The correct pair of tropisms that describe the observed responses of the plant with deep roots and tendrils wrapping around objects are hydrotropism and thigmotropism.
- Hydrotropism refers to the growth response of plant roots toward moisture (water).
- Thigmotropism is the growth response of a plant to touch or physical contact, which explains the tendrils wrapping around objects.
Thus, the answer is hydrotropism and thigmotropism.