During an iterative derivative$-$based optimization, evaluation of the objection function and its

gradient establishes a line on which to search for the next point in the iterative search for the

minimum. Identify the choice which best describes the geometric relation between the search

line and the minimal level set that can be reached during the line search.

The level set is tangent to the search line.

The level set does not intersect the search line.

None of these choices properly describes the relation.

The level set has a transverse intersection with the search line.