Final answer:
Rh immunoglobulin administration is needed when an Rh-negative mother has been exposed to Rh-positive fetal blood. The positive Kleihauer-Betke test indicates a significant amount of fetal blood, requiring Rh immunoglobulin administration to prevent future immune responses.
Step-by-step explanation:
Rh immunoglobulin administration is required in situations where an Rh-negative mother has been exposed to Rh-positive fetal blood. This commonly occurs during pregnancy, childbirth, or any event that can cause mixing of maternal and fetal blood. The correct answer to the question is option d. Positive Kleihauer-Betke test. This test is used to determine the amount of fetal blood that has entered the maternal circulation. If the test is positive, indicating a significant amount of fetal blood, Rh immunoglobulin administration is recommended to prevent the mother from developing an immune response against Rh-positive blood in future pregnancies.