My British residency card states that I am the "Family Member of an EEA national". Do I require a visa to travel to France?
If your British residency card states "Family Member of an EEA national", this family member is not a French or UK citizen, you have official documentation to prove this relationship and you are either travelling together with this person or going to meet them in France, you do not require a visa to travel. However, if you fail to meet any of these criteria, you do require a visa to travel. Please note the the exact words "Family Member of an EEA national" must be written on your residency card and that the quality of simply "being" a family member of an EEA national does not remove the passport holder's requirement to obtain a visa for travel.
https://www.tlscontact.com/gb2fr/help.php#need_visa