Since any map projection is a representation of one of those surfaces on a plane, all map projections distort. Every distinct map projection distorts in a distinct way. The study of map projections is the characterization of these distortions.
If you have the car as collateral, the loan company will take the car. The co-signer is not automatically put on the title, that would be between you and the co-signer. My father co-signed a loan when I was younger, and my name was on the title, not his.
Inspect the title. The car title will indicate -- typically on the back of the document -- the name and location of the bank or lender that has a security interest in the vehicle. Write this down or ask the seller to give you a copy of title with the lien information.