If you are purchasing a car from a private party, you must supply the DMV with the following, except:

Seller's insurance card

Explanation:

The department of motor Vehicles (DMV) was established to take care of your personal vehicle registration and driver licensing.

When you purchase a car from a private party, all the risk that is created from the purchase (whether the car is in good condition or whether the car is overpriced) would be fall to you alone. After the purchase was made, the car will be your private property, and the one who sell it will have nothing to do with that car anymore.

So, When filling data needed by vehicle registration and driver licensing, seller's insurance card would not be needed by the DMV.