Solution:

From the hint given to us, we understand the meaning of terse. We also know that it's an adjective. Hence, we are able to infer that the alternative of the given word must mean something thorough or elaborate.
Concise means brief or in a very summarised manner. it's an adjective. We observe that it doesn't match the meaning of the other word which we had inferred for terse. Hence option A isn't the right answer.
Detailed means to be thorough and elaborate. it's an adjective. We observe that it matches the meaning of the alternative word which we had inferred for terse. Hence option B is possibly the proper answer.
Curt means to be blunt with sparing use of words. We observe that it doesn't match the meaning of the alternative word which we had inferred for terse. Hence option C isn't the right answer.
Articulate means fluent or having the ability to talk clearly. We observe that it doesn't match the meaning of the other word, which we had inferred. Hence option D isn't the right answer.Hence, we are able to conclude that option B, detailed is that the correct answer.

Note: Terse also means to be rude or impolite and in this context, the alternative of it'll mean politeness. for instance, her terse reply failed to go down well with the teacher. However, within the given context of the question, this meaning isn't applicable.