The correct option is A parthenogenesis
The development of egg into a new organism without fertilisation is called parthenogenesis. For example, drones in honeybees are formed from unfertilised eggs.
Metagenesis is alternation of generations. It refers to the alternation of a sexual phase and an asexual phase in the life cycle of an organism. It is observed in certain cnidarians like Obelia.
Gametogenesis is the process of formation of gametes.
Oogenesis is the process of formation of ovum (female gamete).