Answer: b) Here are the names of the actors who perform in this play
Step-by-step explanation:
First, ask yourself which sentence sounds correct. If you cannot base your answer off that:
a) the phrase, "is the names" does not agree; it must be "are the names"
b) no apparent mistakes
c) the phrase, "actors who performs in this play" is not correct, as performs can only be used if the noun before it is singular (I, You); it must be "actors who perform in this play
d) the phrase, "actor who perform in this play" is not correct because perform does not agree with actor; it should be "actor who performs in this play"
Using process of elimination, we can say that the answer is b)