whereas in lytic cycle it completely sidelines (eliminates) the host and uses the hosts machinery for its own growth. As a result the host becomes extremely ill and dies.