French is a Romance Language.
They are all members of the Centum branch of the Indo-European language family.
French belongs to the Romance language family, which is a subfamily of the larger Indo-European language family. It evolved from Latin, the language of the Roman Empire, and is closely related to other Romance languages like Spanish, Italian, and Portuguese.
It is a Romance language; as is French, Spanish, Portuguese, and Romanian.
Romance
Tamil and Telugu belong to the Dravidian language family.
Most European languages belong to the Indo-European language family.
Vietnamese belongs to the Austroasiatic language family.
Sanskrit belongs to the Indo-European language family.
Arabic belongs to the Semitic language family, Farsi belongs to the Indo-European language family. So yes, Farsi has more in common with Russian, French, Irish, and English than it does with Arabic.
English and Italian both belong to the Indo-European language family. More specifically, Italian is considered a Romance language while English is Germantic.
India
The vast majority of European languages belong to the Indo-European language family, although most of the languages along the Baltic (Finnish, Estonian...) and Hungarian belong to the Uralic language family.