A non-empty collection of circles is drawn in a plane. Consider the statement:
For every straight line through the origin, there is at least one circle in the collection that meets the line at two distinct points.
Which of the following is the negation of this statement?
AThere is a straight line through the origin that has no point in common with any circle in the collection
BFor every straight line through the origin, there is a circle in the collection that meets the line at at most one point
CThere is a straight line through the origin and a circle in the collection that meet at at most one point
DThere is a straight line through the origin that meets every circle in the collection at at most one point
EFor every circle in the collection, there is a straight line through the origin that meets it at at most one point