(a) If the plant is homozygous for the dominant trait.
(i) If the plant is homozygous for the dominant trait.

(All plant with axial flower)
(ii) If the plant is heterozygous for the dominant trait)

(50% plants are with axial flower and 50% plants are with terminal flower)
Conclusion: If all progeny show axial flowers (dominant) the plant is homozygous (AA), If 50% of progeny show axial flower (Dominant) and 50% terminal flower (Recessive) the plant is heterozygous.
(b) Law of Segregation is universally accepted. It states that allelic pair segregate (separates) during gamete formation.