Select the correct passive form of the given sentence.

Did the problems you had to face discourage you?

Were you discouraged by the problems you had to face?

The correct passive form of the given sentence is Were you discouraged by the problems you had to face?

The active voice of the sentence is Did the problems you had to face discourage you? This sentence is in the simple past tense, which is used to describe an action that happened in the past. The passive voice of the sentence is formed by putting the subject of the active sentence after the verb "to be" and the past participle of the main verb. In this case, the subject of the active sentence is "you" and the main verb is "discourage." The past participle of "discourage" is "discouraged." So, the passive form of the sentence is Were you discouraged by the problems you had to face?

The other options are incorrect because:

• Are you discouraged by the problems you had to face? is in the present tense, while the original sentence is in the simple past tense.
• Have you been discouraged by the problems you have to face? is in the present perfect tense, which is used to describe an action that has happened in the past but is still relevant to the present.
• Are you being discouraged by the problems you had to face? is in the present progressive tense, which is used to describe an action that is happening now.