privately vs in private

privately and in private both are adverbs.

Word	Noun	Adjective	Verb	Adverb
privately	No	No	No	Yes
in private	No	No	No	Yes

As adverbs, privately and in private are synonyms defined as:

privately and in private: kept private or confined to those intimately concerned

Other synonyms of privately include in camera.

privately (adverb)	in private (adverb)
kept private or confined to those intimately concerned	kept private or confined to those intimately concerned
by a private person or interest