The correct answer is: D. had he come
The sentence “No sooner had he come than the police handcuffed him” is in the past perfect tense. The past perfect tense is used to talk about an event that happened before another event in the past. In this case, the event that happened before the police handcuffed him is his arrival.
The other options are incorrect because they are not in the past perfect tense. Option A, “he came,” is in the simple past tense. Option B, “did he came,” is a non-standard form of the simple past tense. Option C, “did he come,” is also in the simple past tense, but it is not the correct form to use with the word “no sooner.”
The word “no sooner” is a subordinating conjunction that indicates that the event in the main clause (the police handcuffed him) happened immediately after the event in the subordinate clause (he came). The subordinate clause must be in the past perfect tense to show that it happened before the main clause.