Explanation:

Yoga literally means the union of the two principal entities. The origin of yoga is found in the Yogasutra of Patanjali believed to have been written in the second century BC. It is a part of the Vedic school of Indian Philosophy. By purifying and controlling changes in the mental mechanism, yoga systematically brings about the release of purusha from prakriti. Yogic techniques control the body,
mind and sense organs. Thus this philosophy is also considered a means of achieving freedom or mukti. This freedom could be attained by practising self-control (yama), observation of rules (niyama), fixed postures (asana), breath control (pranayama), choosing an object (pratyahara) and fixing the mind (dharna), concentrating on the chosen object (dhyana) and complete dissolution of self, merging the mind and the object (Samadhi). Yoga admits the existence of God as a teacher and guide.
Nyaya : literally means "rules", "method" or "judgment". It is also the name of one of the six orthodox (astika) schools of Hinduism This school's most significant contributions to Indian philosophy was systematic development of the theory of logic, methodology, and its treatises on epistemology
Vaisheshikha : Vaisheshika school is known for its insights in naturalism.It is a form of atomism in natural philosophy. It postulated that all objects in the physical universe are reducible to parama?u (atoms), and one's experiences are derived from the interplay of substance (a function of atoms, their number and their spatial arrangements), quality, activity, commonness, particularity and inherence. Everything was composed of atoms, qualities emerged from aggregates of atoms, but the aggregation and nature of these atoms was predetermined by cosmic forces. Ajivika metaphysics included a theory of atoms which was later adapted in Vaise?ika school.
Vedanta : Vedanta reflects ideas that emerged from the speculations and philosophies contained in the Upanishads. According to it, brahma is the reality and everything else is unreal (maya). The self (soul) is identical with brahma. Therefore if a person acquires the knowledge of the self (atma) he realizes the knowledge of brahma.