As an EU citizen exercising his treaty rights, can I travel to France via Geneva with my family?

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Let's just say: I am Danish, exercising treaty rights in the UK, where I live with my Russian wife. My wife has a UK Residence Card due to being part of my family. Switzerland require a visa (free and quick but annoying).
Two questions, can we fly to Geneva (will the airline let us board) without a visa (only usual docs)? Do we have to exit via the French part of the airport?
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Can EU family member travel to Switzerland?
EU or EFTA citizens must satisfy the following entry requirements: They must present valid personal identification, an ID card or a passport. Depending on the country, Switzerland may recognise other travel documents.Do you join or travel with a family member from an EU country excluding France?
Under EU rules, you have the right to travel together with your core family members (non-EU spouse, children, dependent parents or dependent grandparents) to an EU country other than the one you are a national of.Can I travel to France with EEA family permit?
Once in France, the application for a residence permit \u201cMember of the family of a citizen of the Union / EEA / Switzerland\u201d is compulsory and must be made to the Prefecture of the place of residence, within 3 months of entry into France.Can EU family member travel to Europe without visa after Brexit?
EU , EEA and Swiss citizens can travel to the UK for holidays or short trips without needing a visa. In other cases, find out if you need to apply for a visa to enter the UK . You can cross the UK border using a valid passport which should be valid for the whole time you are in the UK .Rights of EU Citizens (That Many Somehow Don't know!)
Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.
Images: Joe Fitzpatrick, Nicolas Veithen, Niki Nagy, Andrea Piacquadio