Incomplete question. However, I provided explanations about the terms.
Step-by-step explanation:
Basically, the term direct imperial control is used to describe a governance system in which the imperial masters directly control the day-to-day affairs of the colonies they govern, relinquishing little powers to the indigenous rulers.
Meanwhile, in the indirect imperial control, some form of authority is granted to the indigenous rulers by the imperial masters. Thus, this enables the rulers to set some of their own rules, administer headship, etc.