The correct pair of tropisms that describe the responses of a plant with deep roots and tendrils that wrap around objects is hydrotropism and thigmotropism.
- Hydrotropism refers to the growth response of a plant root to moisture (water) gradients in the soil, which is consistent with the plant having deep roots.
- Thigmotropism refers to the growth response of a plant to physical contact or touch, which applies to the tendrils wrapping around objects.
So the answer is hydrotropism and thigmotropism.