The Nyaya-Vaiseshika school of philosophy was founded by Gautama, who wrote the Nyaya Sutras, and Kanada, who wrote the Vaiseshika Sutras.

The Nyaya school of philosophy is primarily focused on logic and epistemology, which are the study of reasoning and knowledge.

The Vaiseshika school of philosophy is primarily focused on metaphysics and ontology, which are the study of reality and existence.

The theory of pramanas in the Nyaya-Vaiseshika school of philosophy is the theory of four valid means of knowledge, which are perception, inference, comparison, and testimony.

The theory of padarthas in the Nyaya-Vaiseshika school of philosophy is the theory of six categories of reality, which are substance, quality, action, generality, particularity, and inherence.

The theory of atomism in the Nyaya-Vaiseshika school of philosophy is the theory that all matter is composed of atoms, which are indivisible and indestructible particles.

The theory of karma in the Nyaya-Vaiseshika school of philosophy is the theory of action and its consequences, which states that every action has a corresponding reaction.

The theory of moksha in the Nyaya-Vaiseshika school of philosophy is the theory of liberation and freedom from suffering, which is the ultimate goal of human life.

Hypothesis is not a valid means of knowledge according to the Nyaya-Vaiseshika school of philosophy, as it is not based on direct observation or logical reasoning.

Negation is not a category of reality according to the Nyaya-Vaiseshika school of philosophy, as it is not a positive entity.

All of the above are types of atoms according to the Nyaya-Vaiseshika school of philosophy.

Mixed karma is not a type of karma according to the Nyaya-Vaiseshika school of philosophy, as karma is always either good or bad.

Moksha from samsara is not a type of moksha according to the Nyaya-Vaiseshika school of philosophy, as moksha is always liberation from the cycle of birth and rebirth.

Madhavacharya was not a major commentator on the Nyaya-Vaiseshika school of philosophy, as he was a follower of the Dvaita Vedanta school of philosophy.

The Bhagavad Gita is not a major text of the Nyaya-Vaiseshika school of philosophy, as it is a text of the Bhagavata Purana, which is a part of the Vaishnava tradition.