Jainism and Buddhism found patronage and influence in Tamil Nadu during the:

Vedic Age
Sangam Age
Post-Sangam Period
Early Medieval Period

The correct answer is: b) Sangam Age

Jainism and Buddhism found patronage and influence in Tamil Nadu during the Sangam Age. The Sangam Age was a period of great cultural and literary flourishing in Tamil Nadu, and Jainism and Buddhism were two of the major religions of the time. Both religions had a significant impact on Tamil culture, and their influence can still be seen in Tamil society today.

The Vedic Age was a period of time in ancient India when the Vedas, the sacred texts of Hinduism, were composed. The Vedic Age is generally considered to have lasted from around 1500 to 500 BCE. During this time, Hinduism was the dominant religion in India, and Jainism and Buddhism were not yet major religions.

The Post-Sangam Period was a period of time in Tamil Nadu that followed the Sangam Age. The Post-Sangam Period is generally considered to have lasted from around 300 CE to 600 CE. During this time, Hinduism continued to be the dominant religion in Tamil Nadu, but Jainism and Buddhism also became more popular.

The Early Medieval Period was a period of time in India that followed the Post-Sangam Period. The Early Medieval Period is generally considered to have lasted from around 600 CE to 1200 CE. During this time, Hinduism continued to be the dominant religion in India, but Jainism and Buddhism declined in popularity.

In conclusion, the correct answer is: b) Sangam Age. Jainism and Buddhism found patronage and influence in Tamil Nadu during the Sangam Age.