A line has equation \(y = 2x + 3\) and a curve has equation \(y = cx^2 + 3x - c\), where \(c\) is a constant.

Showing all necessary working, determine which of the following statements is correct.

A. The line and curve intersect only for a particular set of values of \(c\).

B. The line and curve intersect for all values of \(c\).

C. The line and curve do not intersect for any values of \(c\).