Mechanism-based reasoning:
After fertilisation, the groundnut peg (gynophore) shows a strong response to gravity - it bends and grows straight down regardless of the plant's orientation, burying the ovary tip in the soil where the pod then develops.
This directional growth is driven by auxin redistribution under gravity, the same statolith-mediated mechanism that guides root growth, not by touch, chemicals or moisture gradients, which rules out the thigmotropic, chemotropic and hydrotropic options.
Hence the peg's downward growth is correctly classified as positively geotropic.