For every n≥1, generic models of ZFC will be presented for either of the following two sentences: 1. There exists a linear Σn+21 set not equal to the projection of any uniform planar Πn+21 set. 2. There exists a linear Δn+21 set not equal to the projection of any uniform planar Πn+11 set. Ensuing consistency and independence corollaries are discussed.