which group of languages does the above mentioned language belong to?
It is a classical language of South Asia belonging to the Indo-Aryan branch of the Indo-European languages.
Sanskrit
 is a classical language of South Asia belonging to the Indo-Aryan branch of the Indo-European languages. 
who is believed to be the originator of yoga Ancient India traditionally, what is the primary aim of this exercise? The ultimate goal of Yoga is "Moksha" (liberation), although the exact form this takes depends on the philosophical or theological system with which it is conjugated. can you name some texts that expound this in the classical period? Rig Veda,  Upanishad which language was the former composed in? Sanskrit when was it first written down? Between 1500 BCE and 1200 BCE how was it appropriated in the nineteenth and twentieth centuries? It is mostly used for literature and  Carnatic and Hindustani branches of classical music who were some of the early masters of the first tradition of music you just mentioned? UNANSWERABLE what are some of the musical instruments that accompany this tradition? UNANSWERABLE
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Sanskrit [SEP] Introduction
Sanskrit (, attributively संस्कृत-, "saṃskṛta-", nominally संस्कृतम्, "saṃskṛitam") is a classical language of South Asia belonging to the Indo-Aryan branch of the Indo-European languages. It arose in South Asia after its predecessor languages had diffused there from the northwest in the late Bronze age. Sanskrit is the sacred language of Hinduism, the language of classical Hindu philosophy, and of historical texts of Buddhism and Jainism. It was a link language in ancient and medieval South Asia, and upon transmission of Hindu and Buddhist culture to Southeast Asia, East Asia and Central Asia in the early medieval era, it became a language of religion and high culture, and of the political elites in some of these regions.