The correct option is
C were you born?
Option A: The underlined part 'have you been born' is in present perfect tense.
It expresses an action that began in the past and has just completed in the present. 'Born' means 'to take birth into this world' and the person cannot have just been born. Just born babies are not asked where they have been born.
Hence the underlined part has an error and option A is incorrect.
Option B: 'Were you born' is in simple past tense and expresses an action that happened in the past. The person's birth was an event in the past.
Hence option B is correct.
Options C and D: 'Have you born' and 'did you born' are both grammatically incorrect.
'Born' is a passive verb, because one can experience the action 'to be born', and not perform the action against an object (active voice).
On the contrary, the verb forms 'have born' and 'did born' are in active voice. They are incorrect because the main verb 'born' is passive.
Hence options C and D are wrong.