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.
When you pay off a loan or other lien on a vehicle, the bank or other lienholder must sign the appropriate section of the vehicle title and mail or otherwise deliver it to you. You may then bring this to a DMV Full Service Office or mail it to us to have the lienholder removed and obtain a clear title.