Which of the following statements about the development of education during medieval India are correct?

1. Madrasas, established under the Delhi Sultanate, were primarily focused on religious education, but they also contributed to advancements in mathematics and medicine.
2. Temples in South India, like those in Tamil Nadu, served dual purposes as centers for worship and education for both men and women.
3. The introduction of Persian as the court language by the Mughals facilitated the spread of science and philosophy, especially through translations of Sanskrit texts.
4. Educational institutions during the medieval period were largely patronized by the state and played a significant role in maintaining social hierarchies.