Hi Dear,
Yes, degree from UGC approved private colleges is valid anywhere in the country. However, all degrees might not be valid across globe. You'll have to check the norms of the institute outside India with respect to acceptance of different degrees from private institutes separately.
For more details visit the following link:
https://www.ugc.ac.in/page/Edu-Abroad-for-Indian-Students.aspx
Hope this helps.. Good Luck
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