Final answer:
The Depo-Provera injection is contraindicated for patients with a family or personal history of osteoporosis due to its potential to decrease bone mineral density.
Step-by-step explanation:
The contraceptive that is contraindicated for patients who have a family or personal history of osteoporosis is the Depo-Provera injection. Depo-Provera is a hormonal contraceptive that contains progestin and is administered through an injection every three months. One of the potential side effects of Depo-Provera is a decrease in bone mineral density, which can be problematic for individuals with a history of osteoporosis.