Hint: A preposition is a function word that combines with a noun or pronoun or noun phrase to form a prepositional phrase that can have an adverbial or adjectival relation to some other word.
Complete solution:
In the given question, we have to find out which of the options includes a preposition that introduces the subject, which in this case is homework.
Let us thus analyze the options given to us in this question -
Option (a.), 'of', refers to ‘Introducing subject matter’. Therefore, option (a.) is correct as it introduces the subject ‘homework’.
Option (b.), ‘on', refers to ‘Positioned at the upper surface of, touching from above’. Therefore, option (b.) is incorrect as it does not introduce the subject ‘homework’.
Option (c.), ‘at', refers to ‘In or very near a particular place’. Therefore, option (c.) is incorrect as it does not introduce the subject ‘homework’.
Option (d.), ‘about', refers to ‘(of quantities) imprecise but fairly close to correct. Therefore, option (d.) is incorrect as it does not introduce the subject ‘homework’.
Hence the correct answer is option ‘a’.
Note: In this question, it will be helpful for the student to recall the concept of adverbs. An adverb is a word that modifies something other than a noun. An adverb is the word class that qualifies verbs or clauses. For example – about, poorly.