The correct passive form of the given sentence is:

☀ I couldn't be moved to the hospital and was operated on at home by the doctor.

 Let's break down the options:

1. I couldn't be moved to the hospital and was operated on at home by the doctor. (Correct) This sentence correctly uses the passive voice for the first part of the sentence, and it keeps the second part of the sentence in the active voice, which accurately represents the meaning of the original sentence.

2. I couldn't be moved to the hospital and I had to be operated on at home. (Incorrect) This option uses the passive voice for the first part of the sentence, but it changes the meaning in the second part by adding "I had to be operated on." The original sentence does not explicitly mention "having to be operated on."

3. I couldn't be moved to the hospital and I was operated at home by the doctor. (Incorrect) This option attempts to use the passive voice for the first part of the sentence but does not include "on" after "operated." The correct form should be "operated on" to maintain the meaning of the original sentence.

4. I couldn't be moved to the hospital by the people and operated on at home. (Incorrect) This option changes the meaning by omitting "by the doctor" in the second part of the sentence. The original sentence specifies that "the doctor" performed the operation.