Question

Name a line that is not contained in plane N

Answer 1

Line AE as part of the line is protruting out of Plane N. In order for the lines to be considered in of Plane N, the line should not be protruting out.

Hope this helps:)

Answer 2

Line AE.  See how it's drawn with part dashed? The dashed part is to indicate that it's hidden behind the plane, as if the plane were a table top.