Tell me whether the following European languages are in the Indo-European language family or not: Spanish, English, Basque, Finnish, Romanian, Hungarian, and Catalan.

Spanish, Romanian, and Catalan are all Indo-European languages classified within the Romance branch of Indo-European languages.  English and German are both Indo-European languages classified within the Germanic branch of Indo-European languages.  Basque, Finnish, and Hungarian are not Indo-European languages.  Basque is a language isolate and is not known to be related to any other living language.  Finnish and Hungarian are Uralic languages and are not related to the Indo-European languages.