A plant is observed to have deep roots and tendrils that wrap around objects. Which pair of tropisms correctly described these responses?

The pair of tropisms that correctly describe these responses are geotropism and thigmotropism.

Geotropism, also known as gravitropism, is the plant's growth response to gravity. In the case of deep roots, the plant is exhibiting positive geotropism, where the roots grow downwards towards the Earth's gravitational pull.

Thigmotropism is the plant's response to touch or physical contact with objects. The tendrils wrapping around objects demonstrate positive thigmotropism as they grow towards and then wrap around the object they encounter.